Question

State whether the following rectangles are similar or not. Justify your answer.

Answer 1

Given: Two rectangles: left 4 cm by 2.6 cm, right 6 cm by 3.9 cm.

Step-wise calculation:

1. Ratio of corresponding widths = `4/6 = 2/3`.

2. Ratio of corresponding heights = `2.6/3.9 = 26/39 = 2/3`.

3. Both corresponding side-ratios are equal (2 : 3) and rectangles have equal corresponding angles (90°). Two rectangles are similar when their corresponding sides are proportional.

The two rectangles are similar (scale factor = 2 : 3).