Triangle Proofs Postulates
Triangle proofs Equalities
Triangle proofs Theorems
Triangle proofs definitions
Random
100
What postulate states that if three sides of one triangle are congruent to three side of another triangle, then the triangles are congruent?
Side-side-side postulate (SSS)
100
What postulate states if a = b, then b = a.
Symmetric Property
100
What theorem states all right angles are congruent?
Right angle Theorem (R.A.T.)
100
What definition states having the exact same size and shape and there by having the exact same measures?
Definition of congruence
100
The first reason on any geometric proof is the ____.
Given
200
What postulate states that if two angles and the included side are congruent to two angles and the included side of another triangle, then the triangles are congruent?
Angle-Side-Angle postulate (ASA)
200
What postulate states if a = b and b = c, then a = c.
Transitive property
200
What theorem states vertical angles are congruent?
Verticals Angle Theorem (V.A.T.)
200
What definition states the point that divides a segment into two congruent congruent segments?
Definition of a midpoint
200
Name that dog breed.
Chihuahua
300
What postulate states that if a hypotenuse and a leg of one right triangle are congruent to a hypotenuse and a leg of another right triangle, then the triangles are congruent?
Hypotenuse-Leg postulate (HL)
300
What postulate states if point B is between A and C, then AB + BC = AC.
Segment addition postulate
300
What theorem states the three angles of a triangle sum to 180 degrees?
Triangle sum theorem
300
What definition states the ray that divides an angle into two congruent angles?
Definition of angle bisector
300
Solve for x.
2x + 3 = 9
x = 3
400
What postulate states that if two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle, then the triangle are congruent?
Angle-Angle-Side postulate (AAS)
400
What postulate states if two angles form a linear pair, then they are supplementary (their measures add up to 180°.
Linear pair postulate
400
What theorem states that complements of the same angle are congruent?
Congruent Complements Theorem
400
What definition states any two angles that have a sum of 180 degrees?
Definition of supplementary angles
400
How many points do a circle and a tangent line share?
One
500
What postulate States that if two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent?
Side-Angle-Side postulate (SAS)
500
What equality states that any measure is equal to itself (a = a)
Reflexive property of equality
500
What theorem states that the measure of an exterior angle of a triangle equals the sum of the measures of its two remote interior angles?
Exterior Angle Theorem
500
What definition states a straight path that has no thickness and extends forever, It also forms a straight angle which measures 180 degrees?
Definition of a straight line
500
If x = 12 and you are given 2x + 4, which property allows for you to find the value of this expression is 28?
Substitution Property of Equality