Similar Figures

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

• 1:1

• 2:1

• 3:1

• 4:1

What is the scale factor in similar figures?

• The difference in area between two similar figures.

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

• The total perimeter of the two figures combined.

• The average of the lengths of all sides of the figures.

What is the importance of understanding similar figures in real life?

• It is only important in mathematics classes.

• Understanding similar figures helps in various real-life applications such as architecture, engineering, and art, where scaling and proportions are essential.

• It has no real-life applications.

• It is only relevant for artists and designers.

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

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

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

• The areas of similar figures are always equal.

• The ratio of the areas is equal to the cube of the ratio of their corresponding side lengths.

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 shapes but the same size

• Shapes that have no relation to each other

If the scale factor of two similar rectangles is 3:5, what is the ratio of their areas?

• 6:15

• 9:25

• 3:5

• 15:9

How do you find the missing side of similar figures?

• By measuring the angles of the figures.

• By setting up a proportion using the lengths of the corresponding sides of the similar figures.

• By adding the lengths of the sides together.

• By calculating the area of the figures.

If two triangles are similar, what can be said about their angles?

• Their corresponding angles are equal.

• Their corresponding angles are different.

• Their angles are all acute.

• Their angles add up to 180 degrees.

If two similar figures have a scale factor of 1:4, and one side of the smaller figure is 5 cm, what is the corresponding side of the larger figure?

• 15 cm

• 20 cm

• 25 cm

• 30 cm

What is a proportional relationship in the context of similar figures?

• A proportional relationship means that as one quantity changes, another quantity changes at a constant rate, maintaining the same ratio.

• A proportional relationship indicates that two quantities are always equal regardless of their values.

• A proportional relationship occurs when one quantity is a fixed multiple of another, regardless of the rate of change.

• A proportional relationship implies that the quantities involved are unrelated and change independently.