Dilations and Similarity Transformations

What will the new coordinates of D(4,6) be after a dilation centered at the origin with a scale factor of 1/2

• D'(2,6)

• D'(4,3)

• D'(-2,-3)

• D'(2,3)

Which of the statements is true about the graphed triangles?

• They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

• They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

• They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

• They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

Pentagon ABCDE is similar to Pentagon RYMNT. Which of the following is correct.

• ∠C ≅ ∠M

• ∠T ≅ ∠E

• ∠Y ≅ ∠B

• ∠A ≅ ∠M

• ∠C ≅ ∠R

Quadrilateral KMPT is dilated by a scale factor of 3/4 to create quadrilateral K'M'P'T. The perimeter of quadrilateral KMPT is x units. What is the perimeter in units of quadrilateral K'M'P'T'?

• x units

• 3/4x units

• (3/4)^2x units

• 4/3x units

A triangle is dilated by a scale factor of ⅓ to produce a new triangle. Which of the following best describes the relationship between the perimeter of the original triangle compared to the perimeter of the new triangle?

• The perimeter of the new triangle is ⅓ that of the original triangle

• The perimeter of the new triangle is 3 times that of the original triangle.

• The perimeter of the new triangle is 1/9 that of the original triangle.

• The perimeter of the new triangle is 9 times that of the original triangle

Triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4 . Which describes the relationship between the two triangles?

• Triangle A'B'C' is an enlargement of triangle ABC

• Triangle A'B'C' is a reduction of triangle ABC

• Triangle A'B'C' is a mirror image of triangle ABC

Given square RSTV, where RS 9 cm. If square RSTV is dilated by a scale factor of 3 about a given center, what is the perimeter, in centimeters, of the image of RSTV after the dilation?

• 12

• 27

• 36

• 108

Triangle ABC is dilated by a scale factor of 5. To find the perimeter of the image after the dilation, you would multiply the perimeter of the pre-image by...

• 5

Triangle 1 is dilated by a scale factor of 4.1 using the origin as the center of dilation to create Triangle 2. Which statement about the area and perimeter of Triangle 2 is true?

• The perimeter is 4.1 times the perimeter of Triangle 1, and the area is 4.1 times the area of Triangle 1.

• The perimeter is 8.2 times the perimeter of Triangle 1, and the area is 8.2 times the area of Triangle 1.

• The perimeter is 4.1 times the perimeter of Triangle 1, and the area is 16.81 times the area of Triangle 1.

• The perimeter is 16.4 times the perimeter of Triangle 1, and the area is 16.81 times the area of Triangle 1.

Tags

8.10.D

Triangle ABC is dilated by a scale factor of 2/3 to create triangle A'B'C'. The perimeter of triangle ABC is x units. What is the perimeter in units of triangle A'B'C'.

• A. x units

• B. 2/3x units

• C. (2/3)^2x units

• D. 3/2x units