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 their corresponding sides are proportional.

Front

What does it mean for sides in similar figures to be proportional?

Back

It means that the ratios of the lengths of corresponding sides of the similar figures are equal.

Front

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

Back

All corresponding angles 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

How do you find a missing side in similar polygons?

Back

Set up a proportion using the lengths of the corresponding sides and solve for the missing length.

Front

If 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

True or False: The perimeters of similar polygons are proportional to the lengths of their corresponding sides.

Back

True.

Front

What is the relationship between the corresponding sides of two similar rectangles with lengths 4 cm and 8 cm?

Back

The ratio of their corresponding sides is 1:2.

Front

If two similar polygons have a scale factor of 1:4, how does this affect their areas?

Back

The area of the larger polygon is 16 times greater than the area of the smaller polygon.

Front

What is the first step in solving for a missing side in similar polygons?

Back

Identify the corresponding sides and set up a proportion.