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Translations
Rotations
Reflections
Dilations
Vocabulary
100

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

A'(-4, 8)

100

True or False: Rotations of 180 degrees counter clockwise are the same as clockwise.

True

100
True or False: Reflections preserve size and orientation.
False - orientation is not preserved under a reflection.
100

True or False: A dilation is not a rigid transformation (an isometry).

True - A dilation is not a rigid transformation (an isometry) because it does not preserve the size of the shape.

100

What is the definition of a prime point?

point after transformation has been performed

200

Translate L(-3, -2) A(0, -1) D(3, -2) 1 unit right and 3 units up. (Give the coordinates of the image)

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

200

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

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

200
What is the new coordinate point of H(-7, 9) if you reflect it over the x-axis?
H'(-7, -9)
200
What is the new image of G(8, 10) if it undergoes a dilation by a factor of 25?
G'(200, 250)
200

When you rotate clockwise 90 degrees, how many degrees is that for counter clockwise.

270 degrees

300

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

T (x,y) -> (x + 6, y)

300

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

Z'(0, 4)

300
What are the points of the new image D(-1, -4) E(2, -4) F (2, 5) after a reflection through the origin?
D'(1, 4) E'(-2, 4) F'(-2, -5)
300

What is the dilation factor if A(-2, 3) mapped to A'(-0.9, 1.35)?

D 0.45

300
What is the difference between an enlargement of a shape and a reduction?
Enlargement is a dilation by a number bigger than 1, Reduction is a dilation by a number between 0 and 1.
400

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

A(10, -10)

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
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

400

Dilate A(-4, -6.2) B(1/2, 1/3) C(-5, -7) by a scale factor of 1/8. Leave in simplest fraction form!

A'(-1/2, -31/40) B'(1/16, 1/24) C'(-5/8, -7/8)

400
What does orientation mean?
Position of your image, correlating to how it is read.
500

What are the coordinates of the 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)

500

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

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

500

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

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

500

What is the pre-image of D'(-8, -12) E'(-8, 12) F'(12, -8) if it underwent a dilation by 2?

D(-4, -6) E(-4, 6) F(6, -4)

500

What is a rigid transformation, or an isometry?

Transformation that changes position without changing the size or shape of the figure.