Corresponding Elements, Similar Figures

Front

What are corresponding elements in similar figures?

Back

Corresponding elements in similar figures are parts (sides, angles, etc.) that are in the same relative position in each figure.

Front

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are congruent and the lengths of their corresponding sides are proportional.

Front

What does it mean for angles to be congruent?

Back

Congruent angles are angles that have the same measure.

Front

What is the relationship between corresponding sides of similar figures?

Back

The lengths of corresponding sides of similar figures are proportional.

Front

If trapezoid ABCD is similar to trapezoid EFGH, what can be said about angle A and angle E?

Back

Angle A is congruent to angle E.

Front

What notation is used to indicate that two segments are corresponding?

Back

The notation \\overline{AB} \\leftrightarrow \\overline{XY} indicates that segment AB corresponds to segment XY.

Front

How can you find the length of a corresponding side in similar figures?

Back

To find the length of a corresponding side, use the ratio of the lengths of the corresponding sides and set up a proportion.

Front

What is the significance of similar figures in geometry?

Back

Similar figures maintain the same shape but may differ in size, allowing for the comparison of angles and side lengths.

Front

What is the formula for the ratio of the areas of two similar figures?

Back

The ratio of the areas of two similar figures is the square of the ratio of their corresponding side lengths.

Front

How do you identify corresponding points in similar figures?

Back

Corresponding points in similar figures can be identified by their positions relative to the angles and sides of the figures.