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

When we are rotating 2 quadrants, how many degrees is that?

180

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?

Rule: (x,y)--> (-x,-y)

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 underwent r y =x?

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

Dilations

100

True or False: A dilation is rigid motion.

False - A rigid motion moves, but doesn't change 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'(-6, 9)?

K = 3

400

Dilation 1/2 of A(-4, -6) B(8, 4) C(-10, -2)? what are the new coordinates

A(-2, -3) B'(4, 2) C'(-5, -1)

500

What are the new coordinates of the dilation D(-4, -6) E(-4, 6) F(6, -4) in K =2

D'(-8, -12) E'(-8, 12) F'(12, -8)

Vocabulary

100

Image and Pre-Image...

What is the name of the original shape?

Pre-image

200

What does congruent mean?

Same or equal

300

When describing shapes, what does similar mean?

proportional, kind of like, alike, not exact, not exact, same shape different sizes, related

400

What does dilation mean?

The image getting bigger or smaller

500

What is rigid motion?

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