Proving Triangles Similar

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but may have different sizes. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What does the AA similarity postulate state?

Back

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

Front

What does the SSS similarity theorem state?

Back

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

Front

What does the SAS similarity theorem 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

How can you determine the height of an object using similar triangles?

Back

By setting up a proportion between the heights and the lengths of the shadows of the objects.

Front

If a triangle has angles measuring 30°, 60°, and 90°, what type of triangle is it?

Back

It is a right triangle.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding sides?

Back

The lengths of the corresponding sides are in proportion.

Front

What is the formula for finding the height of a tree using similar triangles?

Back

Height of tree / Length of tree's shadow = Height of object / Length of object's shadow.

Front

What is the significance of the shadow length in similar triangles problems?

Back

The length of the shadow can be used to set up proportions to find unknown heights.