Similar Figures (VA SOL 7.5)

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures. It indicates how much one figure has been enlarged or reduced compared to the other.

Front

If two rectangles are similar, how do you find the missing dimension?

Back

To find a missing dimension in similar rectangles, set up a proportion using the lengths of the corresponding sides and solve for the unknown.

Front

What is the relationship between corresponding angles in similar triangles?

Back

In similar triangles, corresponding angles are equal.

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if they satisfy one of the following criteria: AA (Angle-Angle), SSS (Side-Side-Side), or SAS (Side-Angle-Side) similarity.

Front

What is the ratio of the corresponding sides of triangle ABC to triangle DEF if the sides are 4 cm, 8 cm, and 6 cm?

Back

The ratio is 1:2, as each side of triangle ABC is half the length of the corresponding side of triangle DEF.

Front

If the length of a larger rectangle is 12 feet and the width is 7.5 feet, what is the scale factor if the smaller rectangle has a length of 6 feet?

Back

The scale factor is 0.5, as the smaller rectangle's length is half of the larger rectangle's length.

Front

What does it mean for two figures to be congruent?

Back

Congruent figures are shapes that are identical in shape and size. All corresponding sides and angles are equal.

Front

How can you use proportions to solve for unknown dimensions in similar figures?

Back

Set up a proportion comparing the lengths of corresponding sides, then cross-multiply and solve for the unknown.

Front

What is the significance of the AA criterion for triangle similarity?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.