Similar Figures Flashcard

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 the lengths of corresponding sides are proportional.

Front

What is the Angle-Angle (AA) criterion for similarity?

Back

The Angle-Angle (AA) 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 Side-Side-Side (SSS) similarity criterion?

Back

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

Front

What is the Side-Angle-Side (SAS) similarity criterion?

Back

The Side-Angle-Side (SAS) similarity criterion states that if one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.

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 it 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 are 6, 8, and 10.

Front

What is a scale factor in similar figures?

Back

A scale factor is a number that scales, or multiplies, some quantity. In similar figures, it is the ratio of the lengths of corresponding sides.

Front

How do you find the scale factor between two similar triangles?

Back

To find the scale factor between two similar triangles, divide the length of a side of one triangle by the length of the corresponding side of the other triangle.

Front

What is the relationship between the areas of two similar figures?

Back

The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding side lengths.

Front

If the scale factor of two similar triangles is 3:5, what is the ratio of their areas?

Back

The ratio of their areas is 9:25, since (3^2):(5^2) = 9:25.