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Translations on Coordinate Plane - Printable Mathematics Worksheets grade 7 - Wayground

Translations on Coordinate Plane

20 questions

7th - 7th Grade

Mathematics

Translations on Coordinate Plane is a Grade 7 mathematics worksheet with 20 multiple-choice questions focused on translating points and figures on the coordinate plane. Students identify translation as a slide, distinguish images from pre-images, determine horizontal and vertical movements, and calculate new coordinates after positive or negative changes in x and y. Several items require students to read translated shapes, use a figure’s center, or select the rule that maps one figure to another. This worksheet helps students connect visual movement with coordinate notation and ordered-pair calculations. It is useful for introducing or reinforcing how translations affect points, triangles, squares, circles, and trapezoids without changing their orientation or size. Teachers can use it for independent practice, review, or a quick check of students’ ability to interpret movement in both directions. The worksheet is available as a free printable worksheet and includes an answer key for efficient checking.

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Translations on Coordinate Plane

Total questions: 20

Name
Class
Date
1.

Which of the following means translation?

a)

flip

b)

turn

c)

slide

d)

expand

2.

If point a were translated +7 in the x-direction and +3 in the y-direction, where would the point end up?

a)

Point A

b)

Point B

c)

Point C

d)

Point D

3.

How many units in the y-direction would the red square have to move to end up exactly where the blue square is?

a)

-5

b)

0

c)

+8

d)

+11

4.

What best describes how the yellow triangle is translated to end up where the red triangle is?

a)

to the right 6 , up 10

b)

to the right 10, up 6

c)

to the right 7, up 11

d)

to the right 6, up 9

5.

Which pair of shapes shows a translation?

a)
b)
c)
d)
6.

Point A located at (8 , 5) is translated -7 units in the x-direction and -5 in the y-direction. What are the new coordinates?

a)

(1 , 1)

b)

(1 , 0)

c)

(2 , 0)

d)

(3 , -2)

7.

Triangle A was translated to triangle B. How was it translated?

a)

+10 in x-direction , -3 in y-direction

b)

+ 10 in x-direction, -4 in y-direction

c)

+9 in x-direction , -3 in y-direction

d)

+11 in x-direction , -3 in y-direction

8.

Point W located at (-5 , -5) is translated -5 in the x-direction and +5 in the y-direction. What are the new coordinates?

a)

(0 , -10)

b)

(0 , 0)

c)

(-10 , -10)

d)

(-10 , 0)

9.

How many units in the x-direction was the circle on the left translated? (Hint, use the circle's center.)

a)

+13

b)

+11

c)

+14

d)

+12

10.

A point originally located at (-1 , 3) was translated to the location (3 , 8) on the coordinate plane. What was the change in x and the change in y?

a)

+3 in the x-values and +5 in the y-values

b)

+2 in the x-values and +5 in the y-values

c)

+4 in the x-values and +5 in the y-values

d)

+5 in the x-values and + 5 in the y-values

11.
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
a)
Translated 5 units down and 5 units to the right
b)
Translated 5 units down and 1 to the right
c)
Translated 8 units down and 5 units to the right
d)
Translated 5 units down and 4 units to the right
12.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
(x+2, y-5)
b)
(x+2, y-9)
c)
(x-2, y-9)
13.
How would you translate point P to P'?
a)
Translate 2 units to the right and  8 units down
b)
Translate 3 units down and 2 units to the right
c)
Translate 4 units down and 4 units to the left
d)
Translate 8 units to the right and 2 units down
14.
The result of a transformation.
a)
Pre-image
b)
Image
15.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
16.
What transformation is happening?
(x, y) ----> (x + 2, y - 3) 
a)
slide up 2, left 3
b)
slide right 2, up 3
c)
slide right 2, down 3
d)
slide left 3, right 2
17.
Write the rule for this translation:
Slide 3 up and 2 right
a)
(x, y)---->(x + 3, y + 2)
b)
(x, y)-----> (x+2, y + 3)
c)
(x, y)----> (x - 2, y + 3)
18.

When translating left or right on a coordinate plane, what coordinate is affected?

a)

x-coordinate

b)

y-coordinate

19.

When translating up or down on a coordinate plane, what coordinate is affected?

a)

x-coordinate

b)

y-coordinate

20.
Translation are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
Answer Key

Translations on Coordinate Plane

Total questions: 20

1.
c)

slide

2.
b)

Point B

3.
d)

+11

4.
a)

to the right 6 , up 10

5.
c)
6.
b)

(1 , 0)

7.
a)

+10 in x-direction , -3 in y-direction

8.
d)

(-10 , 0)

9.
a)

+13

10.
c)

+4 in the x-values and +5 in the y-values

11.
c) Translated 8 units down and 5 units to the right
12.
b) (x+2, y-9)
13.
a) Translate 2 units to the right and  8 units down
14.
b) Image
15.
a) Pre-image
16.
c) slide right 2, down 3
17.
b) (x, y)-----> (x+2, y + 3)
18.
a)

x-coordinate

19.
b)

y-coordinate

20.
a) Congruent

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FAQs

What does the Translations on Coordinate Plane worksheet cover?

This Grade 7 mathematics worksheet uses 20 multiple-choice questions to practise translating points and geometric figures on the coordinate plane. Students identify translations as slides, find horizontal and vertical movement, calculate new coordinates, interpret translation rules such as (x+2, y-9), and distinguish an image from a pre-image.

How can I use this worksheet to teach translations on a coordinate plane?

Begin by modelling a slide of one point or figure and connect the movement to changes in x and y. Then have students use the worksheet’s coordinate questions to calculate new locations before applying the same reasoning to translated triangles, squares, circles, and trapezoids. Ask students to explain how they know whether a movement is right, left, up, or down and how the ordered pair confirms it.

What mistakes should I watch for when students complete this translation worksheet?

Students may reverse the signs of the x- or y-change, apply a horizontal movement to the y-coordinate, or subtract when a point moves right or up. They may also confuse the original pre-image with the resulting image or select a rule with the correct distances in the wrong directions. For shape-based items, check that students compare corresponding points or centers rather than estimating from the overall appearance.

How do I assign and grade this translations worksheet?

On Wayground, you can assign Translations on Coordinate Plane as a printable PDF or as a digital quiz. The worksheet includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format can also support schools that are reducing screen time while students practise coordinate translations.

How can I differentiate this coordinate-plane translation worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or choose a larger font size so coordinate pairs, movement choices, and translated-figure diagrams are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language when those options support access to the multiple-choice questions.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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