Question

A B = AD &
AC = AE
Prove that
1. - TRIANGLE ABC CONGRUENCE TO TRIANGLE ACD.
2. - TRIANGLE ACD CONGRUENCE TO TRIANGLE ADE​

Answer 1

Step-by-step explanation:

1. to prove that ABC is congruence to ACD

in ABC and ACD

AB=AD (given)

angle ABC=angle ADC (sides equal to each other have equal angles)

and, AC=AC (common line)

so, ABC is congruence to ACD by SAS rule

2. to prove that ACD is congruence to ADE

in ACD and ADE

AC=AE (given)

angle ACD=angle AED (sides equal to each other have equal angles)

and, AD=AD (common line)

so, ACD is congruence to ADE by SAS rule

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