RTI 4.1 Translations

​RTI 4.1 Translation

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"There is no elevator to SUCCESS. You have to take the STAIRS."

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​-Unkown

Multiple Choice

What does a translation do to an image? #12

• Turns it 90* clockwise

• Mirrors it

• Shrinks it

• Slides it

Multiple Choice

Translate the blue shape to the pink shape... #1

• 5 Right

  2 Down

• 5 Left

  2 Up

• 3 Right

  1 Down

• 3 Left

  1 Up

Multiple Choice

The original figure prior to a transformation. #5

• Pre-image

• Image

Multiple Choice

What type of transformation is shown by this rule? #6

(x, y) → (x + 3, y)?

• Rotation

• Reflection

• Translation

• Dilation

Multiple Choice

What is the algebraic notation of a figure that is translated 6 units right and 5 units up? #9

• (x, y) →(x - 6, y + 5)

• (x, y) → (x + 6, y + 5)

• (x, y) → (x + 5, y - 6)

• (x, y) → (6x, 5y)

Multiple Choice

A transformation in which a graph or geometric figure is picked up and moved to another location without any change in size or orientation. #11

• Translation

• Rotation

• Reflection

• Dilation

Multiple Choice

When you translate, you ______ a number to x and y. #15

• Add or subtract

• Multiply or divide

• Add or multiply

• Subtract or divide

Multiple Choice

Original point: (8, -4)

New point: (5, -1)

What is the algebraic rule? #17

• (x, y) → (x + 3, y + 3)

• (x, y) → (x - 3, y + 3)

• (x, y) → (x - 3, y - 3)

• (x, y) → (x + 3, y - 3)

Multiple Choice

Square RSTU is translated to form R'S'T'U', which has vertices R'(–8, 1), S'(–4, 1), T'(–4, –3), and U'(–8, –3). If point S has coordinates of (3, –5), which point lies on a side of the pre-image, square RSTU? #21

HINT: THE ALGEBRAIC RULE IS (x,y) → (x-7,y+6)

• (–5, –3)

• (3, –3)

• (–1, –6)

• (4, –9)

Multiple Select

Rectangle A'B'C'D' is the image of rectangle ABCD after it has been translated according to the rule (x,y)→ ( x–4, y+3). #24

Which points are vertices of the pre-image, rectangle ABCD? Select four options.

• (–1, –2)

• (7, 1)

• (–1, 7)

• (–1, 1)

• (7, –2)

Multiple Choice

The rule as a mapping for the translation of a rectangle is (x, y) → (x – 2, y + 7). Which describes this translation? #25

• 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

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'? #26

• (6, 3)

• (7, 3)

• (7, 1)

• (5, 3)

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)? #29

HINT: DO THE OPPOSITE OPERATION OF THE RULE

• (13, –23)

• (5, 7)

• (18, 1)

• (–6, –4)

Multiple Choice

What is the translation rule that maps the point P (-2, 5) to the point P' (0, 2)? #30

• $$\left(x,\ y\right)\rightarrow\left(x\ +\ 2,\ y\ -\ 3\right)$$  

• $$\left(x,\ y\right)\rightarrow\left(x\ -\ 2,\ y\ +\ 3\right)$$  

• $$\left(x,\ y\right)\ \rightarrow\ \left(x-3,\ y\ +\ 2\right)$$  

• $$\left(x,\ y\right)\ \rightarrow\ \left(x-3,\ y\ -\ 2\right)$$