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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)
2
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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)
3

For the transformation to be a translation, which statements must be true? Select four options.

A
LL'=PP'
B
LL'=MM'
C
Trapezoid LMNP is congruent to trapezoid L'M'N'P'.
D
NN'=PP'
Option D
E
All line segments that connect a point on the pre-image to its corresponding point on the image are parallel.
4

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)
5

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)
6

Triangle ABC was translated according to the rule (x, y) → (x + 1.5, y – 3.5) to create the image ΔA'B'C' shown on the coordinate plane.Which graph shows the pre-image, ΔABC?

Question illustration
A
On a coordinate plane, a triangle has points A (0.5, negative 1.5), B (0.5, negative 4.5), C (negative 3.5, negative 4.5).
Option A
B
On a coordinate plane, a triangle has points A (2.5, 0.5), B (2.5, 2.5), C (negative 1.5, negative 2.5).
Option B
C
On a coordinate plane, a triangle has points A (negative 4.5, 3.5), B (negative 4.5, 0.5), C (negative 8.5, 0.5).
Option C
D
On a coordinate plane, a triangle has points A (negative 2.5, 5.5), B (negative 2.5, 2.5), C (negative 6.5, 2.5).
Option D
7

Square ABCD was translated using the rule (x, y) → (x – 4, y + 15) to form A'B'C'D'. What are the coordinates of point D in the pre-image if the coordinates of point D’ in the image are (9, –8)?

A
(13, –23)
B
(5, 7)
C
(18, 1)
D
(–6, –4)
8

On a coordinate plane, a parallelogram has points A (negative 3, 4), B (3, 4), C (1, negative 2), and D (negative 5, negative 2).

Question illustration
A
(–5, –2)
B
(1, –12)
C
(4, –15)
D
(–9, –6)
9

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)
10

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)

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