7
QuizMultiple Choice

Congruence in Right Triangles

Question 7 • Q5 Geometry New 2022

Analyze the diagram below and complete the instructions that follow. is an isosceles triangle with base . Determine whether by the HL theorem. Explain your reasoning. The diagram is not to scale.

Question illustration
Answer
A
1) , given 2) , definition of an isosceles triangle 3) by the HL theorem
B
1) , given 2) , definition of an isosceles triangle 3) , all right angles are congruent 4) by the HL theorem
C
1) , given 2) , definition of an isosceles triangle
D
The triangles are not right triangles, so the HL theorem cannot be used to prove congruence.
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