Question

Leah claims that these figures are not similar. When she compared the heights, she wrote 27. Then she compared the bases and got 216. Why is Leah having trouble?

Answer 1

Leah is actually wrong, because those rectangles are similar.

Explanation:

Remember that similarity is about having proportional sides and congruent angles. When we have congruent sides, then those rectangles are congruent not similar.

In this case, to find the similarity, Leah should compare bases and heights thorugh division, because the ratio between heights and the ratio between bases must be equal. So, let's divide.

`(21)/(6)=3.5`

`(7)/(2)=3.5`

As you can observe, both ratios are equal.

Therefore, those rectangles are congruent.