Question

A rectangle has a length of 19 in and a height of 11 in. Another rectangle has a length of 95

in and a height of 6.5 in. Are the rectangles similar
A. Yes, they are similar because they are both rectangles.
B. Yes, they are similar because they have proportional sides and equal angle measures.
C. No, they are not similar because they do not have equal angle measures. D. No,they are not similar because their side lengths are not proportional.

Answer 1

Option D. No,they are not similar because their side lengths are not proportional.

Explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem If the rectangles are similar

then

The ratio of its corresponding lengths must be equal to the ratio of its corresponding heights

Verify

`(95)/(19)=(6.5)/(11)\\\\95*11=19*6.5\\\\1,045\\eq123.5`

therefore

The rectangles are not similar because their side lengths are not proportional.