Geometry Triangles & Congruence 2

Question 1

Two triangles have all three pairs of corresponding sides equal in length. Which congruence postulate proves them congruent?

Accepted Answer

SSS

Answer

Three pairs of equal sides guarantee congruence by the Side-Side-Side postulate.

Question 2

Which combination does NOT guarantee two triangles are congruent?

Accepted Answer

SSA

Answer

SSA (Side-Side-Angle) is ambiguous and does not guarantee congruence.

Question 3

In triangle ABC, angle A = 50 degrees and angle B = 60 degrees. What is angle C?

Accepted Answer

70 degrees

Answer

Angles of a triangle sum to 180, so C = 180 - 50 - 60 = 70.

Question 4

The Hypotenuse-Leg (HL) theorem applies only to which type of triangle?

Accepted Answer

Right triangles

Answer

HL congruence is valid only for right triangles because it references the hypotenuse.

Question 5

Two triangles have two pairs of equal angles and the included sides equal. Which postulate applies?

Accepted Answer

ASA

Answer

Two angles with the side between them equal proves congruence by Angle-Side-Angle.

Geometry Practice Test