COPY: Triangle Congruence Theorems Quiz

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Questions and Answers

What does CPCTC stand for?

Corresponding parts of congruent triangles are congruent.

What are congruent sides?

Sides that have the exact same length.

What is the Angle Side Angle (ASA) Postulate?

If two triangles have corresponding angles and included sides that are congruent, then the triangles themselves are congruent.

What does the Side Side Side (SSS) Postulate state?

<p>If two triangles have corresponding sides that are congruent, then the triangles are congruent.</p> Signup and view all the answers

What is the Angle Angle Side (AAS) Postulate?

<p>If two triangles have corresponding angles and a non-included side that are congruent, then the triangles are congruent.</p> Signup and view all the answers

What is the Hypotenuse Leg (HL) Postulate?

<p>If two right triangles have a corresponding side and hypotenuse that are congruent, then the triangles are congruent.</p> Signup and view all the answers

What does the Side Angle Side (SAS) Postulate assert?

<p>If two triangles have corresponding sides and included angles that are congruent, then the triangles are congruent.</p> Signup and view all the answers

What are corresponding sides?

<p>Sides that have the same relative positions in geometric figures.</p> Signup and view all the answers

What are corresponding angles?

<p>Angles that have the same relative positions in geometric figures.</p> Signup and view all the answers

What does the Third Angles Theorem state?

<p>If the 2 angles of one triangle are congruent to 2 angles of another triangle, then the third angles are congruent.</p> Signup and view all the answers

What is the Isosceles Triangle Theorem?

<p>If 2 sides of a triangle are congruent, then the angles opposite those sides are congruent.</p> Signup and view all the answers

What is the Converse of the Isosceles Triangle Theorem?

<p>If 2 angles of a triangle are congruent, then the sides opposite of the angles are congruent.</p> Signup and view all the answers

What are congruent figures?

<p>Geometric figures that have the same shape and size.</p> Signup and view all the answers

What is an included side in a triangle?

<p>A side that is between two angles in a triangle.</p> Signup and view all the answers

What is an included angle in a triangle?

<p>An angle that is between two sides in a triangle.</p> Signup and view all the answers

Angle-Angle-Angle (AAA) proves triangles congruent.

<p>False (B)</p> Signup and view all the answers

Side-Side-Angle (SSA) proves triangles congruent.

<p>False (B)</p> Signup and view all the answers

What is an acute triangle?

<p>A triangle that has three acute angles.</p> Signup and view all the answers

What is an obtuse triangle?

<p>A triangle with one angle that measures greater than 90 degrees.</p> Signup and view all the answers

What is a right triangle?

<p>A triangle that has one angle whose measure is exactly 90 degrees.</p> Signup and view all the answers

What is an equiangular triangle?

<p>A triangle whose angles are all congruent.</p> Signup and view all the answers

What is a scalene triangle?

<p>A triangle that has no congruent sides.</p> Signup and view all the answers

What is an isosceles triangle?

<p>A triangle with at least two congruent sides.</p> Signup and view all the answers

What is an equilateral triangle?

<p>A triangle that has all three sides congruent.</p> Signup and view all the answers

What does the Triangle Sum Theorem state?

<p>The sum of the measures in a triangle is 180 degrees.</p> Signup and view all the answers

What does the Exterior Angle Theorem state?

<p>The sum of the remote interior angles is equal to the measure of the exterior angle.</p> Signup and view all the answers

What are congruent triangles?

<p>Triangles that have the same shape and size, all corresponding sides and angles are congruent.</p> Signup and view all the answers

What does CPCTC stand for?

<p>Corresponding parts of congruent triangles are congruent.</p> Signup and view all the answers

What is the Reflexive Property of Congruence?

<p>Segment DE is congruent to segment DE.</p> Signup and view all the answers

What does the Symmetric Property state?

<p>If segment DE is congruent to segment FG, then segment FG is congruent to segment DE.</p> Signup and view all the answers

What is the Transitive Property?

<p>If AB = CD and CD = EF, then AB = EF.</p> Signup and view all the answers

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