Answers GCSS_GA-Geometry Concepts and Connections_ICReflections

Week 3: Translations Answers

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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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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, 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)

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).

Rectangle ABCD has vertices A(–6, –2), B(–3, –2),C(–3. –6), and D(–6, –6). The rectangle is translated so that the coordinates of the image are A’(–10, 1), B’(–7,1),C’(–7, –3), and D’(–10, –3).

T–4, 3(x, y)

T–4, 1(x, y)

T4, –1(x, y)

T4, –3(x, y)

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?

(x, y) → (x + 4, y – 8)

(x, y) → (x – 4, y – 8)

(x, y) → (x – 8, y + 4)

(x, y) → (x + 8, y – 4)

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Week 3: Translations Answers

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