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Study sets matching "geo geometry theorems"

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Study sets matching "geo geometry theorems"

38 terms
Geometry Theorems
Complementary Angles
Supplementary angles
theorem
Vertical angles
Two angles whose measures equal 90 degrees
two angles whose measures equal 180 degrees
a statement that can be proven
4 angles formed by intersecting lines and facing in four diff…
Complementary Angles
Two angles whose measures equal 90 degrees
Supplementary angles
two angles whose measures equal 180 degrees
37 terms
Geometry Theorems
Properties of Segment Congruence
Properties of Angle Congruence
Right Angles Congruence Theorem
Congruent Supplements Theorem
Segment congruence is reflexive, symmetric, and transitive.
Angle congruence is reflexive, symmetric, and transitive.
All right angles are congruent.
If two angles are supplementary to the same angle (or to cong…
Properties of Segment Congruence
Segment congruence is reflexive, symmetric, and transitive.
Properties of Angle Congruence
Angle congruence is reflexive, symmetric, and transitive.
41 terms
Geometry theorems
Linear Pair Theorem
Vertical Angles Theorem
Corresponding Angles Postulate
Two Perps Theorem
If two angles form a linear pair, then they are supplementary.
If two angles are vertical angles, then they are congruent.
If two parallel lines are cut by a transversal, then the pair…
If two lines are perpendicular to the same line, then the lin…
Linear Pair Theorem
If two angles form a linear pair, then they are supplementary.
Vertical Angles Theorem
If two angles are vertical angles, then they are congruent.
Geometry Theorems
Complementary Angles
Supplementary angles
theorem
Vertical angles
Two angles whose measures equal 90 degrees
two angles whose measures equal 180 degrees
a statement that can be proven
4 angles formed by intersecting lines and facing in four diff…
Complementary Angles
Two angles whose measures equal 90 degrees
Supplementary angles
two angles whose measures equal 180 degrees
33 terms
Geometry Theorems
Corresponding Angles Postulate
Corresponding Angles Converse
Alternate Interior Angles
Alternate Exterior Angles
p: 2 parallel lines are cut by a transversal ... q: pairs of cor…
p: 2 lines are cut by a transversal and corresponding angles…
p: 2 parallel lines are cut by a transversal ... q: alternate in…
p: 2 parallel lines are cut by a transversal ... q: alternate ex…
Corresponding Angles Postulate
p: 2 parallel lines are cut by a transversal ... q: pairs of cor…
Corresponding Angles Converse
p: 2 lines are cut by a transversal and corresponding angles…
14 terms
Geometry Theorems
Corresponding Angles Theorem
Alternate Interior Angles Theorem
Alternate Exterior Angles Theorem
Same-Side Interior Angles Theorem
If two lines are parallel and intersected by a transversal, t…
If two lines are parallel and intersected by a transversal, t…
If two lines are parallel and intersected by a transversal, t…
If two lines are parallel and intersected by a transversal, t…
Corresponding Angles Theorem
If two lines are parallel and intersected by a transversal, t…
Alternate Interior Angles Theorem
If two lines are parallel and intersected by a transversal, t…
37 terms
Geometry Theorems
Properties of Segment Congruence
Properties of Angle Congruence
Right Angles Congruence Theorem
Congruent Supplements Theorem
Segment congruence is reflexive, symmetric, and transitive.
Angle congruence is reflexive, symmetric, and transitive.
All right angles are congruent.
If two angles are supplementary to the same angle (or to cong…
Properties of Segment Congruence
Segment congruence is reflexive, symmetric, and transitive.
Properties of Angle Congruence
Angle congruence is reflexive, symmetric, and transitive.
104 terms
Geometry Theorems
Distance formula
Midpoint formula
Slope formula
Slope intercept formula
Distance formula
Midpoint formula
38 terms
Geometry Theorems
Complementary Angles
Supplementary angles
theorem
Vertical angles
Two angles whose measures equal 90 degrees
two angles whose measures equal 180 degrees
a statement that can be proven
4 angles formed by intersecting lines and facing in four diff…
Complementary Angles
Two angles whose measures equal 90 degrees
Supplementary angles
two angles whose measures equal 180 degrees
12 terms
Geometry Theorems
Corresponding Angles Postulate
Converse
Converse of Corresponding Angles Postu…
Vertical Angle Theorem
If lines a parallel than corresponding angles are congruent
A converse swapd the hypothesis and conclusion
If- Corresponding angles are congruent... Then- The lines are pa…
If two angles are vertical then they are congruent
Corresponding Angles Postulate
If lines a parallel than corresponding angles are congruent
Converse
A converse swapd the hypothesis and conclusion
24 terms
Geometry-Theorems
Congruent Supplements Theorem
Congruent Complements Theorem
Vertical Angles Congruence Theorem
Congruence of Segments Theorem
If two angles are supplementary the to the same angle, then t…
If two angles are complementary to the same angle, then the t…
If two angles are vertical angles, then they are congruent.
