AnswersGCSS_GA-Geometry Concepts and Connections_ICReflections

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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)
2
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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)
3

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)
4

Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options.

A
The rule for the translation can be written as T–5, 3(x, y).
B
The rule for the translation can be written as T3, –5(x, y).
C
The rule for the translation can be written as(x, y) → (x + 3, y – 3).
D
The rule for the translation can be written as(x, y) → (x – 3, y – 3).
E
Triangle ABC has been translated 3 units to the right and 5 units down.
5

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)
6

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)
7

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)
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)
9

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
10

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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