p. 2 Similar Figures Practice 2024

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size. Their corresponding angles are equal, and their corresponding side lengths are in proportion.

Front

What is the relationship between congruent figures?

Back

Congruent figures have the same size and the same shape. This means all corresponding sides and angles are equal.

Front

If two triangles are similar, how do you find the length of a missing side?

Back

To find a missing side length in similar triangles, set up a proportion using the lengths of the corresponding sides.

Front

What is the corresponding side to AB in a similar triangle with sides AC and DE?

Back

The corresponding side to AB would be DE.

Front

How do you determine corresponding angles in similar figures?

Back

Corresponding angles in similar figures are the angles that are in the same relative position in each figure.

Front

If triangle ABC is similar to triangle DEF, and angle A = 30°, what is the measure of angle D?

Back

Angle D is also 30° because corresponding angles in similar triangles are equal.

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of two corresponding sides of similar figures.

Front

If the scale factor of two similar figures is 2:3, and one side of the smaller figure is 6 cm, what is the corresponding side in the larger figure?

Back

The corresponding side in the larger figure is 9 cm.

Front

What is the formula for finding the area of similar figures?

Back

The area of similar figures is proportional to the square of the scale factor. If the scale factor is a:b, then the area ratio is a²:b².

Front

If two similar rectangles have a scale factor of 1:4, how do their areas compare?

Back

The area of the larger rectangle is 16 times the area of the smaller rectangle because (1²):(4²) = 1:16.