Dilations, Translations, and Reflections on a Coordinate Plane

If this figure is rotated 180 degrees, which quadrant will it end up in?

• quadrant 1

• quadrant 2

• quadrant 3

• quadrant 4

A car driving down a straight road is an example of a _________.

• rotation

• reflection

• translation

• dilation

When reflecting over the y-axis, the ​ (a)   stays the same and the ​ (b)   becomes opposite.

• y

• x

When reflecting over the x-axis, the ​ ​ (a)   stays the same and the ​ (b)   becomes opposite.

• y

• x

Translate the triangle down four and right three, then reflect over the x-axis. What is the new location of point C?

• (-2,-6)

• (2,-6)

• (2,6)

• -2,6)

The vertices of a rectangle are E(-2,2), F(-5,2), G(-5,4), H(-2,4). Reflect the figure in the x-axis, then translate the image 6 units right. What are the coordinates of the final rectangle?

• A

• B

• C

• D

How is triangle ABC being translated to triangle A'B'C'?

• up 3, left 8

• up 9, left 4

• down 3, right 8

• down 9, right 4

Determine the image of A after it's first dilated by a scale factor of 1/2 and then translated by the rule

(x, y) → (x − 4, y − 3)

• (-7, -5)

• (-3, -2)

• (-10, -7)

• (-6, -4)

Which algebraic rule shows how triangle ABC being translated to triangle A'B'C'?

• (x, y) --> (x - 3, y + 8)

• (x, y) --> (x + 3, y - 8)

• (x, y) --> (x - 4, y + 9)

• (x, y) --> (x + 4, y - 9)