Test Similar Triangles and Trigonometry

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

If triangle SQR is similar to triangle SPT, which segment corresponds to segment QR?

Back

Segment PT.

Front

What is the relationship between corresponding sides of similar polygons?

Back

Corresponding sides are proportional.

Front

What is the relationship between corresponding angles of similar polygons?

Back

Corresponding angles are congruent.

Front

How do you estimate the height of an object using similar triangles?

Back

By creating a proportion based on the lengths of corresponding sides.

Front

If AB / BM = ? / CD, what is the missing term if the triangles are similar?

Back

AC.

Front

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

Back

Height = (Length of string) * (Height of kite above ground) / (Distance from tree).

Front

In similar triangles, if one triangle has sides of lengths 6, 8, and 10, what are the corresponding sides of a triangle that is similar with a longest side of 15?

Back

9, 12, and 15.

Front

What is the scale factor in similar triangles?

Back

The ratio of the lengths of corresponding sides.

Front

If two triangles are similar and the lengths of one triangle's sides are doubled, what happens to the area?

Back

The area increases by a factor of four.