Similar Triangles Missing Side

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size. 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 two triangles are similar, what can be said about their corresponding sides?

Back

The corresponding sides of similar triangles are proportional.

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

What is the ratio of the sides of two similar triangles if one triangle has sides of length 3, 4, and 5 and the other has sides of length 6, 8, and 10?

Back

The ratio of the sides is 1:2.

Front

If triangle A is similar to triangle B, and the length of a side in triangle A is 5 and the corresponding side in triangle B is 10, what is the scale factor?

Back

The scale factor is 2.

Tags

CCSS.7.G.A.1

Front

What does it mean for two ratios to be proportional?

Back

Two ratios are proportional if they are equal when expressed as fractions.

Tags

CCSS.7.RP.A.2D

Front

If the sides of triangle C are 9, 12, and 15, and triangle D is similar to triangle C with a side of length 6, what is the length of the corresponding side in triangle D?

Back

The corresponding side in triangle D is 4.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle E has sides of length 8, 15, and 17, and triangle F is similar to triangle E with a side of length 12, what is the length of the corresponding side in triangle F?

Back

The corresponding side in triangle F is 15.

Tags

CCSS.HSG.SRT.A.2

Front

What is the formula for finding the area of similar triangles?

Back

The area of similar triangles is proportional to the square of the ratio of their corresponding side lengths.