Study sets matching "geometry theorems"
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Right angle congruence theorem
Congruent Supplements Theorem
Congruent Complements Theorem
Linear pair postulate
All right angles are congruent.
If two angles are supplementary to the same angle, or to congr…
If two angles are complementary to the same angle, or to congr…
If two angles form a linear pair, then they are supplementary.
Right angle congruence theorem
All right angles are congruent.
Congruent Supplements Theorem
If two angles are supplementary to the same angle, or to congr…
Segment Addition Postulate
Protractor Postulate
Angle Addition Postulate
Pythagorean Theorem
If B is between A and C, then AB+BC=AC.
Given segment AB and a point O on segment AB, all rays that ca…
If S is in the interior of angle PQR, then measure angle PQS +…
In a right triangle, the sum of the squares of the lengths of…
Segment Addition Postulate
If B is between A and C, then AB+BC=AC.
Protractor Postulate
Given segment AB and a point O on segment AB, all rays that ca…
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 congruent…
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 congruent…
congruent complement theorem
congruent complement theorem example
congruent supplements theorem
congruent supplements theorem example
2 angles that are complementary to the same angle and have to…
angle 1=25, angle 2=65 If I know angle 3 is complementary to a…
2 angles that are supplementary to the same angle and have to…
angle 1=100, angle 2=80 If I know angle 3 is supplementary to…
congruent complement theorem
2 angles that are complementary to the same angle and have to…
congruent complement theorem example
angle 1=25, angle 2=65 If I know angle 3 is complementary to a…
Theorem 1
Theorem 1a
Theorem 2
Theorem 2a
If 2 angles are equal then their supplements are equal
If 2 supplements are equal then the angles are equal
If 2 angles are equal then their complements are equal
If 2 complements are equal them the angles are equal
Theorem 1
If 2 angles are equal then their supplements are equal
Theorem 1a
If 2 supplements are equal then the angles are equal
Segment addition postulate
Angle addition postulate
Through any two points
Through any three points there is at le…
If B is between A and C, then AB + BC = AC.
If point B lies in the interior of angle AOC, then measurement…
Through any two points there is exactly one line
Through any three points there is at least one plane, and thro…
Segment addition postulate
If B is between A and C, then AB + BC = AC.
Angle addition postulate
If point B lies in the interior of angle AOC, then measurement…
Angle Bisector Theorem
Converse of the Angle Bisector Theorem
Incenter Theorem
Incenter
If a point is on the angle bisector then the point is equidist…
If a point is equidistant from the sides of an angle then the…
The incenter is equidistant from the sides
Point of concurrency of angle bisectors
Angle Bisector Theorem
If a point is on the angle bisector then the point is equidist…
Converse of the Angle Bisector Theorem
If a point is equidistant from the sides of an angle then the…
3.1
3.2 Alternate Interior Angles (AIA) The…
3.3 Consecutive Interior Angles (CIA) T…
Alternate Exterior Angles (AEA) Theorem
If two parallel planes are cut by a third plane, then the line…
If two parallel lines are cut by a transversal, then alternate…
If two parallel lines are cut by a transversal, then the same-…
If two parallel lines are cut by a transversal, then alternate…
3.1
If two parallel planes are cut by a third plane, then the line…
3.2 Alternate Interior Angles (AIA) The…
If two parallel lines are cut by a transversal, then alternate…
Midsegment theorem
Perpendicular bisector theorem
Converse of the perpendicular bisector…
Concurrency of perpendicular bisectors…
The segment connecting the midpoints of two sides of a triangl…
In a plane, if a point is on the perpendicular bisector of a s…
The perpendicular bisectors of a triangle intersect at a point…
Midsegment theorem
The segment connecting the midpoints of two sides of a triangl…
Perpendicular bisector theorem
In a plane, if a point is on the perpendicular bisector of a s…
Therom 1.1
Theorem 1.2
Theorem 1.3
Theorem 2.1
Congruence of segments is reflexive, symetric, and transitive.
If two segments are congruent to the same segment, then they a…
If two angles are congruent to the same angle, then they are c…
The sum of the measures of the angles in a linear pair is 180.
Therom 1.1
Congruence of segments is reflexive, symetric, and transitive.
