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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.HSG.CO.A.2

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)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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:

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

Tags

CCSS.HSG.CO.A.2