Similar Triangles Practice

Front

What is the AA similarity criterion?

Back

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

Front

What does SAS similarity criterion stand for?

Back

SAS (Side-Angle-Side) similarity criterion 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

What is the SSS similarity criterion?

Back

SSS (Side-Side-Side) similarity criterion states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

If two triangles have one angle equal and the other two angles are not known, can we prove they are similar?

Back

Yes, if one angle is equal, we can use the AA similarity criterion to prove the triangles are similar.

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 and is parallel to the third side.

Front

If DE is a midsegment of triangle ABC, what is the relationship between DE and AC?

Back

DE is parallel to AC and its length is half the length of AC.

Front

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

Back

To find the length of a side in similar triangles, set up a proportion using the lengths of corresponding sides.

Front

If triangle A is similar to triangle B, and the length of a side in triangle A is 8 and the corresponding side in triangle B is 12, what is the scale factor?

Back

The scale factor is 12/8 or 3/2.

Front

What is the significance of corresponding angles in similar triangles?

Back

Corresponding angles in similar triangles are equal, which is a key property used to prove similarity.

Front

Can two triangles be similar if they have no equal angles?

Back

No, two triangles cannot be similar if they have no equal angles.