Question

listed in the item bank are key terms and expressions, each of which is associated with one of the columns. some terms may display additional information when you click on them. drag and drop each item into the correct column. order does not matter

similar figures have the same shape
if the side length of similar figures have a ratio of \\( \frac { m } { n } \\) then the perimeter will have a ratio of \\( \frac { 2 m } { n } \\)
similar figures have the same size
ratio of lengths of corresponding sides of similar figures are equal
corresponding angles of similar figures are congruent

Explanation:

Step1: Analyze the first statement

Similar figures have the same shape. By definition, similar figures have the same shape (but not necessarily the same size). So this is True.

Step2: Analyze the second statement

If the side - length of similar figures have a ratio of \(\frac{m}{n}\), then the perimeter will have a ratio of \(\frac{2m}{n}\). The ratio of perimeters of similar figures is equal to the ratio of their corresponding side lengths. If the side - length ratio is \(\frac{m}{n}\), the perimeter ratio is \(\frac{m}{n}\), not \(\frac{2m}{n}\). So this is False.

Step3: Analyze the third statement

Similar figures have the same size. Similar figures can have different sizes (they are in proportion). Congruent figures have the same size. So this is False.

Step4: Analyze the fourth statement

Ratio of lengths of corresponding sides of similar figures are equal. This is a fundamental property of similar figures. So this is True.

Step5: Analyze the fifth statement

Corresponding angles of similar figures are congruent. This is a fundamental property of similar figures. So this is True.

Answer:

• True: Similar figures have the same shape, ratio of lengths of corresponding sides of similar figures are equal, Corresponding angles of similar figures are congruent
• False: If the side length of similar figures have a ratio of \(\frac{m}{n}\) then the perimeter will have a ratio of \(\frac{2m}{n}\), Similar figures have the same size