Mathematics Grade 8 15 min

Translations: find the coordinates

Translations: find the coordinates

What you'll learn

  • Identify the coordinates of a point on a coordinate plane after it has been translated a given number of units horizontally and vertically with 80% accuracy.
  • Apply the rule (x + a, y + b) to determine the new coordinates of a translated point, given the original coordinates and the translation vector (a, b) in at least 4 out of 5 attempts.
  • Explain, using mathematical vocabulary (e.g., translation, coordinate plane, x-axis, y-axis, ordered pair), how a translation affects the coordinates of a point in a written explanation that includes at least 3 accurate and relevant details.
  • Solve problems involving translations of geometric shapes on a coordinate plane, correctly identifying the coordinates of all vertices of the translated shape in 3 out of 4 problems.

Tutorial Preview

1

Find the new coordinates of point A(2, 3) after a translation 4 units right and 1 unit down.

2

Point B(-1, 5) is translated using the rule (x, y) -> (x - 3, y + 2). What are the new coordinates?

3

Triangle CDE has vertex C(1,1). Find vertex C' after a translation 2 units left and 5 units up.

Sample Practice Questions

Easy
Point P(1, 2) is translated 3 units right and 4 units up. What are the new coordinates?
0.(4, 6)
1.(-2, -2)
2.(1, 6)
3.(4, 2)
Easy
Point Q(5, 5) is translated 2 units left and 1 unit down. What are the new coordinates?
0.(7, 6)
1.(3, 4)
2.(3, 6)
3.(7, 4)
Easy
Point R(3, 1) is translated by the rule (x, y) -> (x + 2, y + 5). Find the new coordinates.
0.(1, -4)
1.(5, -4)
2.(5, 6)
3.(1, 6)

Want to practice and check your answers?

Sign up to access all questions with instant feedback, explanations, and progress tracking.

Start Practicing Free

More from Coordinate plane

Mathematics for other grades

Frequently asked questions

What grade level is "Translations: find the coordinates"?

Translations: find the coordinates is a Grade 8 Mathematics lesson on ExcelOS.

What will I learn in Translations: find the coordinates?

You'll be able to: Identify the coordinates of a point on a coordinate plane after it has been translated a given number of units horizontally and vertically with 80% accuracy; Apply the rule (x + a, y + b) to determine the new coordinates of a….

Is "Translations: find the coordinates" free to practice?

Yes. You can read the tutorial preview for free, and signing up for a free ExcelOS account unlocks the full tutorial and all practice questions with instant feedback.

How many practice questions are included with Translations: find the coordinates?

This lesson includes 25 practice questions across multiple difficulty levels, each with instant feedback and explanations.

Ready to find your learning gaps?

Take a free diagnostic test and get a personalized learning plan in minutes.