Geometry SOL Review G.7 Similar Triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may have different sizes. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side. It is a similarity criterion that states if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side. It is a similarity criterion that states 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 does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle. It is a similarity criterion that states if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

How can you determine if two triangles are similar using the AA criterion?

Back

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

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding sides?

Back

The lengths of the corresponding sides of triangle ABC and triangle DEF are in proportion.

Front

If the sides of triangle ABC are 3, 4, and 5, and the sides of triangle DEF are 6, 8, and 10, are the triangles similar?

Back

Yes, triangle ABC and triangle DEF are similar by SSS because the sides are in proportion (3:6, 4:8, 5:10).

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If triangle XYZ has angles of 30°, 60°, and 90°, what are the angles of a similar triangle?

Back

The angles of a similar triangle will also be 30°, 60°, and 90°.

Front

Can two triangles be similar if one triangle has a right angle and the other does not?

Back

No, two triangles cannot be similar if their corresponding angles are not equal.