Question

In Figure 8, AB || DC and AB = DC. Prove that ∆ ACD ~= ∆ CAB. ii Which angle is equal to CAD? iii Does it follow from ii that AD || BC ?​

Answer 1

ii. Angle CAD = Angle CAB

iii. Yes, AD || BC as Angle CAD = Angle CAB

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Answer 2

Answer:

I. DC = AB

ANGLE A = ANGLE C

AD= BC

THEREFORE, BY SAS CRITERION WE CAN PROVE THAT TRIANGLE ACD IS CONGRUENT TO ANGLE CAB.

SO, BY CPCT, TRIANGLE ACD IS CONGRUENT TO ANGLE CAB.

ii. ANGLE CAB

iii. YES