Similar Triangles Practice

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 is the Side-Side-Side (SSS) similarity criterion?

Back

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

Front

What is the Side-Angle-Side (SAS) similarity criterion?

Back

If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.

Front

What is a midsegment in a triangle?

Back

A segment that connects the midpoints of two sides of a triangle. It is parallel to the third side and half its length.

Front

If triangle ABC is similar to triangle DEF, and the lengths of AB and DE are 4 cm and 8 cm respectively, what is the scale factor?

Back

The scale factor is 1:2.

Front

How do you find the length of a missing side in similar triangles?

Back

Set up a proportion using the lengths of the corresponding sides of the similar triangles and solve for the missing length.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If triangle WUV has sides 4 cm, 6 cm, and 8 cm, and triangle XYZ has sides 2 cm, 3 cm, and 4 cm, are the triangles similar?

Back

Yes, they are similar by SSS because the sides are in proportion (1:2).

Front

What is the formula for finding the length of a midsegment?

Back

Length of midsegment = 1/2 * length of the third side.

Front

If two triangles are similar, how do you find the ratio of their areas?

Back

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