Question

theorem :— opposite side and opposite angles of a parallelogram are congruent..

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Answer 1

Answer:

THEOREM: If a quadrilateral is a parallelogram, it has 2 sets of opposite angles congruent. ... DEFINITION: A parallelogram is a quadrilateral with both pairs of opposite sides parallel. THEOREM: If a quadrilateral has 2 sets of opposite sides congruent, then it is a parallelogram.

Step-by-step explanation:

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Answer 2

Answer:

Theorem 8.4: In a parallelogram, opposite angles are equal Given: A parallelogram ABCD with AC as its diagonal To prove: ∠ A = ∠ C & ∠ B = ∠ D Proof: Opposite sides of parallelogram is parallel So, AB ∥ DC and AD‖∥ BC Adding (1) and (2) ∠BAC + ∠DAC = ∠DCA + ∠ BCA ∠BAD = ∠DCB Similarly, we can prove ∠ADC = ∠ABC Hence ... hole help full to you