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 Angle-Angle (AA) similarity criterion for triangles?

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 length of a missing side in similar triangles?

Back

Use the proportion of the lengths of corresponding sides. If triangle A has sides a, b, c and triangle B has sides x, y, z, then a/x = b/y = c/z.

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Side-Angle-Side (SAS) similarity criterion for triangles?

Back

If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles are similar, what can be said about their areas?

Back

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

Front

What is the formula for the ratio of the sides of similar triangles?

Back

If triangle A and triangle B are similar, then the ratio of their corresponding sides is k, where k = a/x = b/y = c/z.

Tags

CCSS.HSG.SRT.A.2

Front

How can you determine if two triangles are similar using their side lengths?

Back

Calculate the ratios of the lengths of corresponding sides. If all ratios are equal, the triangles are similar.

Tags

CCSS.HSG.SRT.A.2

Front

What is a scale factor in the context of similar triangles?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar triangles.

Tags

CCSS.7.G.A.1

Front

How do you set up a proportion to solve for a missing side in similar triangles?

Back

Set up the equation a/x = b/y, where a and b are known sides of one triangle and x and y are the corresponding sides of the other triangle.

Tags

CCSS.HSG.SRT.A.2