Question

1. two of the figures in the diagram are similar. use lines and the center of dilation to identify the similar shapes.

2.

Explanation:

Step1: Understand the concept of dilation

Dilation is a transformation that enlarges or reduces a figure by a scale factor with respect to a center point. Similar figures related by dilation have corresponding points connected by lines passing through the center of dilation.

Step2: Analyze the figure

Looking at the diagram, we can draw lines from the center of dilation \(X\) to corresponding vertices of the shapes. We observe that the two parallelograms (the smaller shaded one and the larger un - shaded one) have their corresponding vertices (such as \(A\) and \(B\), \(B\) and \(C\) etc. when considering the direction of dilation) connected by lines passing through the center \(X\).

Answer:

The two similar shapes are the smaller shaded parallelogram and the larger un - shaded parallelogram.