Similar Triangles

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but may differ in size; their corresponding angles are equal and their corresponding sides are proportional.

Front

What does AA similarity criterion stand for?

Back

Angle-Angle similarity criterion states that 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 stand for?

Back

Side-Side-Side similarity criterion states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What does SAS similarity criterion stand for?

Back

Side-Angle-Side similarity criterion states that 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 two triangles are similar, what can be said about their corresponding angles?

Back

Their corresponding angles are congruent.

Front

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

Back

Their corresponding sides are in proportion.

Front

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

Back

AA

Front

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar: Triangle A has sides 3, 4, 5; Triangle B has sides 6, 8, 10. What is the similarity criterion?

Back

SSS

Front

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar: Triangle A has sides 2, 3, 4; Triangle B has sides 4, 5, 6. What is the similarity criterion?

Back

Not similar.

Front

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

Back

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