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Practice on Lesson 3-1 to 3-3

Total questions: 10

Worksheet time: 14mins

Name
Class
Date
1.
If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, -5)
c)
(-5, 3)
d)
(-3, 3)
2.

Suppose ΔDEF is the image of a translation of ΔABC. If D is at (−6, −2), what translation rule maps ΔABC to ΔDEF?

a)

T⟨9, 2⟩ABC) = ΔDEF

b)

T⟨−9, 2⟩(ΔABC) = ΔDEF

c)

T⟨–9, –2⟩(ΔABC) = ΔDEF

d)

T⟨9, –2⟩(ΔABC) = ΔDEF

3.

Suppose the equation of line s is y = 2. What are the coordinates of A' of ΔA'B'C' for Rs?

a)

(­­–1, –4)

b)

(­­–1, 3)

c)

(­­–3, 5)

d)

(­­2, 5)

4.

The rule T⟨-2, 4⟩ is used for point (5, −1). Where is the translated point in the coordinate system?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

5.

Determine how to translate triangle A'B'C' to triangle ABC.

a)

(x+2, y-5)

b)

(x-2, y+9)

c)

(x-2, y-9)

6.
B(-2, -4)
Reflect over the line y = x
a)
(2, -4)
b)
(-4, 2)
c)
(-4, -2)
d)
(4, 2)
7.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
8.

What is the rule used to transform ΔABC to its image?


A(−3, 5), B(2, 8), C(−4, −5) and A'(−3, −5), B'(2, −8), C'(−4, 5)

a)

Rm(x, y) = (−y, x), where the equation of line m is y = −x

b)

Rn(x, y) = (y, x), where the equation of line n is y = −x

c)

Ry-axis(x, y) = (−x, y)

d)

Rx-axis(x, y) = (x, y)

9.

Given triangle ABC with coordinates A (2, -4), B (-2,5) and C (5,5). The figure is translated 3 units in the positive y direction and 5 units in a negative x direction. After translating, the translated figure is reflected across the y-axis. Which of the following describes the location of C after all the transformations?

a)

(0,8)

b)

(0,-8)

c)

(8,0)

d)

(-8,0)

10.

Rotate the point (7,8) around the origin 270 degrees clockwise.

State the image of the point.

a)

(-7,-8)

b)

(8,-7)

c)

(-8,7)

d)

(8,7)