Segment congruence is reflexive, symmetric, and transitive.
Congruent Supplements Theorem
If two angles are supplementary the to the same angle, then t…
Congruent Complements Theorem
If two angles are complementary to the same angle, then the t…
7 terms
Geometry Theorems
Theorem 2.1: Congruence of Segments
Theorem
Theorem 2.2: Congruence of Angles
Theorem 2.3: Right Angles Congruence T…
Segment congruence is reflexive, symmetric, and transitive
a statement that can be proven
Angle congruence is reflexive, symmetric, and transitive
All right angles are congruent
Theorem 2.1: Congruence of Segments
Segment congruence is reflexive, symmetric, and transitive
Theorem
a statement that can be proven
35 terms
Geometry Theorems
Complementary Angles
Supplementary angles
theorem
Vertical angles
Two angles whose measures equal 90 degrees
two angles whose measures equal 180 degrees
a statement that can be proven
4 angles formed by intersecting lines and facing in four diff…
Complementary Angles
Two angles whose measures equal 90 degrees
Supplementary angles
two angles whose measures equal 180 degrees
48 terms
Geometry Theorems
The Reflexive Property
The Symmetric Property
The Transitive Property
The Substitution Postulate
a=a
If a=b, then b=a
If a=b and b=c, then a=c
If a=b and b+c=d, then a+c=d
The Reflexive Property
a=a
The Symmetric Property
If a=b, then b=a
62 terms
Geometry Theorems
Exterior angle of a triangle
What is the exterior angle theorem?
What is the serum of the triangle ineq…
Define line
The angle that forms a linear pair with an angle of the trian…
And exterior angle of a triangle is greater then either remot…
The sum of any two sides of a triangle is greater than the th…
Two points are symmetric with respect to a line if the line i…
Exterior angle of a triangle
The angle that forms a linear pair with an angle of the trian…
What is the exterior angle theorem?
And exterior angle of a triangle is greater then either remot…
58 terms
Geometry: Theorems
Theorem 1-1
Theorem 1-2
Theorem 1-3
Midpoint Theorem
If two lines intersect, then they intersect exactly in one po…
Through a line and a point not on the line there is exactly o…
If two lines intersect, then exactly one plane contains the l…
If M is the midpoint of AB, then AM = 1/2 AB and MB = 1/2 AB.
Theorem 1-1
If two lines intersect, then they intersect exactly in one po…
Theorem 1-2
Through a line and a point not on the line there is exactly o…
14 terms
Geometry Theorems
Theorem 5.1- Midsegment Theorem
Theorem 5.2- Perpendicular bisector Th…
Theorem 5.3- Converse of the Perpendic…
Theorem 5.4- Concurrency of Perpendicu…
The segment connecting the midpoints of two sides of a triang…
In a plane, if a point is equidistant from the endpoints of a…
In a plane, if a point is equidistant from the endpoints of a…
The perpendicular bisectors of a triangle intersect at a poin…
Theorem 5.1- Midsegment Theorem
The segment connecting the midpoints of two sides of a triang…
Theorem 5.2- Perpendicular bisector Th…
In a plane, if a point is equidistant from the endpoints of a…
25 terms
Geometry Theorems
Linear Pair Theorem
Congruent Supplement Theorem
Congruent Complement Theorem
Reflexive Theorem
If two angles are a linear pair, then they are supplementary
Supplements of congruent angles are congruent to each other
Complements of congruent angles are congruent to each other
Every object is congruent to itself
Linear Pair Theorem
If two angles are a linear pair, then they are supplementary
Congruent Supplement Theorem
Supplements of congruent angles are congruent to each other
14 terms
Geometry Theorems
Definition of perpendicular
definition of complementary
definition of supplementary
Reflexive property
lines meet at right angles
two or more angels add to 90 degrees
two or more angels add to 180 degrees
any segment is congruent to itself
Definition of perpendicular
lines meet at right angles
definition of complementary
two or more angels add to 90 degrees
21 terms
Geometry Theorems
If two angles form a vertical angle, t…
If two angles are supplements of the s…
If two angles are complements of the s…
All right angles are congruent
vertical angles
congruent Supplements
congruent Complements
right angles
If two angles form a vertical angle, t…
vertical angles
If two angles are supplements of the s…
congruent Supplements
10 terms
geometry theorems
Perpendicular conditional
Perpendicular converse
Complementary conditional
Complementary converse
if 2 lines are perpendicular then they form a right angle
if 2 lines intersect at a right angle then they are perpendic…
if 2 angles are comp. then they form a right angle
if 2 angles from a right angle then they are comp.
