Similar triangles and Parts

Front

What is the scale factor in similar triangles?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar triangles.

Front

If triangle PQR is similar to triangle DEF and the scale factor is 1.5, what does this imply about the side lengths?

Back

The side lengths of triangle DEF are 1.5 times longer than the corresponding side lengths of triangle PQR.

Front

What is a midsegment in a triangle?

Back

A midsegment is a line segment that connects the midpoints of two sides of a triangle.

Front

If QR is a midsegment of triangle WUV and its length is 8, what is the length of side WU?

Back

The length of side WU is 16, as the midsegment is half the length of the side it is parallel to.

Front

What does the AA~ theorem state?

Back

The AA~ (Angle-Angle Similarity) theorem states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the SSS~ theorem?

Back

The SSS~ (Side-Side-Side Similarity) theorem states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the SAS~ theorem?

Back

The SAS~ (Side-Angle-Side Similarity) theorem states that 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 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

If triangle ABC is similar to triangle DEF and the lengths of sides are in the ratio 2:3, what is the scale factor from triangle ABC to triangle DEF?

Back

The scale factor from triangle ABC to triangle DEF is 3/2.

Front

What is the relationship between 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 side lengths.