Question

question 5 points 2 identify the symmetry. image of a pentagon-like shape line symmetry rotational symmetry no symmetry both (1) & (2)

Explanation:

Step1: Analyze Line Symmetry

A figure has line symmetry if a line can divide it into two mirror - image halves. For the given pentagon - like (a house - shaped) figure, we can draw a vertical line through the top vertex and the mid - point of the bottom side. When we do this, the left and right halves of the figure are mirror images of each other. So, it has line symmetry.

Step2: Analyze Rotational Symmetry

A figure has rotational symmetry if it can be rotated by an angle (less than \(360^{\circ}\)) about a center and coincide with its original position. For this figure, if we rotate it by any angle other than \(360^{\circ}\), it will not coincide with its original position. So, it does not have rotational symmetry.

Step3: Evaluate Options

Since the figure has line symmetry but not rotational symmetry, the correct option is the one with line symmetry.

Answer:

A. line symmetry