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3 years ago

Jennifer says the quadrilaterals below must be congruent because their angles are congruent. Is she correct?

Mathematics

1 answer:

velikii [3]3 years ago

6 0

I've attached the complete question withe the 2 quadrilaterals.

Answer:

Jennifer is not correct because equal angles alone is not a proof of congruency.

Step-by-step explanation:

Now, in test for congruence, we use any of the following criteria;

SSS: Side - Side - Side

SAS: Side - Angle - Side

ASA: Angle - Side - Angle

AAS: Angle - Angle - Side

RHS: Right angle - Hypotenuse - Side

The assumption in the question is that all the angles are equal to determine that the quadrilaterals are congruent.

However, we don't use AAA(Angle - Angle - Angle theorem) as a congruence proof because it's very possible to have all the internal angles equal and yet all the corresponding sides don't have the same length.

Thus, Jeniffer is not correct.

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