Geometry Transformations

Translations

100

Label and state the image of A(1, 4) after a translation 4 units up and 5 units left?

A'(-4, 8)

200

Translate L(-3, -2) A(0, -1) D(3, -2) 1 unit right and 3 units up.

L'(-2, 1) A'(1, 2) D'(4, 1)

300

What is the translation if the points are going from A(-3, -4), B(-1, -5) to A'(3, -4), B'(5, -4)?

T(x + 6, y)

400

What is the coordinate point of the pre-image A given that A' is (8, -7) and underwent T(x - 2, y + 3)

A(10, -10)

500

What is the new image of A(2, 4) B(3, -6) C( -6, -6) given (x, y) --> (x + 4.5, y - 2.3)?

A'(6.5, 1.7) B'(7.5, -8.3) C'(-1.5, +8.3)

Rotations

100

If the image after a rotation of 90 degrees clockwise is (-2, 3) what was the pre-image? 

(3, 2)

200

True or False: Rotating a figure 90 degrees is NOT the same as rotating a figure -270 degrees.

False - rotating a figure 90 degrees IS the same as rotating a figure -270 degrees.

300

What is the new image of Z(-4, 0) if you rotate it 270 degrees?

Z'(0, 4)

400

How many degrees was the figure rotated if the new image of X(-4, 2) Y(-4, 0) Z(0, 3) is X'(4, -2) Y'(4, 0) Z'(0, -3)?

Rotation of 180 degrees

500

What is the pre-image of M'(-2, 2) N'(-1, -2) O'(-3, -3) after a rotating of -180 degrees?

M(2, -2) N(1, 2) O(3, 3)

Reflections

100

True or False: Reflections preserve the size of the preimage.

True

200

What is the new coordinate point of H(-7, 9) if you reflect it over the x-axis?

H'(-7, -9)

300

What are the points of the new image D(-1, -4) E(2, -4) F (2, 5) after a reflection through the y=x?

D'(1, 4) E'(-2, 4) F'(-2, -5)

400

What is the line of reflection if L(1, 4) M(1, 0) N (3,0) mapped to L'(5, 4) M'(5, 0) N'(3, 0)?

reflection over the line x = 3

500

What is the pre-image of A'(4, 0) B'(5, 1) and C'(4, -4) if it underwent a reflection of y =x?

A(0, 4) B(1, 5) C(-4, 4)

Rotations

100

When you rotate a figure, what are you doing to the figure?

Turning it

200

If your pre-image is located in quadrate II and you rotate it counter clockwise 90 degrees, what quadrant would your image be located in?

Quadrant III

300

If your pre-image is located in quadrant III and it is rotated 180 degrees, what quadrant would your image be located in?

Quadrant I

400

If you have point G located at (-3, 2) and you rotate it 90 degrees clockwise, what would the point G' be?

(2, 3)

500

If you have the point Q at (1, -4) and it is translated left 3 units and up 5 units, THEN it is  rotated 180 degrees, what would point Q' be?

(2, -1)

Vocabulary/Misc.

100

What is the definition of a pre - image?

Shape before transformation has been performed

200

If you have a point (x, y) and you reflect over the x-axis, what would your new point be?

(x, -y)

300

If you have a point (x, y) and you are asked to rotate it 180 degrees, what is the new point?

(-x, -y)

400

If you had a point (x, y) what would the image of the point be if you rotate it: 

a) 90 degrees clockwise

b) 180 degrees clockwise

c) 270 degrees clockwise

(Need all 3 answers correct to get any points)

a) (y, -x)

b) (-x,-y)

c) (-y, x)

500

You are given the pre-image point of (x, y). What are TWO rotations could you perform that would result in the same image?

Counter clockwise 270 and clockwise 90 OR Clockwise 270 and counter clockwise 90