Solving and Proving Similar Triangles

Front

What does AA~ stand for in triangle similarity?

Back

AA~ stands for Angle-Angle similarity, which states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What does SSS~ stand for in triangle similarity?

Back

SSS~ stands for Side-Side-Side similarity, which states that if the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

What does SAS~ stand for in triangle similarity?

Back

SAS~ stands for Side-Angle-Side similarity, which states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

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

Back

The corresponding angles of similar triangles are congruent.

Front

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

Back

The corresponding sides of similar triangles are proportional.

Front

Lance the alien is 5 feet tall and his shadow is 8 feet long. If a tree's shadow is 32 feet long, how tall is the tree?

Back

The height of the tree is 20 feet.

Front

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

Back

Corresponding sides are proportional and corresponding angles are congruent.

Front

What is the formula to find the height of an object using similar triangles?

Back

Height = (Length of shadow of object / Length of shadow of reference) * Height of reference.

Front

If triangle ABC is similar to triangle DEF, and AB = 6, AC = 9, and DE = 12, what is the length of DF?

Back

DF = 18 (using the proportion of sides in similar triangles).

Front

What is the relationship between the ratios of 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.