Similarity & Proportions

Front

What is the definition of similar triangles?

Back

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

Front

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

Back

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

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

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the definition of proportional sides?

Back

Sides of two or more figures that have the same ratio to each other.

Front

If triangle ABC is similar to triangle DEF, and AB = 4, DE = 8, what is the ratio of their corresponding sides?

Back

The ratio is 1:2.

Front

How do you find the missing length in similar triangles?

Back

Set up a proportion using the lengths of the corresponding sides of the similar triangles.

Front

If two triangles have sides of lengths 3, 4, and 5, and 6, 8, and 10, are they similar?

Back

Yes, they are similar because the sides are in proportion (1:2).

Front

What is the definition of a scale factor in similar figures?

Back

The ratio of the lengths of corresponding sides of two similar figures.

Front

If the scale factor of two similar triangles is 3:5, and the length of a side in the smaller triangle is 9, what is the length of the corresponding side in the larger triangle?

Back

The length is 15.

Front

What is the definition of a polygon?

Back

A closed figure formed by a finite number of line segments.