Question

similarity - item 35516
complete the statement below about the two figures.
the two figures are
because (\frac{6}{3})
(\frac{8}{4}).

Explanation:

Step1: Analyze the ratios

First, simplify the ratio \(\frac{6}{3}\). We know that \(6\div3 = 2\), so \(\frac{6}{3}=2\).

Step2: Analyze the other ratio

Next, simplify the ratio \(\frac{8}{4}\). We know that \(8\div4 = 2\), so \(\frac{8}{4}=2\).

Step3: Determine similarity

Since the ratios of corresponding sides of the two rectangles are equal (both equal to 2), the two figures are similar. The reason is that \(\frac{6}{3}\) is equal to \(\frac{8}{4}\) (both equal to 2).

Answer:

The two figures are \(\boldsymbol{\text{similar}}\) because \(\frac{6}{3}\) \(\boldsymbol{=}\) \(\frac{8}{4}\).