GEO 8.1 - Similar Polygons

Front

What are similar polygons?

Back

Polygons 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

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

Back

The corresponding angles of similar polygons are equal.

Front

If the sides of two similar triangles are in the ratio 2:3, what is the ratio of their areas?

Back

The ratio of their areas is 4:9 (the square of the ratio of the sides).

Front

What is the relationship between the lengths of corresponding sides of similar polygons?

Back

The lengths of corresponding sides of similar polygons are proportional.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 6 cm, what is the ratio of AB to DE?

Back

The ratio of AB to DE is 4:6 or 2:3.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size.

Front

How do you find the missing side of a similar polygon?

Back

Use the proportionality of corresponding sides to set up a ratio and solve for the missing side.

Front

If the length of one side of a triangle is 5 cm and the corresponding side of a similar triangle is 15 cm, what is the scale factor?

Back

The scale factor is 3 (15 cm / 5 cm).

Front

What is the scale factor of two similar polygons if the lengths of their corresponding sides are 4 cm and 10 cm?

Back

The scale factor is 2.5 (10 cm / 4 cm).

Front

If two similar polygons have a scale factor of 1:4, what is the ratio of their perimeters?

Back

The ratio of their perimeters is also 1:4.