Question

Drag and drop a statement or reason to each box to complete the proof.

Answer 1

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Answer 2

Answer:

1. EF≅HG

2. EF║HG

3. Definition of parallelogram

4. when two parallel lines are cut by a transversal, alternate interior angles are congruent

5. EK≅GK

   FK≅HK

Step-by-step explanation:

1. As per the properties of a parallelogram, the opposite sides are congruent.

hence in given parallelogram EFGH the two sides EF≅HG

2. As per the properties of a parallelogram, the opposite sides are parallel.

hence in given parallelogram EFGH the two sides EF║HG

3.  Definition of parallelogram: A quadrilateral is called a parallelogram if two of its opposite sides are parallel.

4. As per the properties of transversal lines, when two parallel lines are cut by a transversal, alternate interior angles are congruent.

5. As proven in given question ΔEKF≅ΔGKH, so as per the CPCTC

                      EK≅GK and FK≅HK

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