Rectangle Similarity: Compare ABCD (7x3) with EFGH (10x6)

Question

Is rectangle ABCD similar to rectangle EFGH?

00:00 Are the rectangles similar?

00:03 Let's check the ratio of the sides

00:07 If the similarity ratio is equal, then the rectangles are similar

00:15 Let's substitute appropriate values and solve to find the ratio

00:28 The ratios are not equal, therefore the rectangles are not similar

00:33 And this is the solution to the question

We first need to verify the ratio of similarity.

We examine if:

$\frac{AB}{EF}=\frac{AC}{EG}$

To do this, we substitute our values in:

$\frac{7}{10}=\frac{3}{6}$

$\frac{7}{10}\ne\frac{1}{2}$

The ratio is not equal, therefore the rectangles are not similar.