Similarity and Transformation

Front

What is the definition of similarity in geometry?

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 is a scale factor?

Back

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

Front

If a triangle is dilated by a scale factor of 2, what happens to its sides?

Back

Each side of the triangle will be multiplied by 2, making the triangle twice as large.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

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

Back

To find the scale factor, divide the length of a side of the larger triangle by the length of the corresponding side of the smaller triangle.

Front

If triangle ABC is similar to triangle XYZ and the length of side AB is 10 cm and side XY is 5 cm, what is the scale factor?

Back

Front

What is the relationship between corresponding angles in similar triangles?

Back

Corresponding angles in similar triangles are equal.

Front

Back

Front

What is the formula for the area of a triangle?

Back

Front

If the sides of a triangle are in the ratio 2:3, what can be said about the triangles?

Back