Geometry Transformations

Translations

100

What is A' when A(1, 4) is translated following the rule (x-5, y+4)?

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

(x + 6, y+1)

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) following the rule (x + 4.5, y - 2.3)?

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

Rotations

100

What is B' when B (2,-3) is rotated 90 degrees clockwise?

B'(-3,-2)

200

True or False: Rotating a figure 90 degrees clockwise is the same as rotating a figure 270 degrees counterclockwise.

True - rotating a figure 90 degrees clockwise IS the same as rotating a figure 270 counterclockwise degrees.

300

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

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 rotation 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 over the x-axis?

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

400

Over what axis have the points L(1, 4) M(1, 0) N (3,0) been reflected over to result in L'(-1, 4) M'(-1, 0) N'(-3, 0)?

y-axis

500

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

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

Dilations

100

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

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) is mapped to A'(-3, 4.5)?

1.5

400

Dilate A(-4, -6) B(2, 16) C(-8, -4) by a factor of 1/4. 

A(-1, -1.5) B'(0.5, 4) C'(-2, -1)

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)

Identify Transformations

100

What type of transformation would result in A(0, -2) mapping to A'(0, 2)?

Reflection (x-axis)

200

What type of transformation would result in C(1, 2) mapping to C'(-1, -2)?

Rotation (180 degrees)

300

What type of transformation would result in M(3, 4) mapping to M'(6, 8)?

Dilation (factor of 2)

400

What type of transformation would result in B(7, -1) mapping to B'(5, 2)?

Translation (<-2,3>)

500

What three transformations are examples of isometry, or rigid motion?

Translation, rotation, reflection