Translate a Shape

When a figure is translated to the right, what happens?

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

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

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

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

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

• (5, 3)

• (3, -5)

• (-5, 3)

• (-3, 5)

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

• 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)

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

(x, y)----> (x + 3, y - 1)

What are the coordinates of K'?

• (6, 3)

• (7, 3)

• (7, 1)

• (5, 3)

Level 3: Point M (-3, 5) is translated using this rule.

(x, y) ----> (x - 1, y)

What are the coordinates of M'?

• (-4, 5)

• (-2, 5)

• (-4, 4)

• None of these

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

• Translated 5 units down and 5 units to the right

• Translated 5 units down and 1 to the right

• Translated 8 units down and 5 units to the right

• Translated 5 units down and 4 units to the right

Answer explanation

If you follow a particular vertice (corner) of the blue figure, it would need to translate down 8 and right 5 units in order to map to (line up with) with that same vertice (corner) of the green figure.

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

• (5, 1)

• (2, -5)

• (-1, 1)

• (8, -2)

Answer explanation

The coordinates of T are (2, -5).

Translating 3 units right means increasing the x value by 3.
Translating 6 units up means increasing the y value by 6.

This means T' will be:

$(2+3,-5+6)\longrightarrow(5,1)$
T' is (5,1)

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

• (5, 3)

• (3, -5)

• (-5, 3)

• (-3, 5)

Answer explanation

J is at (0,1)
Translating 5 left means decreasing x by 5.
Translating up 2 means increasing y by 2.

$\left(0-5,\ 1+2\right)\longrightarrow\ \left(-5,3\right)$
J' is at (-5, 3)

What coordinate notation rule describes the translation? (From pre-image to image)

• (x - 6, y + 2)

• (x - 2, y + 6)

• (x + 2, y - 6)

• (x + 6, y - 2)

Answer explanation

If you follow a particular vertice (corner) of the blue figure, it would need to translate down 6 and right 2 units in order to map to (line up with) with that same vertice (corner) of the green figure.

Translating down 6 decreases the y-value.
Translating right 2 increases the x-value.

For example:
T (-2, 2) -> T' (0, -5)

The rule:

$(x,y)\longrightarrow(x+2,y-6)$

How do you represent a translation Algebraically?

• (-y, -x)

• (x + a, y + b)

• (-x , -y)

• (ax, by)

Answer explanation

Translating results in an increase or decrease to the x and/or y values, depending on the translation direction(s) and number of units.