Question 1

A parallelogram with vertices at $(0, 3), (2, 0), (4, 2),$ and $(2, 5)$ is reflected over the $y	ext{-axis}.$ Which vertex of the parallelogram will have the same $ x	ext{-coordinate}$ before and after the reflection?

Accepted Answer

$(0, 3)$

Answer

$(2, 5)$

Answer

$(2, 0)$

Answer

$(4, 2)$

Question 2

On a coordinate plane, vertex $A$ for triangle $ABC$ is located at $(6, 4)$. Triangle $ABC$ is dilated by a scale factor of 0.5 with the center of dilation at the origin. The resulting image is triangle $A'B'C'$. What are the coordinates of vertex $A'$?

Accepted Answer

(3, 2)

Answer

(12,8)

Answer

(6.5,4.5)

Answer

(5.5, 3.5)

Question 3

Triangle ABC is graphed on a coordinate plane, as shown below.

Triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin to create $	riangle$A'B'C' . What are the coordinates of the vertices of $	riangle$ A'B'C' ?

Accepted Answer

$(4,4),\,(8,8),\,(-8,4)$

Answer

$(4,2),\,(8,6),\,(-8,2)$

Answer

$(4,4),\,(6,6),\,(-2,4)$

Answer

$(1,1),\,(2,2),\,(-2,1)$

Question 4

Mia enlarged a plan for an outdoor stage. The original plan is shown below.

She dilated the outdoor stage by a scale factor of four with the center of dilation at the origin.
Which ordered pair will be the coordinates of one of the new vertices?

Accepted Answer

$ (32, 16)$

Answer

$(2, 1)$

Answer

$(8, 16)$

Answer

$(32, 4)$

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