Vocabulary
Rules
One Transformation
Series of Transformations
Identify the Transformation(s)
100

What is a line of reflection?

The line of reflection is the line you reflect the figure over.

100

What is the rule for sliding a figure 3 units right and 2 units down?

(x + 3, y - 2) or < 3, -2 >

100

Given that triangle ABC with vertices A (0, 2), B (1, 4), and C (5, -2) was translated along the vector < 3, -2 >, what is the image of C?

C' (8, -4)


*BONUS 100 points: What quadrant is C' in?

100

R (4, 3) is transformed to R' using the following transformations:

rx-axis, ry-axis, then R180

What are the coordinates of R'?

R' (4, 3)

100

Identify the transformation.

Translation


*BONUS 100 points: What is the translation rule used from the preimage to the image?

200

What is it called when the preimage and the image are congruent?

Isometry / Rigid Motions


*BONUS 100 points: What are the rigid motions?

200

Without repeating these transformations, reflecting over the x-axis, then over the y-axis is the same as doing what?

180rotation

200

Given that triangle ABC with vertices A (0, 2), B (1, 4), and C (5, -2) was reflected over the line x = 0, what is the image of A?

A' (0,2)


*BONUS 100 points: If the question asked you to reflect over the line y = 0, what is that line called?

200

Reflect the line segment XY where X (2, 3) and Y (4, -2) over the x - axis, then translate the figure along the vector < -2, 4 >. What are the vertices of the image?

X' (0, 1)

Y' (2, 6)

200

Identify the series of transformations.

1. reflect over the y-axis, then translate < 0, -3 >

2. translate < 0, -3>m then reflect over the y-axis


*BONUS 100 points: What is the equation for the y-axis?

300

What is a preimage?

Preimage: the figure before the transformation

300

What is the rule for rotating 270 counterclockwise?

(x, y) --> (y, -x)


*BONUS 100 points: Rotating 270 CC is the same as what other rotation?

300

Given that triangle ABC with vertices A (2, 4), B (1, -4), and C (6, 1) was rotated 90oCC, what is the image of B?

B' (4, 1)


*BONUS 100 points: If someone said B' = (-1, 4), what did they do wrong?

300

Translate the figure 3 units left and 4 down, then rotate 90 C around the origin.

A (-1, 3) B (1, 2) C (0, -1)

A' (-1, 4)

B' (-2, 2)

C' (-5, 3)

300

What transformation maps the preimage onto the image?

Rotate 90o C or 270o CC

400

What are the key words for the following transformations:

1. translation

2. reflection

3. rotation

1. slide

2. flip

3. turn

400

State the rule for reflecting over the x-axis.

(x, y) --> (x, -y)

*multiply y by -1


*BONUS 100 points: What is the equation of the x-axis?

400

Given that triangle XYZ with vertices X (2, -5), Y (0, 4), and Z (-1, -2) was reflected over the line y = -2, what are the vertices of the image triangle X'Y'Z'?

X' (2, 1)

Y' (0, -8)

Z' (-1, -2)

400

Transform triangle ABC with vertices

A (6,4), B(7,-3) and C (-2, -3) using the series of transformations:

r x = 2 o T < 3, 2 >

A' (-5, 6)

B' (-6, -1)

C' (3, -1)

400

What transformations map the preimage onto the image?

Rotate 90C, then reflect over the x-axis

OR

Rotate 90CC, then reflect over the y-axis


*BONUS 100 points: The series of transformations is the same as what one transformation?

500

What is a vertex?

A point of a figure


*100 bonus - What is the word if there is more than one vertex?

500

What is the rule for reflecting over the line y = x?

(x, y) --> (y, x)


*BONUS 100 points: What is the rule for reflecting over the line y = -x?

500

A' (4, 5) was rotated 90o C around the origin. What is the coordinate point for the preimage?

A (-5, 4)

500

Transform line segment HM where H (-4, 2) and M (3, -2) using the transformations:

r x = 0 o R 90CC

H (-4, 2) --> (-2, -4) --> H' (2, -4)

M (3, -2) --> (2, 3) --> M' (-2, 3)


*BONUS 100 points: R 90CC then r x = 0 is the same as what one transformation?

500

What series of transformations maps the preimage onto the image?

Rotate 180o, then translate 4 units down OR translate 4 units up, then rotate 180o

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