Quiz on Similar Figures and Dilations

Which of the following best describes the relationship between similar figures?

• They have the same size and shape.

• They have the same shape but may differ in size.

• They have the same size but may differ in shape.

• They have congruent corresponding angles but may not have proportional side lengths.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Triangle ABC is similar to triangle DEF. If AB = 6, DE = 9, and BC = 8, what is the length of EF?

• 4

• 12

• 16

• 24

Tags

CCSS.HSG.SRT.A.2

A dilation with a scale factor of 2 is applied to a triangle. Which of the following statements is true?

• The perimeter of the image is twice the perimeter of the original triangle.

• The area of the image is twice the area of the original triangle.

• The angles of the image are twice the size of the angles of the original triangle.

• The coordinates of the image are twice the coordinates of the original triangle.

Tags

CCSS.8.G.A.3

Two right triangles are similar. If the hypotenuse of the first triangle is 10 cm and the hypotenuse of the second triangle is 15 cm, what is the ratio of the areas of the two triangles?

• 2:3

• 4:9

• 10:15

• 100:225

Which of the following pairs of figures must be similar?

• Two squares

• Two rectangles

• Two equilateral triangles

• Two isosceles triangles

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

A dilation with a scale factor of 1/2 is applied to a square. What happens to the area of the square?

• The area is doubled.

• The area is halved.

• The area is quartered.

• The area remains the same.

Tags

CCSS.7.G.A.1

If two triangles are similar, which of the following statements is NOT always true?

• Corresponding angles are congruent.

• Corresponding sides are proportional.

• The triangles have the same perimeter.

• The triangles have the same shape.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

A map has a scale of 1 inch = 10 miles. If the distance between two cities on the map is 3 inches, what is the actual distance between the cities?

• 10 miles

• 30 miles

• 100 miles

• 300 miles

Tags

CCSS.7.G.A.1