SIMILARITY REVIEW

Front

What is similarity in triangles?

Back

Similarity in triangles means that two triangles have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What are the criteria for triangle similarity?

Back

The criteria for triangle similarity are: 1) AA (Angle-Angle) - If two angles of one triangle are equal to two angles of another triangle, the triangles are similar. 2) SAS (Side-Angle-Side) - If one angle of a triangle is equal to one angle of another triangle and the sides including those angles are in proportion, the triangles are similar. 3) SSS (Side-Side-Side) - If the sides of one triangle are in proportion to the sides of another triangle, the triangles are similar.

Front

What does the AA similarity criterion state?

Back

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

Front

What does the SAS similarity criterion state?

Back

The SAS similarity criterion states that if one angle of a triangle is equal to one angle of another triangle and the sides including those angles are in proportion, then the two triangles are similar.

Front

What does the SSS similarity criterion state?

Back

The SSS similarity criterion states that if the lengths of the sides of one triangle are proportional to the lengths of the sides of another triangle, then the two triangles are similar.

Front

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

Back

The angles of a similar triangle will also measure 53°, 78°, and 49°.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape. It involves a scale factor that determines how much the figure is enlarged or reduced.

Front

How does a scale factor affect the sides of similar triangles?

Back

In similar triangles, the lengths of corresponding sides are proportional to the scale factor. If the scale factor is greater than 1, the triangle is enlarged; if it is less than 1, the triangle is reduced.

Front

Can two triangles be similar if one is a right triangle and the other is not?

Back

Yes, two triangles can be similar even if one is a right triangle and the other is not, as long as their corresponding angles are equal.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.