Dilations Reference Sheet
Written by Adi Ackerman, Head Teacher
"Dilations Reference Sheet" is written for 8th Grade (Ages 13-14), and it covers Common Core 8.G.A.3. It also works a grade below or above, as a tool for a student who is ready for it or a quick refresher for an older one.
8th grade math resource: dilations from the origin with the rule (kx, ky), a scale factor 2 example and what each value of k does. Part of our reference sheets transformations collection. Aligned to Common Core standards.
How do I use this resource?
Print the sheets as handouts or post them in the room while students work on transformation practice. Students can check their own coordinate rules against the examples.
What students will practice
- Students will read the dilation rule that multiplies every coordinate by k.
- Students will see how a scale factor of 2 moves A(1, 2) to A′(2, 4).
- Students will tell when k makes an image larger, smaller or the same size.
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
Describe Dilations and Find the Scale Factor
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 the Dilations Reference Sheet?
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Print the sheets as handouts or post them in the room while students work on transformation practice. Students can check their own coordinate rules against the examples.
What is the Dilations Reference Sheet?
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Dilations from the origin with the rule (kx, ky), a scale factor 2 example and what each value of k does.
Can I use the Dilations Reference Sheet at home and in the classroom?
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Yes. We made it for 8th Grade transformations, and it works the same at home or at school. At home a student can print it and keep it with their school work. Teachers print a copy per student or one for the whole room, whichever the day needs.
What is on each transformation reference sheet?
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Each sheet defines the transformation, shows a triangle and its image on a grid, and gives the coordinate rule with a table of original and image points. The reflections sheet also lists what a reflection keeps the same.
Do the reference sheets have answer keys?
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No. They are reference pages, not practice sheets, so there is nothing to grade. Pair them with the Transforming figures practice sheets, which do have answer keys.
Which rotation rules are on the Rotations Reference Sheet?
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It shows 90°, 180° and 270° counterclockwise turns about the origin, with the rules (−y, x), (−x, −y) and (y, −x). Each rule comes with a graph and a table of points.
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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
Describe Dilations and Find the Scale Factor