Question
In △ ABC, AM ≅ BM
BQ ≅ QC
Prove that MQ ∥ AC.
The correct answer is: Hence proved
SOLUTION:
HINT: Use the property of a midsegment in a triangle and find out.
Complete step by step solution:
Here AM=BM,
⇒ M is the midpoint of AB.
Also, BQ= QC,
⇒ Q is the midpoint of BC.
According to the definition of midsegment, A midsegment of a triangle is a segment
that connects the midpoints of two sides of a triangle. It will always be parallel to the
third side of the triangle.
Since M and Q are midpoints of AB and BC respectively, it forms a midsegment and
will be parallel to the third side of the triangle.
⇒ MQ ∥ AC
Hence proved.
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