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IM Geo.2.13 Practice: Proofs about Parallelograms

Conjecture:

A quadrilateral with one pair of sides both congruent and parallel is a parallelogram.
  • Draw a diagram of the situation. 
  • Mark the given information. 

Restate the conjecture as a specific statement using the diagram.

Here is a quadrilateral ABCD.

 is congruent to , and  is parallel to . Show that  is a parallelogram.

ABDE is an isosceles trapezoid.

Name one pair of congruent triangles that could be used to show that the diagonals of an isosceles trapezoid are congruent.

Select the conjecture with the rephrased statement of proof to show the diagonals of a parallelogram bisect each other.

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Here is a diagram:

Is triangle  congruent to triangle ? Explain your reasoning.

Select all true statements based on the diagram.

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Which conjecture is possible to prove?

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