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3 years ago

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

Mathematics

2 answers:

abruzzese [7]3 years ago

5 0

It is the first answer.

KonstantinChe [14]3 years ago

5 0

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.

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