Geometry Transformations

Translations

100

Label and state the prime 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, -5)?

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

When we are rotating by positive degrees, do we move clockwise or counter clockwise?

Counter-clockwise

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 size and orientation.

False - orientation is not preserved under a reflection.

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 origin?

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 is reflected across the line y =x?

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

Dilations

100

True or False: A dilation is not an isometry.

True - A dilation is not an isometry because it does not preserve the size of the shape.

200

What is the new image of G(8, 10) if it undergoes a dilation by a factor of 25?

G'(200, 250)

300

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

D 0.45

400

D 1/8 of A(-4, -6.2) B(1/2, 1/3) C(-5, -7)? Leave in simplest fraction form!

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

500

What is the original 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)

Vocabulary

100

What is a transformation in which a graph or geometric figure is picked up and moved to another location without any change in size or orientation?

A translation. 

200

What are operations that alter the form of a figure? Examples: translations, reflections, dilations, and rotations.

Transformations

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 a transformation in which a plane figure turns around a fixed center point?

Rotation

500

What is an isometry, or rigid motion?

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