Describe Dilations and Find the Scale Factor
Written by Adi Ackerman, Head Teacher
"Describe Dilations and Find the Scale Factor" 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.


8th grade math worksheet: find the scale factor k of dilations from the origin and label each one an enlargement or a reduction. 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 compare image and original coordinates to find the scale factor k.
- Students will label each dilation as an enlargement or a reduction.
- Students will connect a scale factor greater than 1 with an enlargement and less than 1 with a reduction.


Translate Figures on the Coordinate Plane


Rotate Figures About the Origin


Reflect Figures Across the Axes and Lines


Dilate Figures From the Origin


Describe Translations With Coordinate Rules


Describe Rotations From Before and After Graphs


Describe Reflections and Name the Line

Design a Park Layout With Transformations
Curriculum Links
Common Core State Standards
Geometry · 8th Grade
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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Find the scale factor k of dilations from the origin and label each one an enlargement or a reduction. The directions on the page read: Each graph shows a figure and its image after a dilation centered at the origin. Find the scale factor k. Then write enlargement or reduction. 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
| Grade | 8th Grade |
| Subject | Math |
| Topic | Transformations |
| Standard | 8.G.A.3 |
| Pages | 1 page |
| Difficulty | Medium |
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Translate Figures on the Coordinate Plane


Rotate Figures About the Origin


Reflect Figures Across the Axes and Lines


Dilate Figures From the Origin


Describe Translations With Coordinate Rules


Describe Rotations From Before and After Graphs


Describe Reflections and Name the Line

Design a Park Layout With Transformations