Similar Figures and Proportions

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

What does it mean for triangles to be similar?

Back

Triangles are similar if their corresponding angles are congruent and the lengths of their corresponding sides are proportional.

Front

How do you determine if two triangles are similar?

Back

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

Front

What is the scale factor in dilation?

Back

The scale factor is a number that scales, or multiplies, the dimensions of a figure. It determines how much larger or smaller the new figure will be compared to the original.

Front

How do you find the new perimeter after dilation?

Back

To find the new perimeter after dilation, multiply the old perimeter by the scale factor used in the dilation.

Front

What is the relationship between corresponding angles in similar figures?

Back

In similar figures, all corresponding angles are congruent (equal in measure).

Front

What is the relationship between corresponding sides in similar figures?

Back

In similar figures, all corresponding sides are proportional, meaning they have the same ratio.

Front

If two triangles have sides in the ratio 2:3, are they similar?

Back

Not necessarily. To be similar, the corresponding angles must also be congruent, not just the sides proportional.

Front

What does it mean for angles to be congruent?

Back

Congruent angles are angles that have the same measure.

Front

Can two figures be similar if one is a reflection of the other?

Back

Yes, two figures can be similar even if one is a reflection of the other, as long as their corresponding angles are equal and sides are proportional.