Perpendicular conditional
if 2 lines are perpendicular then they form a right angle
Perpendicular converse
if 2 lines intersect at a right angle then they are perpendic…
12 terms
Geometry Theorems
Jeff Corresponding angles Postulate
Alternate interior angles theorem
Alternate exterior angles theorem
Consecutive interior angles theorem
When two parallel lines are cut by a traversal, the resulting…
When two parallel lines are cut by a transversal.
If two parallel lines are cut by a transversal, then the alte…
When two lines are cut by a transversal, the pair of angles o…
Jeff Corresponding angles Postulate
When two parallel lines are cut by a traversal, the resulting…
Alternate interior angles theorem
When two parallel lines are cut by a transversal.
18 terms
Geometry Theorems
Theorem 2.1 - Congruence of Segments
Theorem 2.2 - Congruence of Angles
Theorem 2.3 - Right Angles Congruence…
Theorem 2.4 - Congruent Supplements Th…
Segment congruence is reflexive, symmetric, transitive.... Ref…
Angle congruence is reflexive, symmetric, and transitive.... R…
All right angles are congruenet
If two angles are supplements of the same angle (or to congru…
Theorem 2.1 - Congruence of Segments
Segment congruence is reflexive, symmetric, transitive.... Ref…
Theorem 2.2 - Congruence of Angles
Angle congruence is reflexive, symmetric, and transitive.... R…
15 terms
Geometry Theorems
Theorem 2.2 "Congruent Supplements The…
Theorem 2.3 "Congruent Complementary T…
Theorem 2.4 "No Name"
Theorem 2.5 "No Name"
IF angle 1 and angle 3 are supplementary and angle 2 and angl…
IF angle 1 and angle 2 are complementary and angle 2 and angl…
All right angle are congruent
IF two angles are congruent and supplementary... THEN each angle…
Theorem 2.2 "Congruent Supplements The…
IF angle 1 and angle 3 are supplementary and angle 2 and angl…
Theorem 2.3 "Congruent Complementary T…
IF angle 1 and angle 2 are complementary and angle 2 and angl…
16 terms
Geometry Theorems
Congruent Supplementaries
Congruent Compliments
Congruent Right Angles
Congruent and Supplementary Angles
If two angles are supplements of the same angle then they are…
If two angles are compliments of the same angle then they are…
All right angles are congruent
If two angles are congruent and supplementary then they are b…
Congruent Supplementaries
If two angles are supplements of the same angle then they are…
Congruent Compliments
If two angles are compliments of the same angle then they are…
37 terms
Geometry Theorems
Properties of Segment Congruence
Properties of Angle Congruence
Right Angles Congruence Theorem
Congruent Supplements Theorem
Segment congruence is reflexive, symmetric, and transitive.
Angle congruence is reflexive, symmetric, and transitive.
All right angles are congruent.
If two angles are supplementary to the same angle (or to cong…
Properties of Segment Congruence
Segment congruence is reflexive, symmetric, and transitive.
Properties of Angle Congruence
Angle congruence is reflexive, symmetric, and transitive.
Geometry-Theorems
Congruent Supplements Theorem
Congruent Complements Theorem
Vertical Angles Theorem
Congruence of Segments Theorem
If two angles are supplementary the to the same angle, then t…
If two angles are complementary to the same angle, then the t…
If two angles are vertical angles, then they are congruent.
Segment congruence is reflexive, symmetric, and transitive.
Congruent Supplements Theorem
If two angles are supplementary the to the same angle, then t…
Congruent Complements Theorem
If two angles are complementary to the same angle, then the t…
19 terms
Geometry Theorems
Linear Pair Theorem
Congruent Supplements Theorem
Reflexive Theorem
Segment and Angle Addition
If they are linear pairs then they are always supplementary.
If there are supplements or congruent angles, then they are c…
Every object is congruent to itself.
If a segment of angle is added to congruent segments the resu…
Linear Pair Theorem
If they are linear pairs then they are always supplementary.
Congruent Supplements Theorem
If there are supplements or congruent angles, then they are c…
63 terms
Geometry theorems
Linear Pair theorem
Congruent Supplements Theorem
Congruent Complements Theorem
Reflexive Theorem
Two linear pair angles that are always supplementary.
