Which of the following are necessary when proving that the opposite angles of a parallelogram are congruent? A. Opposite sides are perpendicular B. Opposite sides are congruent C. Angle addition postulate D. Segment Addition postulate

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Answer:

The statements that are necessary when proving that the opposite angles of a parallelogram are congruent are:

B. Opposite sides are congruent - This has to be true as opposite sides should be similar.

C. Angle Addition Postulate.  It states that if a point lies on the interior of an angle, that angle is the sum of two smaller angles with legs that go through the given point.

The options that are necessary when proving that the opposite angles of a parallelogram are congruent are:

  • Opposite sides are congruent.
  • Angle addition postulate.

What is needed to prove that opposite angles of a parallelogram?

A parallelogram is known to be a quadrilateral tat is said to have two pairs of parallel sides.

Note that triangles ΔABD and ΔCDB are said to be congruent due to the fact that the angle-side-angle are congruent. parallelogram  is said to have opposite sides are congruent sue to the fact that they have opposite sides that are similar.

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