4-8 Similar Figures and Proportions

Front

What is the definition of similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

What must be true for two polygons to be similar?

Back

For two polygons to be similar, their corresponding sides must be proportional, and their corresponding angles must be congruent.

Front

If triangle ABC is similar to triangle DEF, what can we say about their corresponding sides?

Back

The lengths of the corresponding sides of triangle ABC and triangle DEF are in proportion.

Front

What is the formula for finding the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of all its sides.

Front

If the sides of two similar triangles are in the ratio 2:3, what is the ratio of their perimeters?

Back

The ratio of their perimeters is also 2:3.

Front

What does it mean if two shapes are congruent?

Back

Two shapes are congruent if they are the same shape and size, meaning all corresponding sides and angles are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply and then divide to find the unknown value.

Front

If a triangle has sides of lengths 6, 8, and 10, what is its perimeter?

Back

The perimeter is 6 + 8 + 10 = 24 units.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If two similar figures have a scale factor of 1:4, how does this affect their areas?

Back

The area of the larger figure is 16 times greater than the area of the smaller figure because area scales with the square of the scale factor.