Supplements of congruent angles are congruent to each other
Complements of congruent angles are congruent to eachother
every object is congruent to itself. (like a mirror) (used wi…
Linear Pair theorem
Two linear pair angles that are always supplementary.
Congruent Supplements Theorem
Supplements of congruent angles are congruent to each other
64 terms
Geometry Postulates and Theorems
they are congruent.... Right Angles Cong…
they are congruent.... Congruent Supplem…
they are congruent.... Congruent Supplem…
they are congruent.... Congruent Complem…
If two angles are right angles, then
If two angles are supplementary to the same angle, then
If two angles are supplementary to congruent angles, then
If two angles are complementary to the same angle, then
they are congruent.... Right Angles Cong…
If two angles are right angles, then
they are congruent.... Congruent Supplem…
If two angles are supplementary to the same angle, then
9 terms
Geometry Theorems
Angle-Side Theorem
Two equidistant points
Point on perpendicular bisector... (Equid…
Four Ways to Determine a Plane
If two angles of a triangle are congruent, the sides opposite…
Two points each equidistant from the endpoints of a segment d…
A point on the perpendicular bisector is equidistant from the…
1. Three noncollinear points determine a plane... 2. A line and…
Angle-Side Theorem
If two angles of a triangle are congruent, the sides opposite…
Two equidistant points
Two points each equidistant from the endpoints of a segment d…
16 terms
Geometry Theorems
Properties of Segment Congruence
Properties of Angles Congruence
Right Angles Congruence Theorem
Congruent Supplements Theorem
This theorem is reflective, symmetric, and transitive.
Angle congruence is reflective, symmetric, and transitive.
All right angles are congruent.
If two angles are supplementary to the same angle (or to cong…
Properties of Segment Congruence
This theorem is reflective, symmetric, and transitive.
Properties of Angles Congruence
Angle congruence is reflective, symmetric, and transitive.
26 terms
geometry theorems
congruent supplements theorem
congruent complements theorem
VAT
3.1
if two angles are supplementary to the same angle (or to cong…
if two angles are complementary to the same angle (or to cong…
vertical angles are congruent
if two lines intersect to form a linear pair of congruent ang…
congruent supplements theorem
if two angles are supplementary to the same angle (or to cong…
congruent complements theorem
if two angles are complementary to the same angle (or to cong…
13 terms
Geometry Theorems Chapter 2
Vertical Angles Theorem
Congruent Supplements Theorem
Congruent Complements Theorem
Right Angle Congruence Theorem
Vertical angles are conguent.
If two angles are supplements of the same angle or a congruen…
If two angles are complements of the same angle, then the two…
All right angles are congruent
Vertical Angles Theorem
Vertical angles are conguent.
Congruent Supplements Theorem
If two angles are supplements of the same angle or a congruen…
33 terms
Geometry Theorems
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
If the same number is added to equal ... numbers, then the sums…
If the same number is subtracted from equal ... numbers, then th…
If equal numbers are multiplied by the same ... number, then the…
If equal numbers are divided by the same ... number, then the qu…
Addition Property of Equality
If the same number is added to equal ... numbers, then the sums…
Subtraction Property of Equality
If the same number is subtracted from equal ... numbers, then th…
11 terms
GEOMETRY: THEOREMS
Problem : In what kind of triangle is…
Problem : In what kind of triangle is…
Problem : What does it say about a tri…
Problem : What must be true of a trian…
An equilateral triangle
An equilateral triangle
The triangle is a right triangle.
The triangle must be acute.
Problem : In what kind of triangle is…
An equilateral triangle
Problem : In what kind of triangle is…
An equilateral triangle
20 terms
Geometry Definitions, Postulates and Theorems
Definition of Midpoint
Vertical Angles Theorem
Reflexive property
Symmetric property
(Not def. Of congruent segments)
∠CXE=∠CXE
GH = KL so ... KL = GH
Definition of Midpoint
(Not def. Of congruent segments)
Vertical Angles Theorem
21 terms
Geometry Theorems
The Pythagorean Theorem
The Triangle Angle Sum Theorem
Theorem 3
Theorem 4
The square of the hypotenuse of a right triangle is equal to…
The sum of the angles of a triangle is 180 degrees
If the diameter of a circle is d, it's circumference is Pi d
If the radius of a circle is r, its area is Pi r squared
The Pythagorean Theorem
The square of the hypotenuse of a right triangle is equal to…
The Triangle Angle Sum Theorem
The sum of the angles of a triangle is 180 degrees
9 terms
Geometry Theorems
Theorem 1
Theorem 2
Theorem 3
Theorem 4
If two angles are complementary to the same angle or equal (C…
If two angles are supplementary to the same angle or equal (C…
If two angles are a linear pair, then they are supplementary.
