Question

3 practice 3 which pair of polygons is similar? a b c d how did i do?

Explanation:

Step1: Recall the definition of similar polygons

Similar polygons have corresponding angles equal and corresponding sides in proportion.

Step2: Analyze Option A

For the right - angled triangle with sides \(5\), \(12\), \(13\) and the right - angled triangle with sides \(3\), \(4\), \(5\). The ratios of sides: \(\frac{3}{5}
eq\frac{4}{12}
eq\frac{5}{13}\), so they are not similar.

Step3: Analyze Option B

The first figure is a square (all angles \(90^{\circ}\)) and the second figure is a rhombus (angles are not \(90^{\circ}\)). Since corresponding angles are not equal, they are not similar.

Step4: Analyze Option C

For the first rectangle with length \(5\) and width \(1\) (after considering the non - length sides), and the second rectangle with length \(10\) and width \(2\). The ratio of lengths \(\frac{5}{10}=\frac{1}{2}\), the ratio of widths \(\frac{1}{2}\). Also, all angles in rectangles are \(90^{\circ}\). Corresponding angles are equal and corresponding sides are in proportion.

Step5: Analyze Option D

For the isosceles triangle with sides \(10\), \(10\), \(6\) and the isosceles triangle with sides \(5\), \(5\), \(6\). The ratio of equal sides \(\frac{5}{10}=\frac{1}{2}\), but the ratio of the base sides \(\frac{6}{6} = 1\). Since \(\frac{1}{2}
eq1\), they are not similar.

Answer:

C.