Unit 7 (Transformations) Quiz 1 (Dilation)

Triangle ABC is dilated from the origin with a scale factor of 3. Which of the following is the new coordinate for point A?

• (3x, 3y)

• (x + 3, y + 3)

• (1/3x, 1/3y)

• (x-3, y-3)

Tags

CCSS.8.G.A.3

Look at point T on the pentagon below. If the pentagon is dilated by a scale factor of 1/2 from the origin, what will be the new location of point T.

• (2x, 2y)

• (x+2, y+2)

• (1/2x, 1/2y)

• (x+1/2, y+1/2)

Tags

CCSS.8.G.A.3

Triangle RST with vertices R(-8, 2), S(-8, -6) and T(4, -6) is dilated by a scale factor of 1.5. Which statement is false?

• Triangle RST is smaller than triangle R'S'T'.

• The algebraic representation for the dilation is (x, y) --> (1.5x, 1.5y).

• Triangle RST is bigger than triangle R'S'T".

• Triangle RST and R'S'T' are similar.

Tags

CCSS.8.G.A.3

Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral A'B'C'D'.

Which rule best represents the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D'?

• (x, y) --> (0.4x, 0.4y)

• (x, y) --> (x + 3, y + 1.5)

• (x, y) --> (2.5x, 2.5y)

• (x, y) --> (x - 1.5, y + 3)

Tags

CCSS.8.G.A.3

Triangle ABC and its dilation, triangle A'B'C', are shown.

Which statement about triangle ABC and triangle A'B'C' is true?

• The angles of triangle A'B'C' will be 1.5 times greater than the angles of triangle ABC.

• The angles of triangle A'B'C' will be 2/3 of the angles of triangle ABC.

• The sidle lengths of triangle A'B'C' are 1.5 times the side lengths of triangle ABC.

• The side lengths of triangle A'B'C' are 2/3 of the side lengths of triangle ABC.

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)

• A'(9,9) B'(18,18) C'(27,9)
• A'(6,6) B'(9,9) C'(12,6)
• A'(0,0) B'(3,3) C'(6,0)
• A'(1,1) B'(2,2) C'(3,1)

Tags

CCSS.8.G.A.3

In a dilation what mathematical operation is used with the scale factor?

• addition 
• subtraction 
• multiplication 
• division 

Tags

CCSS.8.G.A.3

The red triangle has been dilated by a scale factor of 1/4, which triangle is it's new image? 

• green triangle 
• red triangle 
• black triangle
• none of these 

Tags

CCSS.8.G.A.3

A scale factor of less than one means

• that the image will be larger than the pre-image.
• That the image will be the same as the pre-image.
• That you need to subtract that amount off  of each side.
• That the image will be a reduction of the pre-image.

Tags

CCSS.8.G.A.3

• A
• B
• C
• D

Tags

CCSS.HSG.CO.A.2