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.

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 angles?

Back

The angles of similar triangles are congruent.

Front

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

Back

The corresponding sides of similar triangles are in proportion.

Front

How can you determine if two triangles are not similar?

Back

If none of the similarity criteria (AA, SSS, SAS) are satisfied, the triangles are not similar.

Front

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

Back

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

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 sides?

Back

The ratio of their sides is 1:2.

Front

What is the height of a tree if the similar triangle formed by a shadow is 80 feet?

Back

The height of the tree is 80 feet.