Midpoints of the Sides of a Paralellogram

Curated and Reviewed by Lesson Planet

This Midpoints of the Sides of a Paralellogram activity also includes:

Activity
Answer Key
Graphic & Image
Join to access all included materials

This task asks learners to prove that the segment joining the midpoints of two sides of a parallelogram is both congruent and parallel to an adjacent side of the parallelogram. The activity would be good to use in a discussion about how drawing an auxiliary line in the given diagram is sometimes necessary when doing proofs. The exercise would also make a good assessment item. Teachers should note that the provided solution uses symbols for congruent segments and equal measures of segments interchangeably. This reviewer suggests that those be corrected if you intend to distribute a copy to students.