5A: Translations

Front

What does a translation do to an image?

Back

Slides it

Answer explanation

Translations are like "transporting" a figure on the coordinate plane. It maintains shape and size. Only position changes.

Front

Translate the blue shape to the green shape. Options:

3 Left

3 Down

,

3 Right

3 Up

,

2 Right

3 Up

,

2 Left

3 Down

Back

3 Left

3 Down

Answer explanation

If you follow a particular vertice (corner) of the blue figure, it would need to translate down 3 and left 3 units in order to map to (line up with) with that same vertice (corner) of the green figure.

Front

Translate the blue shape to the green shape.

Back

5 Right, 2 Up

Answer explanation

If you follow a particular vertice (corner) of the blue figure, it would need to translate up 2 and right 5 units in order to map to (line up with) with that same vertice (corner) of the green figure.

Front

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

Back

Translated 8 units down and 5 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.

Front

Translate T 3 units to the right and 6 units up. Options: (5, 1), (2, -5), (-1, 1), (8, -2)

Back

(5, 1)

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)

Front

Translate point J 5 units to the left and 2 units up. Where would point J' be?

Back

(-5, 3)

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)

Front

How do you represent a translation Algebraically? Options:

(-y, -x)

,

(x + a, y + b)

,

(-x , -y)

,

(ax, by)

Back

(x + a, y + b)

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.

Front

What does this transformation say to do? (x, y) -----> (x, y +4)

Back

Translate up 4

Answer explanation

(x, y) -----> (x, y +4)

If the y-value increases by 4, this will be higher (up) on the graph. As a result, the point/figure will translate up by 4.

Front

What transformation is happening? (x, y) ----> (x + 2, y - 3)

Back

Translate right 2, down 3

Answer explanation

(x, y) ----> (x + 2, y - 3)

If the x-value increases by 2, this will be further right on the graph. As a result, the point/figure will translate right by 2.

If the y-value decreases by 3, this will be lower (down) on the graph. As a result, the point/figure will translate down by 3.

Front

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

(x - 6, y + 2)

,

(x - 2, y + 6)

,

(x + 2, y - 6)

,

(x + 6, y - 2)

Back

(x + 2, y - 6)

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:

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