Unit 3: Transformations

Reflections

100

Reflection can be described as a:

A. Slide

B. Flip

C. Turn

B. Flip

200

Point E is located at (-2, -4). What is the coordinate E' after a reflection across the y-axis?

(2, -4)

300

Point B is located at (4,-2). Write the coordinate of B' after a reflection across the x-axis.

(4, 2)

400

Reflect the point (5,4) over y=x.

(4,5)

500

Reflect the point (-2,3) over y=-x.

(-3,2)

Translations

100

Translation can be described as a:

A. Slide

B. Flip

C. Turn

A. Slide

200

D is located at (-3,0). What is the coordinate of D' after a translation of 5 units to the right?

(2,0)

300

C is located at (2, -5). What is the location of C' after a translation of T_{(2, -1)}.

(4,-6)

400

If point J is at (3,-4) and you translate it left 5 units & up 7 units, what would be the coordinate of J'?

(-2,3)

500

If point W is at (-5,0) and first you translate it right 7 units & up 3 units, then you translate it left 2 units & down 3 units, what would the point at W' be?

(0,0) or the origin

Rotations

100

Rotation can be described as a:

A. Slide

B. Flip

C. Turn

C. Turn

200

If your pre-image is in quadrant II and you rotated the pre-image 270 degrees counter-clockwise, what quadrant would the image be located in?

Quadrant I

300

The coordinate C (9, -10) is rotated 90 degrees counter-clockwise. What is the coordinate of C'?

C'(10, 9)

400

If you have point G at (-3,2) and you rotate it 180 degrees, what would the point G' be?

(3, -2)

500

Triangle PQR has the following coordinates: P(0,0), Q(2,4), R(5,2).

Following a rotation of 270 degrees counterclockwise, what are the coordinates of P', Q' and R'?

P'(0,0), Q'(4,-2) and R'(2,-5)

Misc.

100

A reflection over the x-axis and then the y-axis is the same as saying a rotation of ____ degrees.

180

200

How many lines of symmetry does the capital letter A have?

1

300

What degrees of rotational symmetry does the capital letter B have?

None.

400

Point (x,y) goes through a translation of T_(-1,5) and then T_(3,-7). What single translation can represent this composition of transformations?

T_(2,-2) or (x + 2, y - 2)

500

The rule R_x-axis ◦ T_(-2,4) is applied to the point (1,-3). Where is the final image located?

(-1,-1)

Symmetry

100

How many lines of symmetry does a rectangle have?

2

200

If a figure has rotational symmetry only for 180 degrees, what type of symmetry does it have?

Point symmetry

300

How many lines of symmetry does a 5-pointed star have?

5

400

What is the minimum number of degrees needed to rotate a square onto itself?

90 degrees

500

Write out all of the degrees used to rotate a pentagon onto itself, not including 360 degrees.

72, 144, 216, 288