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?

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

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 Side-Angle-Side (SAS) similarity criterion?

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 triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the ratio of their corresponding sides?

Back

The ratio is 1:2.

Tags

CCSS.HSG.SRT.A.2

Front

If two triangles are similar, how do you find the length of a missing side?

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

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

Front

If triangle XYZ is similar to triangle PQR, and the area of triangle XYZ is 36 cm², what is the area of triangle PQR if the ratio of their sides is 2:1?

Back

The area of triangle PQR is 9 cm².

Front

What is a scale factor in similar triangles?

Back

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If the scale factor of two similar triangles is 3:5, what does this imply about their corresponding sides?

Back

For every 3 units of length in the first triangle, there are 5 units of length in the second triangle.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6