Triangles & Congruence Flashcards
7 cards from real Geometry practice questions. Tap to flip, then mark Knew It or Still Learning โ missed cards come back until you master them.
Read the first 7 Triangles & Congruence flashcards as text
Two triangles have all three pairs of corresponding sides equal in length. Which congruence postulate proves them congruent?
Answer: SSS
Three pairs of equal sides guarantee congruence by the Side-Side-Side postulate.
Which combination does NOT guarantee two triangles are congruent?
Answer: SSA
SSA (Side-Side-Angle) is ambiguous and does not guarantee congruence.
In triangle ABC, angle A = 50 degrees and angle B = 60 degrees. What is angle C?
Answer: 70 degrees
Angles of a triangle sum to 180, so C = 180 - 50 - 60 = 70.
The Hypotenuse-Leg (HL) theorem applies only to which type of triangle?
Answer: Right triangles
HL congruence is valid only for right triangles because it references the hypotenuse.
Two triangles have two pairs of equal angles and the included sides equal. Which postulate applies?
Answer: ASA
Two angles with the side between them equal proves congruence by Angle-Side-Angle.
If two triangles are congruent, what is true about their corresponding parts?
Answer: All corresponding sides and angles are equal
Congruent triangles have all corresponding sides and angles equal (CPCTC).
A triangle has sides 5, 5, and 8. What type of triangle is it by its sides?
Answer: Isosceles
Exactly two equal sides make the triangle isosceles.