Similar Triangles

Front

In similar polygons, corresponding sides are ___ and corresponding angles are ___.

Back

proportional, congruent

Front

Are the triangles similar? (Yes/No)

Back

Yes

Front

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar: Triangle A has sides 3, 4, 5 and Triangle B has sides 6, 8, 10.

Back

SSS

Front

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar: Triangle A has angles 30°, 60°, 90° and Triangle B has angles 30°, 60°, 90°.

Back

AA

Front

Are the triangles similar? (Yes/No)

Back

No

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but not necessarily the same size; their corresponding angles are equal and their corresponding sides are proportional.

Front

What does AA similarity criterion state?

Back

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

Front

What does SSS similarity criterion state?

Back

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

Front

What does SAS similarity criterion state?

Back

If two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

If triangle A has sides 5, 12, 13 and triangle B has sides 10, 24, 26, are they similar?

Back

Yes, they are similar by SSS.