Front

What does AA~ stand for in triangle similarity?

Back

AA~ stands for Angle-Angle similarity, which 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 SAS similarity criterion?

Back

SAS stands for Side-Angle-Side similarity, which states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

What does SSS~ mean in triangle similarity?

Back

SSS~ stands for Side-Side-Side similarity, which states that if the three sides of one triangle are proportional to the three sides of another triangle, then the triangles are similar.

Front

What is the AAS similarity criterion?

Back

AAS stands for Angle-Angle-Side similarity, which states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are similar.

Front

If two triangles have angles measuring 53°, 78°, and 49°, what are the angles of a similar triangle created by dilation?

Back

The angles of the similar triangle will also be 53°, 78°, and 49° because dilation does not change the angles.

Front

How do you determine if two triangles are similar?

Back

You can determine if two triangles are similar by using similarity criteria such as AA~, SAS~, SSS~, or AAS~.

Front

What is the significance of the scale factor in dilation?

Back

The scale factor in dilation indicates how much larger or smaller the new figure is compared to the original figure, but it does not affect the angles.

Front

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

Back

The corresponding angles of triangle ABC and triangle DEF are equal.

Front

If the sides of triangle ABC are 3, 4, and 5, and triangle DEF is similar to triangle ABC with a scale factor of 2, what are the lengths of the sides of triangle DEF?

Back

The lengths of the sides of triangle DEF will be 6, 8, and 10.

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.