Similar Polygons

Front

What are similar polygons?

Back

Polygons that have the same shape but not necessarily the same size. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

Front

When figures are similar, their corresponding angles are __________.

Back

congruent

Front

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

Back

The lengths of their corresponding sides are proportional.

Front

What is the scale factor in similar polygons?

Back

The ratio of the lengths of corresponding sides of two similar polygons.

Front

If the scale factor of two similar polygons is 2:1, what does this mean?

Back

It means that for every 2 units in one polygon, there is 1 unit in the other polygon.

Front

Solve for x: If two similar triangles have sides of lengths 4 cm and 6 cm, what is the value of x if the corresponding side in the second triangle is x cm?

Back

x = 6 cm (using the scale factor of 3:2).

Front

What is the relationship between the areas of two similar polygons?

Back

The ratio of their areas is the square of the ratio of their corresponding sides.

Front

If the area of one similar polygon is 36 square units and the area of the other is 144 square units, what is the scale factor?

Back

The scale factor is 2:1.

Front

Solve for x: The two similar figures have corresponding sides of 5 cm and x cm, and the scale factor is 1:3. What is x?

Back

x = 15 cm.

Front

What does it mean for angles to be congruent in similar polygons?

Back

It means that the angles have the same measure.