Are they similar?

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size. This means their corresponding angles are equal and their corresponding sides are in proportion.

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in the same relative position at each intersection where a straight line crosses two others.

Front

How can you determine if two triangles are similar?

Back

Two triangles are similar if they satisfy one of the following criteria: AA (Angle-Angle) similarity, SSS (Side-Side-Side) similarity, or SAS (Side-Angle-Side) similarity.

Front

What is the AA similarity criterion?

Back

The AA 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 is the SSS similarity criterion?

Back

The SSS similarity criterion states that if the lengths of the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the SAS similarity criterion?

Back

The SAS 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 relationship between the sides of similar figures?

Back

The corresponding sides of similar figures are in proportion, meaning the ratio of the lengths of corresponding sides is constant.

Front

What is a scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of two corresponding sides of similar figures. It indicates how much one figure has been enlarged or reduced compared to the other.

Front

What is the significance of the corresponding sides in similar triangles?

Back

In similar triangles, the corresponding sides are proportional, which means that the ratios of the lengths of the sides are equal.

Front

Can two figures be similar if they have different orientations?

Back

Yes, two figures can be similar even if they have different orientations, as long as their corresponding angles are equal and their sides are in proportion.