Pairs of vertical angles are congruent (equal).
Theorem 1
If two angles are complementary to the same angle or equal (C…
Theorem 2
If two angles are supplementary to the same angle or equal (C…
8 terms
Geometry Theorems
If two lines intersect
Through any 2 points
If 2 planes intersect
Through any 3 points
It creates a point
There is 1 line
They create a line
There is a plane
If two lines intersect
It creates a point
Through any 2 points
There is 1 line
64 terms
Geometry Postulates and Theorems
they are congruent.... Right Angles Cong…
they are congruent.... Congruent Supplem…
they are congruent.... Congruent Supplem…
they are congruent.... Congruent Complem…
If two angles are right angles, then
If two angles are supplementary to the same angle, then
If two angles are supplementary to congruent angles, then
If two angles are complementary to the same angle, then
they are congruent.... Right Angles Cong…
If two angles are right angles, then
they are congruent.... Congruent Supplem…
If two angles are supplementary to the same angle, then
11 terms
Theorems Geometry
Midpoint Theorem
Supplement Theorem/ Linear Pair Theorem
Complement Theorem
Congruent Supplements Theorem
If M is the midpoint of line AB, then line AM is congruent to…
IF two angles forma linear pair, then they are supplementary…
If the noncommon sides of the two adjacent angles form a righ…
Supplements of the same angle, or congruent angles, are congr…
Midpoint Theorem
If M is the midpoint of line AB, then line AM is congruent to…
Supplement Theorem/ Linear Pair Theorem
IF two angles forma linear pair, then they are supplementary…
Geometry Theorems
Linear Pair Theorem
Vertical Angles Theorem
Parallel Lines and Slopes Theorem
Transitivity of Parallelism Theorem
If two angles form a linear pair, then they are supplementary.
If two angles are vertical angles, then they have equal measu…
Two nonvertical lines are parallel if and only if they have t…
If line x is parallel to line y and line y is parallel to lin…
Linear Pair Theorem
If two angles form a linear pair, then they are supplementary.
Vertical Angles Theorem
If two angles are vertical angles, then they have equal measu…
Geometry Theorems
Complementary Angles
Supplementary angles
theorem
Vertical angles
Two angles whose measures equal 90 degrees
two angles whose measures equal 180 degrees
a statement that can be proven
4 angles formed by intersecting lines and facing in four diff…
Complementary Angles
Two angles whose measures equal 90 degrees
Supplementary angles
two angles whose measures equal 180 degrees
46 terms
geometry theorems
vertical angles are congruent
perpendicular lines
if two lines form congruent adjacent a…
if two lines are perpendicular then th…
vertical angles are congruent
perpendicular lines
25 terms
Geometry Theorems
Polygon Interior Angles Theorem
Interior Angles of a Quadrilateral
Polygon Exterior Angles Theorem
Theorem 8.3
The sum of the measures of the interior angles of a convex n-…
The sum of the measures of the interior angles of a quadrilat…
The sum of the measures of the exterior angles of a convex po…
If a quadrilateral is a parallelogram, then its opposite side…
Polygon Interior Angles Theorem
The sum of the measures of the interior angles of a convex n-…
Interior Angles of a Quadrilateral
The sum of the measures of the interior angles of a quadrilat…
104 terms
Geometry Theorems
Distance formula
Midpoint formula
Slope formula
Slope intercept formula
Distance formula
Midpoint formula
14 terms
Geometry Theorems
Congruent Complements Theorems
Reflexive Theorem
Segment Addition Theorem
Segment Subtraction Theorem
Complements of congruent angles are congruent to each other.
Every object is congruent to itself
If a segment is added to congruent segments the results is co…
If a segment is subtracted to congruent segments the results…
Congruent Complements Theorems
Complements of congruent angles are congruent to each other.
Reflexive Theorem
Every object is congruent to itself
9 terms
Geometry Theorems
theorem
Vertical angles
Angle addition Postulate
Linear pair theorem
a statement that can be proven
4 angles formed by intersecting lines and facing in four diff…
for any angle, the measure of the whole is equal to the sum o…
if two angles form a linear pair, then they are supplementary…
theorem
a statement that can be proven
Vertical angles
4 angles formed by intersecting lines and facing in four diff…
11 terms
geometry theorems
If both pairs of opposite sides of a q…
If a quadrilateral has opposite angles…
If one pair of opposite sides of a qua…
If diagonals in a quadrilateral bisect…
parallelogram
parallelogram
parallelgram
parallelogram
If both pairs of opposite sides of a q…
parallelogram
If a quadrilateral has opposite angles…
parallelogram
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