7.5 Parts of Similar Triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the Side-Side-Side (SSS) similarity criterion?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Angle-Angle (AA) similarity criterion?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Tags

CCSS.HSG.SRT.A.2

Front

How do you find the missing side of similar triangles?

Back

Use the proportion of the corresponding sides to set up a ratio and solve for the missing side.

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

What is the formula for finding the height of a similar triangle?

Back

Height can be found using the ratio of the corresponding sides and the height of the known triangle.

Tags

CCSS.HSG.SRT.A.2

Front

If the height of triangle ABC is 10 ft and triangle DEF is similar, what is the height of DEF if AB = 4 and DE = 8?

Back

The height of triangle DEF is 20 ft.

Tags

CCSS.HSG.SRT.A.2

Front

What is the importance of corresponding angles in similar triangles?

Back

Corresponding angles being equal ensures that the triangles maintain their shape and proportions.

Tags

CCSS.HSG.SRT.A.2

Front

How do you solve for x in similar triangles?

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

If triangle GHI is similar to triangle JKL and GH = 5, JK = 10, what is the value of x if HI = x and KL = 20?

Back

x = 10.

Tags

CCSS.HSG.SRT.A.2