4.1 Translations

​4.1 Translation

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"Consistency Translates into Success ."

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Multiple Choice

How do you represent a translation algebraically? #5

• (x, y) → (-y, -x)

• (x,y) → (x + a, y + b)

• (x, y) → (-x , -y)

• (x, y) → (ax, by)

Multiple Choice

Determine where X' would be if you translated X 3 units to the left and 9 units down. #2

• (-4, 4)

• (-10, 2)

• (-4, -5)

• (-1, 5)

Multiple Choice

Determine where T' would be if you translated T 3 units to the right and 6 units up. #3

• (5, 1)

• (2, -5)

• (-1, 1)

• (8, -2)

Multiple Choice

Where would point J' be if you translated point J 5 units to the left and 2 units up? #4

• (5, 3)

• (3, -5)

• (-5, 3)

• (-3, 5)

Multiple Choice

Level 1: When a figure is translated down what happens? #13

• The x-coordinate gets smaller (subtract from x)

• The y-coordinate gets smaller (subtract from y)

• The x-coordinate gets larger (add to x)

• The y-coordinate gets larger (add to y)

Multiple Choice

Level 2: What is true about the image and pre-image in a translation? #15

• The image is larger than the pre-image

• The image is smaller than the pre-image

• The image and pre-image are congruent (or the same size)

Multiple Choice

How is Quadrilateral EFGH translated to E'F'G'H'? #6

• 6 down

• 6 down, 1 right

• 6 down, 3 left

• 8 down, 1 right

Multiple Choice

What transformation is happening?

(x, y) → (x + 2, y - 3) #7

• slide up 2, left 3

• slide right 2, up 3

• slide right 2, down 3

• slide left 3, right 2

Multiple Choice

Level 3: Point K (4, 2) is translated using this rule:

(x, y) → (x + 3, y - 1)

What are the coordinates of K'? #14

• (6, 3)

• (7, 3)

• (7, 1)

• (5, 3)

Multiple Choice

What happens to the point (-9, 3) when it is translated 4 units down and 3 units right? #10

• (-6, -1)

• (-13, 6)

• (-5, 6)

• (-6, 7)

Multiple Choice

Determine how to translate triangle A'B'C' to triangle ABC. #1

HINT: REMEMBER TO GO FROM THE IMAGE TO THE PRE-IMAGE

• (x, y) →(x+2, y-5)

• (x, y) →(x+2, y-9)

• (x, y) →(x-2, y-9)

Multiple Choice

Describe the translation of Point A (3, -8) to A'(-4, -5). #17

• (x, y) → (x-4, y-5)

• (x, y) → (x+7, y-3)

• (x, y) → (x-7, y+3)

• (x, y) → (x-3, y+7)

Multiple Choice

If a translation of (x, y) → (x + 6, y – 10) is applied to figure ABCD, what are the coordinates of D'? #19

HINT: Point D is (-5,-2)

• (–5, –2)

• (1, –12)

• (4, –15)

• (–9, –6)

Multiple Choice

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)? #20

HINT: DO THE OPPOSITE OPERATION OF THE RULE

• (13, –23)

• (5, 7)

• (18, 1)

• (–6, –4)

Multiple Select

Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options. #25

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

• The rule for the translation can be written as(x, y) → (x+ 3, y -5).

• 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.