If M is the midpoint of a line segment AB, then we can say that AM and MB are congruent. State whether the statement is true or false.

Solution:

Given, if M is the midpoint of a line segment AB, then we can say that AM and MB are congruent.

We have to determine if the given statement is true or false.

A midpoint is a point lying between two points and is in the middle of the line joining the two points.

For the two points, if a line is drawn joining the two points, then the midpoint is a point at the middle of the line and is equidistant from the two points.

Since M is the midpoint of AB, then the line segments AM and MB are equal.

Congruent lines in geometry refer to the segments which are identical in their measure.

Therefore, the line segments AM and BM are congruent.

✦ Try This: If C is the midpoint of a line segment XY, then we can say that XC and CY are congruent. State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6

NCERT Exemplar Class 7 Maths Chapter 6 Problem 77

If M is the midpoint of a line segment AB, then we can say that AM and MB are congruent. State whether the statement is true or false.

Summary:

The given statement,”If M is the midpoint of a line segment AB, then we can say that AM and MB are congruent” is true.

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