Question

Rowena is proving that AD ≅ EB. Which statement does the ♣ represent in her proof?

Answer 1

It is the first answer.

Answer 2

Answer:

Step-by-step explanation:

From the figure, it is given that AB≅ED, BC≅CD and ∠CAD≅∠CEB.

Now, from ΔACD and ΔECB, we have

Statements                                                      Reason

1. AB≅ED, BC≅CD                                           Given

2. ∠CAD≅∠CEB.                                              Given

3. AB=ED, BC=DC                     Definition of congruent segments

4. AB+BC=AC and                                Segment addition postulate

ED+DC=CE                          

5. ED+DC=AC and                                 Substitution property

ED+DC=CE

6. AC=CE                                                Substitution property

7. AC≅CE                                  Definition of congruent segments

8. ∠C≅∠C                                               Reflexive property

9. ΔACD≅ΔECB                           ASA rule of congruency

Hence proved.

Hence, option A is correct.