Question

complete the sketch of each figure so that it has line symmetry about line m.
(a)
(b)
(c) which figure has line symmetry about m?

Explanation:

Step1: Recall line - symmetry concept

A figure has line - symmetry about a line \(m\) if the part of the figure on one side of \(m\) is the mirror - image of the part on the other side.

Step2: Analyze option A

For a trapezoid in option A, if we fold the figure along the line \(m\), the two halves will match exactly. The non - parallel sides are of equal length and the parallel sides are equidistant from the line \(m\).

Step3: Analyze option B

In option B, the trapezoid is not symmetric about the line \(m\) because the non - parallel sides are not mirror images of each other with respect to the line \(m\).

Step4: Analyze option C

In option C, a parallelogram does not have line symmetry about a vertical line \(m\) (in general) since the angles and side - lengths do not match up when reflected across a vertical line.

Answer:

A.