7.5C REVIEW

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the relationship between the angles of similar figures?

Back

All angles in similar figures are congruent (equal).

Front

If two triangles are similar, how do you find the length of a missing side?

Back

You can use the ratio of the lengths of corresponding sides to set up a proportion and solve for the missing side.

Front

What is the formula for finding the scale factor between two similar figures?

Back

The scale factor is found by dividing the length of a side of one figure by the length of the corresponding side of the other figure.

Front

If the scale factor of two similar figures is 2:3, what does this mean?

Back

This means that for every 2 units in the first figure, there are 3 units in the second figure.

Front

How do you determine if two parallelograms are similar?

Back

Two parallelograms are similar if their corresponding angles are equal and the lengths of their corresponding sides are in proportion.

Front

What is the missing side if the corresponding sides of two similar triangles are in the ratio 4:5 and one side of the first triangle is 8?

Back

The missing side is 10, calculated using the proportion 8/10 = 4/5.

Front

If a triangle has sides of lengths 6, 8, and 10, what is the scale factor if it is similar to a triangle with sides of lengths 9, 12, and 15?

Back

The scale factor is 3/2 or 1.5.

Front

What is the definition of congruent angles?

Back

Congruent angles are angles that have the same measure.

Front

If two similar figures have a scale factor of 1:4, what is the ratio of their areas?

Back

The ratio of their areas is the square of the scale factor, which is 1:16.