Practice C 12-4 - Parkland School District

Name Date Class
LESSON
12-4
Practice C
Graphing Reflections
Give the coordinates of the vertices of
each figure after the given reflection.
1. Reflect rectangle FGHJ across the
y-axis.
8
4
y
x
2. Reflect rectangle FGHJ across the
x-axis.
8
4
O F 4 8
4
G
8
J
H
3. Reflect pentagon ABCDE across the
x-axis.
B
8
y
A
C
E
D
x
8
4
O 4 8
4. Reflect pentagon ABCDE across the
y-axis.
4
8
y
5. After reflection, the coordinates for
the vertices of hexagon PQRSTU are
P'(1, 6), Q'(1, 4), R'(3, 2), S'(5, 2),
T'(7, 5), U'(4, 6). Over which axis was
the hexagon reflected
8
4
4
8
x
6. Complete this statement to describe
how a reflection over the y-axis
changes any point in a figure:
(a, b) (, ).
8
4
O R S
4
Q
8
P U
T
Copyright © by Holt, Rinehart and Winston.
39 Holt Middle School Math Course 1
All rights reserved.

LESSON
12-4
Practice B
Graphing Reflections
Give the coordinates of the vertices of
each figure after the given reflection.
1. Reflect XYZ across the x-axis.
X'(2, 1); Y'(2, 7);
Z'(6, 2)
2. Reflect XYZ across the y-axis.
X'(2, 1); Y'(2, 7);
Z'(6, 2)
3. Reflect ABC across the x-axis.
A'(6, 4); B'(2, 1);
C'(4, 7)
4. Reflect ABC across the y-axis.
A'(6, 4); B'(2, 1);
C'(4, 7)
5. Reflect square FGHJ across the
y-axis.
F'(4, 4); G'(4, 7);
H'(1, 7); J'(1, 4)
6. Reflect square FGHJ across the
x-axis.
F'(4, 4); G'(4, 7);
H'(1, 7); J'(1, 4)
8
B
8 4 O 4 8
A 4
8
4 O X 4 8
Z
4
G
F
4
8
4
8
8
4
C
8
H
J
O 4 8
4
8
y
Y
y
y
x
x
x
LESSON
12-4
Practice C
Graphing Reflections
Give the coordinates of the vertices of
each figure after the given reflection.
1. Reflect rectangle FGHJ across the
y-axis.
F'(2, 2); G'(10, 2);
H'(10, 6); J'(2, 6)
2. Reflect rectangle FGHJ across the
x-axis.
F'(2, 2); G'(10, 2);
H'(10, 6); J'(2, 6)
3. Reflect pentagon ABCDE across the
x-axis.
A'(5, 4); B'(3, 6);
C'(2, 4); D'(3, 1);
E'(5, 1)
4. Reflect pentagon ABCDE across the
y-axis.
A'(5, 4); B'(3, 6); C'(2, 4);
D'(3, 1); E'(5, 1)
5. After reflection, the coordinates for
the vertices of hexagon PQRSTU are
P'(1, 6), Q'(1, 4), R'(3, 2), S'(5, 2),
T'(7, 5), U'(4, 6). Over which axis was
the hexagon reflected
x-axis
6. Complete this statement to describe
how a reflection over the y-axis
changes any point in a figure:
(a, b) (, ).
8
E D
8 4 O 4 8
4
8
A
8
4
4 O F 4 8
4
8
8
B
C
8
8
y
J
y
y
4
4 8
4 O R S
Q
4
T
P
8
U
x
G
H
x
x
(a, b)
Copyright © by Holt, Rinehart and Winston.
38 Holt Middle School Math Course 1
All rights reserved.
Copyright © by Holt, Rinehart and Winston.
39 Holt Middle School Math Course 1
All rights reserved.
LESSON
12-4
Reteach
Graphing Reflections
A reflection is an imaged flipped over a line. A figure can be
reflected across the x-axis or the y-axis on a coordinate plane.
Reflect the triangle across the x-axis.
X(8, 8)
8
Y(1, 6)
4
Z(5, 2)
8 4 O 4 8
4
8
X (8, 8) X'(8, 8)
Y (1, 6) Y'(1, 6)
Z (5, 2) Z'(5, 2)
1. Reflect figure ABCD across the
x-axis.
A'(6, 9); B'(7, 1);
y
C'(4, 4); D'(2, 4)
2. Reflect figure ABCD across the
y-axis.
A'(6, 9); B'(7, 1);
C'(4, 4); D'(2, 4)
x
8
4
Z(5, 2) O 4 8
4
Y(1, 6)
8
X(8, 8)
Give the coordinates of the vertices of each figure after the
given reflection.
To find the coordinate of the vertices of
the reflected figure, follow these rules.
The x-coordinates is the same and the
y-coordinates changes to its opposite.
8
8
y
D (2, 4)
4
B (7, 1)
x
4 O 4 8
4
C(4, 4)
8
y
A(6, 9)
x
LESSON
12-4
Challenge
Math Reflections
STEP 1: Use the given endpoints to graph these 12 line segments
on the coordinate plane below.
STEP 2: Reflect the line segments across the x-axis.
STEP 3: Reflect the new line segments across the y-axis.
STEP 4: Reflect the new line segments across the x-axis.
(1, 4), (1, 8) (4, 5), (6, 5) (8, 8), (8, 4) (3, 8), (3, 4)
(10, 4), (10, 8) (7, 8), (9, 8) (1, 8), (2, 6) (10, 6), (12, 6)
(5, 8), (6, 4) (2, 6), (3, 8) (12, 4), (12, 8) (4, 4), (5, 8)
1210 8
10
8
6
4
y
2
x
6 4 2 O 2 4 6 8 10 12
2
4
6
8
10
Copyright © by Holt, Rinehart and Winston.
40 Holt Middle School Math Course 1
All rights reserved.
Copyright © by Holt, Rinehart and Winston.
41 Holt Middle School Math Course 1
All rights reserved.
Copyright © by Holt, Rinehart and Winston.
76 Holt Middle School Math Course 1
All rights reserved.