Similarity and Proportions

Front

What is the definition of Similar Polygons?

Back

Similar polygons are 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 AA stand for in triangle similarity?

Back

AA stands for Angle-Angle. If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Tags

CCSS.HSG.SRT.A.2

Front

What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side. If two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side. If the corresponding sides of two triangles are proportional, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

How do you find the missing side length in similar triangles?

Back

To find the missing side length in similar triangles, set up a proportion using the lengths of the corresponding sides of the triangles.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle ABC is similar to triangle DEF, and AB = 4, DE = 8, what is the ratio of their sides?

Back

The ratio of their sides is 1:2.

Tags

CCSS.HSG.SRT.A.2

Front

If two polygons are similar, how do you find the scale factor?

Back

The scale factor can be found by dividing the length of a side of one polygon by the length of the corresponding side of the other polygon.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the scale factor if the sides of two similar triangles are 5 cm and 15 cm?

Back

The scale factor is 1:3.

Tags

CCSS.7.G.A.1

Front

If the area of a triangle is 20 cm² and the scale factor to a similar triangle is 2, what is the area of the similar triangle?

Back

The area of the similar triangle is 80 cm².

Tags

CCSS.7.G.A.1

Front

What is the relationship between the perimeters of similar polygons?

Back

The ratio of the perimeters of similar polygons is equal to the ratio of their corresponding side lengths.