Rotations Answers

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A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?

A
(x, y) → (x + 5, y – 3)
B
(x, y) → (x + 5, y + 3)
C
(x, y) → (x – 3, y + 5)
D
(x, y) → (x + 3, y + 5)
2
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On a coordinate plane, 2 rectangles are shown. The first rectangle has points A (negative 2, negative 1), B (4, negative 1), C (4, negative 3), D (negative 2, negative 3). The second rectangle has points A prime (negative 5, 1), B prime (1, 1), C prime (1, negative 1), D prime (negative 5, negative 1).

Question illustration
A
T–3, 2(x, y)
B
T2, –3(x, y)
C
T3, 2(x, y)
D
T–2, 3(x, y)
3

Rectangle EFGH is translated according to the rule T–5, 9(x, y). If the coordinates of the pre-image of point H are (–2, –3), what are the coordinates of H'?

A
(7, –8)
B
(–7, 6)
C
(3, –12)
D
(2, 1)
5

On a coordinate plane, a triangle has points A prime (1, 2), B prime (3, negative 3), C prime (negative 1, negative 3).

Question illustration
A
(3.5, –9.2)
B
(–2.7, –4.7)
C
(–5.5, 3.2)
D
(0.7, –1.3)
6

Triangle ABC is translated according to the rule (x, y) → (x + 2, y – 8). If the coordinates of the pre-image of point B are(4, –5), what are the coordinates of B'?

A
(2, 3)
B
(1, –9)
C
(–3, –4)
D
(6, –13)
8

Hexagon DEFGHI is translated 8 units down and 3 units to the right. If the coordinates of the pre-image of point F are(–9, 2), what are the coordinates of F'?

A
(–17, 5)
B
(–6, –6)
C
(–17, –1)
D
(–12, –6)
10

A triangle on a coordinate plane is translated according to the rule T–3, 5(x, y). Which is another way to write this rule?

A
(x, y) → (x – 3, y + 5)
B
(x, y) → (x – 3, y – 5)
C
(x, y) → (x + 3, y – 5)
D
(x, y) → (x + 3, y + 5)
11

On a coordinate plane, 2 parallelograms are shown. The first parallelogram has points A (negative 4, 4), B (negative 2, 4), C (negative 5, 1), D (negative 2, 1). The second parallelogram has points A prime (negative 2, 5), B prime (1, 5), C prime (negative 3, 2), D prime (0, 2).

Question illustration
A
T1, –2(x, y)
B
T1, 2(x, y)
C
T–2, 1(x, y)
D
T2, 1(x, y)
12

A triangle on a coordinate plane is translated according to the rule T–8, 4(x, y). Which is another way to write this rule?

A
(x, y) → (x + 4, y – 8)
B
(x, y) → (x – 4, y – 8)
C
(x, y) → (x – 8, y + 4)
D
(x, y) → (x + 8, y – 4)
13

On a coordinate plane, a triangle has points A (negative 2, negative 2), B (1, negative 5), and C (negative 5, negative 5).

Question illustration
A
(1, –5)
B
(–4, –10)
C
(–3, –12)
D
(3, –12)

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