Answers AZ-Common Core Geometry AIntroduction to Transformations

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

(1, –5)

(–4, –10)

(–3, –12)

(3, –12)

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

(3.5, –9.2)

(–2.7, –4.7)

(–5.5, 3.2)

(0.7, –1.3)

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'?

(7, –8)

(–7, 6)

(3, –12)

(2, 1)

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)

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.

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)

The rule as a mapping for the translation of a rectangle is (x, y) → (x – 2, y + 7). Which describes this translation?

a translation of 2 units down and 7 units to the right

a translation of 2 units down and 7 units to the left

a translation of 2 units to the right and 7 units up

a translation of 2 units to the left and 7 units up

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)

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)

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