MathematicsFreePrintable
Coordinate Grid Translations
A free mathematics worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.
Coordinate Grid Translations
📍 Part 1: Understanding Translations
1. A translation is a transformation that:
Slides a shape without changing its size or orientation
Flips a shape over a line
Turns a shape around a point
Changes the size of a shape
2. Which of these are real-life examples of translations? (Check all that apply)
Sliding a book across a table
Opening a door
Moving a chess piece straight across the board
An elevator moving up
3. After a translation, the original figure and the translated figure are:
Congruent (same size and shape)
Similar but different sizes
Completely different shapes
The same figure in the same location
📐 Part 2: Translation Practice
4. A triangle has vertices at A(2, 3), B(4, 3), and C(3, 5). If you translate it 3 units right and 2 units down, what are the new coordinates?
A' = (_____, _____)
B' = (_____, _____)
C' = (_____, _____)
5. Complete the coordinate rule for this translation: "Move 4 units left and 1 unit up"
(x, y) → (x _____ _____, y _____ _____)
6. A rectangle is translated using the rule (x, y) → (x + 5, y - 3). Describe this translation in words:
7. Complete the sentence:
Translations move a shape by _________________ but keep it _________________.
🎯 Part 3: Apply Your Knowledge
8. Draw and label the original triangle with vertices at D(1, 2), E(3, 2), and F(2, 4) on the coordinate grid below. Then translate it 2 units right and 3 units up. Label the new triangle D'E'F'.
9. Explain why the original triangle and the translated triangle are congruent:
10. Extension Challenge: If you translate a shape using the rule (x, y) → (x - 6, y + 4), then translate the result using (x, y) → (x + 2, y - 1), what single translation rule would give the same final result?
Combined rule: (x, y) → (_____, _____)
About This Worksheet
Free in Kuraplan
Sign up free, grab the PDF, and customize it for your class.
Print-Ready
Formatted for standard paper. Clean layout, easy to read.
AI-Generated
Created with Kuraplan's AI, designed for real classroom use.
For Teachers & Parents
Use in classrooms, for homework, tutoring, or homeschool.
Need a custom version of this worksheet?
Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.
Generate Custom Worksheets — Free No credit card Curriculum-aligned Under 60 seconds
