Similarity, Proportions, Congruence Slides

A survey of 12 students showed that 7 liked football, 10 liked basketball, and 5 liked both. How many students just liked basketball?

• 12

• 10

• 5

• 2

Debbie is painting an image on a piece of art canvas. The image she is reproducing is 3 inches by 5 inches.She enlarges the dimensions 4 times. Which of the following statements is not true?

• The perimeter of the original image and the perimeter of the new image are related by a scale factor of 4.

• The area of the new image is 4 times the area of the original image.

• The area of the original image and the area of the new image are related by a scale factor of 16.

• The perimeter of the original image is 1/4 the perimeter of the new image.

Which pair of polygons is similar?

• A

• B

• C

• D

Mitzi is 64 inches tall and cast a 48 inch shadow. Her daughter, who is standing next to her, casts a 30 inch shadow. How tall is her daughter?

• 47.5 in

• 40 in

• 35 in

• 22.5 in

Which of the following statements is not true if quadrilateral ABCD is congruent to quadrilateral RSTU?

• AB is congruent to RS

• CD is congruent to TU

• <T is congruent to <C

• <A is congruent to <U

The length of a rectangle is 18 cm and the width is 6 cm. A similar rectangle has a width of 2 cm. What is the length of the second rectangle?

• 6 cm

• 4 cm

• 8 cm

• 10 cm

Determine whether the triangle are similar. If so, write a similarity statement.

• not similar

• similar

• similar, Triangle ABC is similar to Triangle DBE

Determine if the two figures are congruent by using transformations. Explain your reasoning.

• not congruent

• congruent; reflected then translated

• congruent; rotated then translated

• congruent; translated

Determine if the two figures are similar by using transformations. Explain your reasoning.

• not similar

• similar

• similar; dilated

• similar, dilated then translated

Write a proportion comparing the rise to the run for each of the similar slope triangles shown. Then find the numeric value.

• 1

• 1/2

• 2

• 3