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Translate Figures on the Coordinate Plane

Written by Adi Ackerman, Head Teacher

"Translate Figures on the Coordinate Plane" is written for 8th Grade (Ages 13-14), and it covers Common Core 8.G.A.3. A 7th grader who is already steady on transformations can use it too, and an older student can use it as a short review.

Popular with 8th Grade teachers · Downloaded 372 times
Translate Figures on the Coordinate Plane
Translate Figures on the Coordinate Plane

8th grade math worksheet: translate triangles and quadrilaterals by rules such as (x + 6, y − 3) and write each image vertex. Answer key included. Part of our transforming figures transformations collection. Aligned to Common Core standards.

How do I use this worksheet?

Pair each drawing sheet with its describing sheet, such as Rotate Figures About the Origin with Describe Rotations From Before and After Graphs. Keep the reference sheets nearby and finish with the park task.

What students will practice

  • Students will translate figures on a coordinate grid by a given rule.
  • Students will draw and label each image with prime notation such as A′.
  • Students will write the coordinates of every image vertex.


Curriculum Links

Common Core State Standards

Geometry · 8th Grade

8.G.A.3

Standard: Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.

View all 8.G.A.3 worksheets →

Find this in the curriculum

Browse the grade, subject, and topic this belongs to.

FAQ

How do I use this transforming figures worksheet?

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Pair each drawing sheet with its describing sheet, such as Rotate Figures About the Origin with Describe Rotations From Before and After Graphs. Keep the reference sheets nearby and finish with the park task.

What does this worksheet teach?

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Translate triangles and quadrilaterals by rules such as (x + 6, y − 3) and write each image vertex. The directions on the page read: Translate each figure by its rule. Draw the image on the same grid and label its vertices. Write the coordinates of each image vertex. An answer key is included.

Can I use this transforming figures worksheet for homeschool or classroom?

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Yes, both. We made it for 8th grade transformations, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.

What is the coordinate rule for a reflection across the x-axis?

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(x, y) becomes (x, −y), so x stays the same and y changes to its opposite. Across the y-axis the rule is (x, y) to (−x, y). Reflect Figures Across the Axes and Lines also includes the line y = x.

How do you dilate a figure from the origin?

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Multiply each coordinate by the scale factor k. With k = 2, the point (1, 2) moves to (2, 4). A k greater than 1 enlarges the figure and a k between 0 and 1 reduces it.

How do you describe a translation from a graph?

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Pick a vertex and count how far it moved left or right and up or down to its image. Write those moves as a rule such as (x + 6, y − 3). Describe Translations With Coordinate Rules has students write the rule and the units moved.

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Worksheet Details

Grade8th Grade
SubjectMath
TopicTransformations
Standard8.G.A.3
Pages1 page
DifficultyMedium

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