10R Unit 2 Transformations HW 2.3
Reflections
______1. What is the image of point (–3,–1) under a reflection in(through) the origin?
(1) (3, 1)
(3) (1, 3)
(2) (–3, 1)
(4) (–1, –3)
______2. Ms. Brewer’s art class is drawing reflected images. She wants her students to draw
images reflected in a line. Which diagram represents a correctly drawn image?
_____3. Point (-2, 3) is reflected in the x-axis. In which quadrant does its image lie?
(1) I
(3) III
(2) II
(4) IV
_____4. The parabola shown in the accompanying
diagram undergoes a reflection in the y-axis.
What will be the coordinates of the turning
point after the reflection?
(1) (3, -1)
(3) (-3, 1)
(2) (3, 1)
(4) (-3, -1)
_____5. A function, f, is defined by the set {(2,3), (4,7), (-1,5)}. If f is reflected in the line y = x,
which point will be in the reflection?
(1) (5, -1)
(3) (1, -5)
(2) (-5, 1)
(4) (-1, 5)
_____6. Use the rule (x, y)  (x –3, y + 12) to find the image of (2, 0)
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7. In the accompanying diagram of square ABCD, F is the midpoint of AB, G is the midpoint of BC, H is the
midpoint of CD , and E is the midpoint of DA .
a) Find the image of EOA after it is reflected in line . _________
b) Which point is invariant? ____________
c) Is this isometry direct or opposite? ____________________
Explain your answer.
8. Find the coordinates of each image.
a)
Rx1 (Q) _________ b)
Ry1 (P) _________ c)
Ryaxis (S) _________ d)
Rxaxis (V )_________
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9. Jon was asked to reflect the figure, to the right, over line .
The diagram below is what he constructed. Explain his error and
correctly draw the image of the figure on the diagram to the right.
10. Given point A(-5, 6), the complete the following transformations to A:
a) T3, 5 __________________________________
b) Ry  axis _________________________________
c) Rx  axis _________________________________
d) Ry  x _________________________________
e) Ry  x _________________________________
f) R(0,0) _________________________________
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