Study sets matching "geometry theorems"
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theorem 1
theorem 2
theorem 3
postulate
if a quadrilateral has 2 sets of opposite sides congruent, the…
congruence of segments is reflexive, symmetric, and transitive…
perpendicular lines intersect to form 4 right angles if 2 angl…
if 2 parallel lines are cut by a transversal, then the corresp…
theorem 1
if a quadrilateral has 2 sets of opposite sides congruent, the…
theorem 2
congruence of segments is reflexive, symmetric, and transitive…
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
linear pair theorem
congruent supplements theorem
right angle congruence theorem
congruent complements theorem
if two angles form a linear pair, then they are supplementary
if two angles are supplementary to the same angle (or two cong…
all right angles are congruent
if two angles are complementary to the same angle ( or two con…
linear pair theorem
if two angles form a linear pair, then they are supplementary
congruent supplements theorem
if two angles are supplementary to the same angle (or two cong…
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…
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
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
Right Angle Congruence Theorem
Right Angle Supplements Theorem
If two angles are vertical angles, then they are congruent.
If two angles are supplementary to the same angle (or to congr…
All right angles are congruent
If two angles are congruent and supplementary, then each is a…
Vertical Angles Theorem
If two angles are vertical angles, then they are congruent.
Congruent Supplements Theorem
If two angles are supplementary to the same angle (or to congr…
Chapter 2
Vertical Angles Theorem 2-1
Congruent Supplements 2-2
Congruent Complements 2-3
...
vertical Angles are congruent
If two angles are supplements of the same angle (or of congrue…
If two angles are complements of the same angle ( or of congru…
Chapter 2
...
Vertical Angles Theorem 2-1
vertical Angles are congruent
SSS
SAS
AAS
ASA
How can you prove these triangles are congruent?
How can you prove these triangles are congruent?
How can you prove these triangles are congruent?
How can you prove these triangles are congruent?
SSS
How can you prove these triangles are congruent?
SAS
How can you prove these triangles are congruent?
If two parallel lines are cut by a tran…
If two parallel lines are cut by a tran…
If two parallel lines are cut by a tran…
If two parallel lines are cut by a tran…
then alternate interior angles are congruent
then alternate interior angles are congruent
then alternate exterior angles are congruent
the interior angles on the same side of the transversal are su…
If two parallel lines are cut by a tran…
then alternate interior angles are congruent
If two parallel lines are cut by a tran…
then alternate interior angles are congruent
Postulate 1-1
Postulate 1-2
Postulate 1-3
Postulate 1-4
Through any two points there is exactly one line
If two lines intersect, they intersect at exactly one pount
If two distinct planes intersect, then they intersect in exact…
Through any three noncollinear points there is exactly one pla…
Postulate 1-1
Through any two points there is exactly one line
Postulate 1-2
If two lines intersect, they intersect at exactly one pount
Linear Pair Theorem
Congruent Supplements Theorem
Right angle congruence theorem
Congruent complements Theorem
If 2 angles form a linear pair, then they are supplementary
If 2 angles are supplementary to the same angle (or to two con…
All right angles are congruent
If 2 angles are complementary to the same angle (or to two con…
Linear Pair Theorem
If 2 angles form a linear pair, then they are supplementary
Congruent Supplements Theorem
If 2 angles are supplementary to the same angle (or to two con…
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…
Protractor Postulate
Angle Addition Postulate
Theorem #3
Theorem #4
guarantees that rays can be paired with the numbers between 0…
allows angle measure to be added; ex: if D is the interior of…
If two angles form a linear pair, then they are supplementary
If the noncommon sides of two adjacent angles form a right ang…
Protractor Postulate
guarantees that rays can be paired with the numbers between 0…
Angle Addition Postulate
allows angle measure to be added; ex: if D is the interior of…
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
Radius Tangent Theorem
Two- Tangent Theorem
Inscribed Angle Theorem
Inscribed Angles Congruence Theorem
If AB is tangent to circle O, then OA is perp. to AB
If AB and AC are tangent to circle D at B and C, then AB congr…
The measure of the inscribed angle is half the measure of its…
If two inscribed angles intercept the same arc, then the angle…
Radius Tangent Theorem
If AB is tangent to circle O, then OA is perp. to AB
Two- Tangent Theorem
If AB and AC are tangent to circle D at B and C, then AB congr…
If two lines intersect,...
Through a line and a point not on the l…
If two lines intersect, then exactly on…
Midpoint Theorem
then they intersect at exactly one point.
there is exactly one plane.
contains the lines.
If M is the midpoint of line AB then AM = 1/2AB and MB = 1/2AB
If two lines intersect,...
then they intersect at exactly one point.
Through a line and a point not on the l…
there is exactly one plane.
Congruent Supplements
Congruent Complements
Side Proportionality
Sum of Two Sides
Supplements of the same angle, or congruent angles, are congru…
Complements of the same angle, or congruent angles, are congru…
If two triangles are similar, the corresponding sides are in p…
The sum of the lengths of any two sides of a triangle must be…
Congruent Supplements
Supplements of the same angle, or congruent angles, are congru…
Congruent Complements
Complements of the same angle, or congruent angles, are congru…
If two angles are right angles, then...
If two angles are straight angles, then…
If a condition statement is true, then.…
If angles are supplementary to the same…
they are congruent
they are congruent
the contrapositive of the statement is true
they are congruent
If two angles are right angles, then...
they are congruent
If two angles are straight angles, then…
they are congruent