Question

Explain how you can prove your observations in Questions 3 and 5 using a traditional proof. You don’t need to develop the steps of the proof; simply describe an approach that you might use. Which theorems might appear in your proof?(Hint: Draw a diagonal on the parallelogram to assist you in describing an approach.)

Answer 1

Explanation:

A diagonal divides the parallelogram into two triangles. If I can prove that the two triangles are congruent, then the corresponding angles and corresponding sides of those two triangles must be congruent. To prove triangle congruency, I can use the properties of the angles formed when parallel lines are cut by a transversal.

Answer 2

A diagonal divides the parallelogram into two triangles. If I can prove that the two triangles are congruent, then the corresponding angles and corresponding sides of those two triangles must be congruent. To prove triangle congruency, I can use the properties of the angles formed when parallel lines are cut by a transversal.

Explanation:

PLATO Geometry answer