Unit 4 Test Review - Congruent Triangles

Front

Name this triangle: Isosceles, acute

Back

An isosceles triangle has at least two sides of equal length and two angles that are equal. An acute triangle has all angles less than 90°.

Front

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

Back

180°

Front

Which postulate or theorem proves the triangle congruent? ASA, SAS, SSA, SSS, HL

Back

HL: Hypotenuse Leg - This theorem applies to right triangles, stating that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What is #4 Statement? ∠MNL ≌ ∠ONP, MN ≌ ON, N ≌ N, MO ≌ OM

Back

MN ≌ ON - This indicates that the segments MN and ON are congruent.

Front

What is #3 Reason? Alternate Exterior Angles are congruent when formed by parallel lines, Alternate Interior Angles are congruent when formed by parallel lines, Vertical Angles are congruent, Definition of Angle Bisector

Back

Alternate Interior Angles are congruent when formed by parallel lines - This is a key property used in proving triangles congruent.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

Define congruent triangles.

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What does the SSS postulate state?

Back

The SSS (Side-Side-Side) postulate states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What is the definition of an acute triangle?

Back

An acute triangle is a triangle where all three angles are less than 90 degrees.

Front

What is the definition of a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides are of different lengths and all three angles are of different measures.