If two shapes are similar, what can be said about their corresponding angles?

If two shapes are similar, what can be said about their corresponding angles?

• A. They are equal
• B. They add up to 90 degrees
• C. They are complementary
• D. They are different

Answer: (A)

When two shapes are similar, their corresponding angles are indeed equal. Similar shapes have the same shape but may differ in size; that is, one shape is a scaled version of the other. This proportional relationship extends to their angles, meaning that for every angle in one shape, there is a corresponding angle in the other shape that is identically measured. The equality of corresponding angles holds regardless of the scale or the specific dimensions of the figures. This is a fundamental property of similar polygons, and it can be applied to various types of shapes such as triangles, quadrilaterals, and other polygons as well. Therefore, one of the most important characteristics when assessing similarity of geometric figures is confirming that all corresponding angles are the same.

When two shapes are similar, their corresponding angles are indeed equal. Similar shapes have the same shape but may differ in size; that is, one shape is a scaled version of the other. This proportional relationship extends to their angles, meaning that for every angle in one shape, there is a corresponding angle in the other shape that is identically measured.

The equality of corresponding angles holds regardless of the scale or the specific dimensions of the figures. This is a fundamental property of similar polygons, and it can be applied to various types of shapes such as triangles, quadrilaterals, and other polygons as well. Therefore, one of the most important characteristics when assessing similarity of geometric figures is confirming that all corresponding angles are the same.