Transformations on the Coordinate Plane

Question 1

What is a transformation?

Answer 1

Is the movement of a geometric figure.

Question 2

Is the position of the figure before the transformation.

Answer 2

Preimage

Question 3

Is the position of the figure after the transformation.

Answer 3

Image

Question 4

Preimage

Answer 4

Is the original figure

Question 5

Image

Answer 5

Is the resulting or modified figure.

Question 6

What are the tranformation of figure on the coordinate plane?

Answer 6

-Reflection (or flip)
-Translation (or slide)
-Dilatation (or increase or decrease)
-Rotation (or turn)

Question 7

Reflection

Answer 7

A figure flipped over a line.

Question 8

Translation

Answer 8

A figure slide in any direction.

Question 9

Dilatation

Answer 9

A figure enlarged or reduce.

Question 10

Rotation

Answer 10

A figure turned around a point.

Question 11

To reflect a point over the x-axis,

Answer 11

multiply the y-axis by -1. (x, -y)

Question 12

To reflect a point over the y-axis

Answer 12

multiply the x-axis by -1. (-x, y)

Question 13

To translate by an ordered pair (a,b), add a to the x-coordinate, and b to the y-coordinate

Answer 13

( x + a, y + b )

Question 14

To dilate a figure by a scale factor k, multiply both coordinates by k.

Answer 14

(xk, yk)

Question 15

To rotate a figure 90° counterclockwise about the origin,

Answer 15

switch the coordinates and multiply the new first coordinate by -1.

Question 16

To rotate a figure by 180° about the origin,

Answer 16

multiply both coordinates by -1.