AnswersQ5 Geometry New 2022Interactive: Proving Congruency Using CPCTC

Similar Triangles Answers

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3

Analyze the diagram below and answer the question that follows.Are the triangles similar? If so, write the similarity statement and state which theorem or postulate is used to prove the two triangles similar.

Question illustration
A
Yes, by the SAS similarity theorem.
B
Yes, by the SSS similarity theorem.
C
Yes, by the AA similarity postulate.
D
No, these triangles are not similar.
4

Analyze the diagram below and answer the question that follows.Which theorem or postulate justifies that ?

Question illustration
A
AA similarity postulate
B
SAS similarity theorem
C
SSS similarity theorem
D
SSA similarity theorem
5

Analyze the diagram below and complete the instructions that follow.Joelle set up the following proportion to solve for x. Determine if her proportion is correct. If not, explain what is wrong with it.

Question illustration
A
Joelle’s proportion is correct.
B
Joelle’s proportion is not correct because BD, which is 4, corresponds proportionally to BA, which is 9, not 5.
C
Joelle’s proportion is not correct because DE, which is 6, does not correspond proportionally to AC, which is x.
D
Joelle’s proportion is not correct because DE, which is 6, corresponds proportionally to BA, which is x + 6, not x.

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