Similar Figures 2

If a triangle has sides of 9 cm, 12 cm, and x cm, and is similar to another triangle with sides of 3 cm, 4 cm, and 5 cm, what is the value of x?

• 10 cm

• 12 cm

• 15 cm

• 18 cm

If the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the perimeter of a similar triangle with a scale factor of 3?

• 36 cm

• 48 cm

• 54 cm

• 60 cm

What is the scale factor in similar figures?

• The scale factor is the ratio of the lengths of two corresponding sides of similar figures.

• The scale factor is the difference in lengths of two corresponding sides of similar figures.

• The scale factor is the sum of the lengths of two corresponding sides of similar figures.

• The scale factor is the average of the lengths of two corresponding sides of similar figures.

What does it mean for two figures to be congruent?

• Congruent figures are identical in shape and size, meaning all corresponding sides and angles are equal.

• Congruent figures have the same area but different shapes.

• Congruent figures are similar in shape but not necessarily in size.

• Congruent figures can be transformed into one another through rotation only.

How do you determine if two figures are similar?

• Two figures are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

• Two figures are similar if they have the same area.

• Two figures are similar if they are both triangles.

• Two figures are similar if they can be rotated to match each other.

What is the relationship between the areas of two similar figures?

• The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding side lengths.

• The areas of two similar figures are equal to the sum of their corresponding side lengths.

• The ratio of the areas of two similar figures is equal to the ratio of their corresponding side lengths.

• The areas of two similar figures are proportional to their corresponding angles.

If two triangles are similar, what can you say about their angles?

• Their corresponding angles are equal.

• Their corresponding angles are different.

• Their angles are all acute.

• Their angles are all obtuse.

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the scale factor?

• 1:1

• 2:1

• 3:1

• 4:1

What is a proportion?

• A proportion is an equation that states that two ratios are equal.

• A proportion is a type of fraction.

• A proportion is a method of solving equations.

• A proportion is a comparison of two different quantities.

What are similar figures?

• Shapes that have the same shape and size

• Shapes that have the same shape but may differ in size

• Shapes that have different angles and sides

• Shapes that are always larger than the original