Theorem 1.2
If two segments are congruent to the same segment, then they a…
Theorem
Vertical Angles Theorem (2-1)
Congruent Supplements Theorem (2-2)
Congruent Complements Theorem (2-3)
a statement that you prove or that is proven to be true
vertical angles are congruent
if 2 angles are supplements of the same angle or of congruent…
if 2 angles are complements of the same angle or of congruent…
Theorem
a statement that you prove or that is proven to be true
Vertical Angles Theorem (2-1)
vertical angles are congruent
Theorem 3-1... Alternate Interior Angles T…
Theorem 3-2... Corresponding Angles Theorem
Theorem 3-3... Alternate Exterior Angles T…
Theorem 3-4... Converse of the Correspondi…
If a transversal intersects two parallel lines, then alternate…
If a transversal intersects two parallel lines, then correspon…
If a transversal intersects two parallel lines, then alternate…
If two lines and a transversal form corresponding angles that…
Theorem 3-1... Alternate Interior Angles T…
If a transversal intersects two parallel lines, then alternate…
Theorem 3-2... Corresponding Angles Theorem
If a transversal intersects two parallel lines, then correspon…
Adjacent angles sum theorem
Linear pair theorem
Vertical angle theorem
Midpoint theorem
If each of two adjacent angles is congruent to another angle i…
Angles that form a linear pair are supplementary
Vertical angles are congruent
If M is the midpoint of segment A.B. then AM equals one half AB
Adjacent angles sum theorem
If each of two adjacent angles is congruent to another angle i…
Linear pair theorem
Angles that form a linear pair are supplementary
The Pythagorean Theorem
The Triangle Angle Sum Theorem
Two Circle Theorems
(1) The Betweenness of Points Theorem
The square of the hypotenuse of a right triangle is equal to t…
The sum of the angle of a triangle is 180˚
IF the diameter of a circle is d, its circumference is πd. If…
If A - B - C, then AB + BC = AC
The Pythagorean Theorem
The square of the hypotenuse of a right triangle is equal to t…
The Triangle Angle Sum Theorem
The sum of the angle of a triangle is 180˚
Congruent complements theorem
Congruent supplements theorem
Right angle congruency theorem
Linear pair postulate THENTHE
If two angles are complementary to the same angle then the ang…
If two angles are supplementary to the same angle then they ar…
All right angles are 90 degrees
If two angles form a linear pair then they are 180 degrees
Congruent complements theorem
If two angles are complementary to the same angle then the ang…
Congruent supplements theorem
If two angles are supplementary to the same angle then they ar…
Congruences of segments
Congruence of angles
Right angles congruence theorem
Congruent supplements theorem
Segement congruence is reflexive, symmetric, transitive
Angle congruence is reflexive, symmetric, transitive
All right angles are congruent
If two angles are supplementary to the same angle, then they a…
Congruences of segments
Segement congruence is reflexive, symmetric, transitive
Congruence of angles
Angle congruence is reflexive, symmetric, transitive
Vertical Angles Theorem
Congruent Supplements Theorem
Congruent Complements Theorem
Theorem 2-4
Vertical angles are congruent
If 2 angles are supplements of the same angle (or congruent an…
If 2 angles are complements of the same angle (of congruent an…
All right angles are congruent.
Vertical Angles Theorem
Vertical angles are congruent
Congruent Supplements Theorem
If 2 angles are supplements of the same angle (or congruent an…
points and intersecting lines theorem
point, line and plane theorem
intersecting line and plane theorem
Midpoint Theorem
if two lines intersect, then they intersect at exactly one poi…
through a line and a point not in the line there is exactly on…
if two lines intersect then exactly one plane contains the lin…
If M is the midpoint about AB then AM=1/2AB and MB=1/2AB
points and intersecting lines theorem
if two lines intersect, then they intersect at exactly one poi…
point, line and plane theorem
through a line and a point not in the line there is exactly on…
tangent line to circle theorem
external tangent congruence theorem
congruent circles theorem
congruent central angles theorem
in a plane, a line is tangent to a circle if and only if the l…
tangent segments from a common external point are congruent.
two circles are congruent circles if and only if they have the…
in the same circle, or in congruent circles, two minor arcs ar…
tangent line to circle theorem
in a plane, a line is tangent to a circle if and only if the l…
external tangent congruence theorem
tangent segments from a common external point are congruent.
commutative property of addition
distributive property
addition property of equality
subtraction property of equality
a + b = b +a
a(b + c) = ab + ac
If a = b and c = d, then a + c = b + d
If a = b and c = d, then a - c = b - d
commutative property of addition
a + b = b +a
distributive property
a(b + c) = ab + ac