Angela122
12.03.2021 •
Mathematics
In the diagram given, AB is parallel to DC. If M is the midpoint of AC, must it also be the midpoint of BD? Why?
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Ответ:
See explanation
Step-by-step explanation:
Since m∠B = m∠D because alternate interiors angles are congruent when the lines are parallel
and m∠BMA = m∠CMC because vertical angles are congruent
and it AM = MC because it is given that M is the midpoint of AC, then
ΔBMA is congruent to ΔDMC.
Therefore, BM = DM because corresponding parts of congruent triangles are congruent.
Now, M is the midpoint of BD because BM = DM
Ответ:
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