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Consider the trapezium ABCD represented in the image. In the figure, the non-parallel sides have been extended to their meeting point E. Let M and N be the midpoints of the segments AE and DE respectively and let P and Q be the midpoints of the diagonals AC and BD respectively. Show that the quadrilateral MSPQ is a trapezoid. Hint: Show that the MN and QP segments are both parallel to the AD segment.

Consider the trapezium ABCD represented in the image. In the figure, the non-parallel sides have been extended to their meeting point E. Let M and N be the midpoints of the segments AE and DE respectively and let P and Q be the midpoints of the diagonals AC and BD respectively. Show that the quadrilateral MSPQ is a trapezoid. Hint: Show that the MN and QP segments are both parallel to the AD segment.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter6: Ratio, Proportion, And Probability
Section6.1: Ratios And Rates
Problem 29E
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Consider the trapezium ABCD represented in the image. In the figure, the non-parallel sides have been extended to their meeting point E. Let M and N be the midpoints of the segments AE and DE respectively and let P and Q be the midpoints of the diagonals AC and BD respectively.

Show that the quadrilateral MSPQ is a trapezoid.
Hint: Show that the MN and QP segments are both parallel to the AD segment.

B M P N
Transcribed Image Text:B M P N
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