32.7k views
1 vote
Which postulate or theorem proves that △CFE and △DFE are congruent?

​ HL Congruence Theorem ​

SSS Congruence Postulate

​ AAS Congruence Theorem ​

​ SAS Congruence Postulate ​

Which postulate or theorem proves that △CFE and △DFE are congruent? ​ HL Congruence-example-1

2 Answers

4 votes

Answer: SSS Congruence Postulate​

Step-by-step explanation: test answers were correct

User Totach
by
8.3k points
7 votes

The correct answer is:

SAS

Step-by-step explanation:

In the diagram, we have that CE and ED are congruent.

We also know that ∠FEC≅∠FED; this is because these two angles form a linear pair. A linear pair has a sum of 180°; since m∠FED = 90°, this means that m∠FEC = 180-90 = 90°, and the two angles are congruent.

We also know that FE = FE, due to the reflexive property.

This gives us two sides and the angle between them, or SAS.

User Aleksey Rembish
by
8.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories