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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