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I’m really confused about these can anyone help me with this?

I’m really confused about these can anyone help me with this?-example-1

1 Answer

3 votes

Answer:

Statement ∠BCA≅∠DAC

Reason; SSS congruence

Explanation:

Remember each pair of opposite sides of a parallelogram is congruent

Opposite sides are congruent

AD=BC, AB=DC

Using corresponding parts of congruent triangles

∠ACD≅∠CAB and

∠ADC≅∠CBA

Let AC be a transversal for AB and CA then ;

∠ACB ≅∠CAD and ∠ACD≅∠CAB are alternate angles

From the theorem; two lines in a plane are parallel if and only if a pair of altenate interior angles formed by the transversal is congruent as proven above.

User Mark Tozzi
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