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4 years ago

9

Given:

2 answers:

enyata [817]4 years ago

7 0

Answer:

Step-by-step explanation:

Given: ABCD is a parallelogram.

To prove: ∠A=∠C

Solution:

It is given that ABCd is a parallelogram, then

From ΔABD and ΔCDB, we have

AB=CD(Opposite sides of parallelogram are equal)

AD=CB (Opposite sides of parallelogram are equal)

BD=BD (Common)

Thus, by SSS rule of congruency,

ΔABD≅ΔCDB

Therefore, by CPCTC, we have

∠A=∠C

Hence proved.

Mademuasel [1]4 years ago

4 0

ABD congruent to CDB

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