p. 4 Similar Figures Practice 2024

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 ratios of their corresponding sides are proportional.

Front

How do you determine if two figures are similar?

Back

Two figures are similar if: 1) All pairs of corresponding angles are congruent, and 2) The ratios of the lengths of corresponding sides are equal.

Front

What is the relationship between the sides of similar triangles?

Back

In similar triangles, the lengths of corresponding sides are in proportion. If triangle A is similar to triangle B, then the ratio of side A1 to side B1 is equal to the ratio of side A2 to side B2.

Front

If two triangles are similar, what can you say about their angles?

Back

If two triangles are similar, then all corresponding angles 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. It indicates how much one figure has been enlarged or reduced compared to the other.

Front

If a triangle has sides of lengths 3 cm, 4 cm, and 5 cm, and is similar to another triangle with a side of length 6 cm, what is the length of the corresponding side?

Back

The corresponding side is 8 cm, as the scale factor is 2 (6 cm / 3 cm).

Front

What is the formula for finding the height of an object using similar triangles?

Back

Height = (Length of shadow of object / Length of shadow of reference) * Height of reference object.

Front

If Lance the alien is 5 feet tall and his shadow is 8 feet long, what is the height of a tree with a shadow of 32 feet?

Back

The height of the tree is 20 feet.

Front

What does it mean for angles to be congruent?

Back

Congruent angles are angles that have the same measure.

Front

What is the significance of corresponding angles in similar figures?

Back

Corresponding angles in similar figures are equal, which is a key criterion for determining similarity.