CFU Similar Figures

Front

What is the definition of similar figures?

Back

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

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In the context of similar figures, it is the ratio of the lengths of corresponding sides.

Front

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

Back

The corresponding angles of similar triangles are congruent.

Front

If the scale factor from triangle ABC to triangle DEF is 2, what does this mean?

Back

It means that each side of triangle DEF is twice the length of the corresponding side of triangle ABC.

Front

How do you determine if two figures are similar?

Back

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

Front

What is the relationship between the perimeters of similar figures?

Back

The ratio of the perimeters of similar figures is equal to the ratio of their corresponding side lengths.

Front

If the side lengths of two similar figures are in the ratio 3:4, what is the ratio of their areas?

Back

The ratio of their areas is the square of the ratio of their side lengths, so (3:4)² = 9:16.

Front

What does it mean for two shapes to have proportional side lengths?

Back

Proportional side lengths mean that the lengths of corresponding sides of the two shapes maintain a constant ratio.

Front

If triangle XYZ is similar to triangle ABC and the length of side XY is 6 and side AB is 9, what is the scale factor from triangle XYZ to triangle ABC?

Back

The scale factor is 9/6 or 3/2.

Front

What is the formula for finding the area of a triangle?

Back

The area of a triangle is given by the formula: Area = 1/2 * base * height.