Question

Drag each figure to show if it is similar to figure shown or why it is not similar

Answer 1

Answer: The similar figures are 1,4,6. The figure 2 and 5 have different shape. The figure 3 have different ratio of side lengths.

Explanation:

The given figure is a rectangle with length 6 yd and width 2 yd.

The figure 2 shows a triangle and figure 5 shows a parallelogram, therefore the figure 2 and 5 have different shape.

Two figure are called same if their corresponding sides have same proportion.

The figure 1 and 4 have two sides having length 2 yd and 6 yd, So, the figure 1 and 4 shows the similar figure.

The figure 6 have sides 4 and 12 which is  twice of side length of given figure, therefore the sides increased by same proportion 2.

$\frac{12}{6}= \frac{4}{2}=2$

Thus, the figure 1,4,6 shows the figure similar to given figure.

In figure 3 the length is 6 and width is 3. The length is same but the width is different.

$\frac{6}{6}\neq \frac{2}{3}$

Therefore the  figure 3 have different ratio of side lengths.