#8.1 Similar Polygons

Front

What are similar polygons?

Back

Polygons that have the same shape but may have different sizes. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What does it mean for two polygons to be similar?

Back

It means that the polygons have the same shape, with corresponding angles equal and corresponding sides in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If two polygons are similar, how do you find the length of a side in one polygon if you know the corresponding side in the other?

Back

Use the ratio of the lengths of corresponding sides to set up a proportion and solve for the unknown length.

Front

What is the scale factor in similar polygons?

Back

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If the scale factor of two similar polygons is 2:3, what does this mean?

Back

For every 2 units of length in the first polygon, there are 3 units of length in the second polygon.

Tags

CCSS.7.G.A.1

Front

How do you determine if two polygons are similar?

Back

Check if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If polygon A has sides of lengths 4, 6, and 8, and polygon B has sides of lengths 6, 9, and 12, are they similar?

Back

Yes, because the ratios of the corresponding sides (4:6, 6:9, 8:12) are all equal (2:3).

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

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

Back

The ratio of their areas is equal to the square of the ratio of their corresponding side lengths.

Front

If the side lengths of two similar polygons are in the ratio 1:4, what is the ratio of their areas?

Back

The ratio of their areas is 1:16, since (1^2):(4^2) = 1:16.

Front

How can you find the unknown side length in similar polygons?

Back

Set up a proportion using the known side lengths and solve for the unknown length.

Tags

CCSS.HSG.SRT.A.2