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 their corresponding sides are proportional.

Front

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

Back

The Angle-Angle (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 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 missing side length in similar triangles?

Back

To find the missing side length in similar triangles, set up a proportion using the lengths of the corresponding sides and solve for the unknown.

Front

What is the relationship between the perimeters of similar figures?

Back

The ratio of the perimeters of similar figures is equal to the ratio of their corresponding side lengths.

Front

If quadrilateral OPQR is similar to quadrilateral STUV, what can be said about their corresponding angles?

Back

The corresponding angles of quadrilateral OPQR and quadrilateral STUV are equal.