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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).

T–3, 2(x, y)

T2, –3(x, y)

T3, 2(x, y)

T–2, 3(x, y)

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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'?

(–17, 5)

(–6, –6)

(–17, –1)

(–12, –6)

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

LL'=PP'

LL'=MM'

Trapezoid LMNP is congruent to trapezoid L'M'N'P'.

NN'=PP'

All line segments that connect a point on the pre-image to its corresponding point on the image are parallel.

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).

T1, –2(x, y)

T1, 2(x, y)

T–2, 1(x, y)

T2, 1(x, y)

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)?

(13, –23)

(5, 7)

(18, 1)

(–6, –4)

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

(x, y) → (x + 5, y – 3)

(x, y) → (x + 5, y + 3)

(x, y) → (x – 3, y + 5)

(x, y) → (x + 3, y + 5)

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).

(–5, –2)

(1, –12)

(4, –15)

(–9, –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?

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).

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).

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).

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).

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'?

(2, 3)

(1, –9)

(–3, –4)

(6, –13)

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

The rule for the translation can be written as T–5, 3(x, y).

The rule for the translation can be written as T3, –5(x, y).

The rule for the translation can be written as(x, y) → (x + 3, y – 3).

The rule for the translation can be written as(x, y) → (x – 3, y – 3).

Triangle ABC has been translated 3 units to the right and 5 units down.

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