GRADE 7 MATHEMATICS (7.7) Geometry and spatial reasoning. The student uses coordinate geometry to describe location on a plane. (B) graph reflections across the horizontal or vertical axis and graph translations on a coordinate plane.
The student is expected to:
ΔABC is graphed below and is to be translated.
If A is translated to A' (–2, 1) what would be the coordinates of B' and C'? B' (
,
)
C' (
,
)
Describe the translation in words. y 9 8 7
C
6 5 4 3
A
2 1
-9 -8
-7 -6 -5 -4 -3
-2
-1
. 0
1
2
3
4
5
6
7
8
9
x
-1 -2 -3
B
-4 -5 -6 -7 -8 -9
1. What mathematical concepts and vocabulary do I need to know to be able to work this problem?
2. Will the Grade 7 Mathematics Formula Chart be helpful on this problem? Why or why not?
3. Will a picture or diagram be helpful on this problem? If so, how?
4. What problem-solving strategy or strategies will I use to help solve this problem?
5. Extension (7.7B): If ABC is to be translated so that it is contained entirely in Quadrant I, what is the least movement that will accomplish this task? TEKSING TOWARD TAKS © 2006
Page 1
GRADE 7 MATHEMATICS (7.7) Geometry and spatial reasoning. The student uses coordinate geometry to describe location on a plane. (B) graph reflections across the horizontal or vertical axis and graph translations on a coordinate plane.
The student is expected to:
ΔABC is graphed below and is to be translated. If A is translated to A'(–2, 1) what would be the
coordinates of B' and C'? B' (
,
)
C'(
,
)
Describe the translation in words. y 9 8 7 6
C
5 4
A
3 2
-9 -8 -7 -6
-5
-4- -3 -2 -1
1 0
1 2
3
4
5
6
7
8
9
x
-1 -2
B
-3 -4 -5 -6 -7 -8 -9
TEKSING TOWARD TAKS © 2006
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GRADE 7 MATHEMATICS (7.7) Geometry and spatial reasoning. The student uses coordinate geometry to describe location on a plane. (B) graph reflections across the horizontal or vertical axis and graph translations on a coordinate plane.
If triangle ABC is translated 4 units down, what will be the coordinates of the triangle A'B'C' ? y
The student is expected to:
If the polygon shown below is translated 3 units right, what will be the new coordinates of point F? y 9
9
B
8
8
F
7
A
6
5 4
5 4 3
3 2
-7 -6 -5 -4 -3
-2 -1
E
C
1 -9 -8
0
1
2
3
4
5
6
7
8
9
2 1
x
-9 -8
-7 -6 -5 -4 -3
-2
-1
-1
-2
-3
-3
-4
-4
-5
-5
-6
-6
-7
-7
-8
-8
-9
-9
A
A' (-4, 2), B' (2, 3), C' (2, -2)
A
(-6, 3)
B
A' (-4, 1), B' (2, 3), C' (2, -2)
B
(-3, 6)
C
A' (0, 5), B' (6, 7), C' (6, 2)
C
(-5, 2)
D
A' (-4, 9), B' (2, 11), C' (2, 6)
D
(8, -2)
If point Q is translated to point Q' which statement describes the translation? y
7
Q' 1
2
3
4
5
6
7
8
9
-9 -8
-2
-1
0
-4
-4
-5
-5
-6
-6
-7
-7
-8
-8
-9
-9
Right 5 units up 3 units
D
Right 4 units up 3 units
x
H
G
TEKSING TOWARD TAKS Š 2006
1
2
3
4
5
6
7
8
9
-1 -2
C
9
1 -7 -6 -5 -4 -3
-3
Left 4 units down 3 units
8
2
E
x
-3
B
7
3
-2
Left 5 units down 3 units
6
5 4
-1
A
5
6
1 0
4
7
2
-2 -1
3
8
Q
6
-7 -6 -5 -4 -3
2
9
F
8
3
1
If the polygon shown below is translated 2 units left, what will be the new coordinates of point G? y
9
-9 -8
0 -1
-2
5 4
G
7
6
A
(5, 4)
B
(3, -2)
C
(4, 5)
D
(-10, 2)
H
Page 3
x
GRADE 7 MATHEMATICS (7.7) Geometry and spatial reasoning. The student uses coordinate geometry to describe location on a plane. (B) graph reflections across the horizontal or vertical axis and graph translations on a coordinate plane.
A triangle is graphed below.
The student is expected to:
y 9 8 7 6 5 4 3 2
x
1 -9 -8
-7 -6 -5 -4 -3
-2 -1
0 -1
1
2
3
4
5
6
7
8
9
-2 -3 -4 -5 -6 -7 -8 -9
Which of the following is a translation of the triangle above? y
y
9
9
8
8
7
7
6
6
5
5
4
4
3
3
2
A
2
1 -9 -8
-7 -6
-5
-4 -3
-2
-1
0
1
2
3
4
5
6
7 8
9
x
C
1 -9 -8
-7 -6
-5 -4 -3 -2
-1
-1
0 -1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
-7
-7
-8
-8
-9
-7 -6
-5 -4 -3
-2
-1
9
9
8
8
7
7
6
6
5
5
4
4
3
3
2
2
0 -1
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
x
y
1 -9 -8
2
-9
y
B
1
1
2
3
4
5
6
7
8
9
x
1
D
-9 -8
-7 -6 -5 -4 -3
-2
-1
0 -1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
-7
-7
-8
-8
-9
-9
TEKSING TOWARD TAKS Š 2006
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