Test Similar Triangles and Trigonometry

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are in proportion.

Front

If ΔPQR ~ ΔSQT, what can we conclude about the sides of the triangles?

Back

The ratios of the lengths of corresponding sides of ΔPQR and ΔSQT are equal.

Front

What is the formula for finding the length of a side in similar triangles?

Back

If ΔABC ~ ΔDEF, then (AB/DE) = (BC/EF) = (AC/DF).

Front

How do you find the value of x in similar triangles?

Back

Set up a proportion using the lengths of corresponding sides and solve for x.

Front

What is the relationship between the surface areas of similar prisms?

Back

The surface areas of similar prisms are in the ratio of the squares of their corresponding edge lengths.

Front

If the edge lengths of two similar prisms are in the ratio a/b, what is the ratio of their volumes?

Back

The volumes of the prisms are in the ratio a^3/b^3.

Front

What is the significance of the similarity statement ΔLMN ∼ ΔPQO?

Back

It indicates that triangles LMN and PQO are similar, meaning their corresponding angles are equal and sides are proportional.

Front

How can you determine if two triangles are similar using angle-angle (AA) similarity?

Back

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

Front

What is the definition of a proportion in the context of similar triangles?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you apply the concept of similar triangles to solve real-world problems?

Back

Use the properties of similar triangles to set up proportions that can help find unknown lengths or heights.