Reflection With Coordinates

Year 5 MathsReflection and Translation3 pages

About this worksheet

Year 5 reflection on a coordinate grid from 0 to 10, over three pages. Task 1 has a triangle and a rectangle to reflect in the line x = 5, each with a table for the new coordinates. Task 2 reflects a triangle in the line y = 5 and asks what happens to the y-coordinate and the x-coordinate. Page 3 is the answer key and lists every reflected vertex. It follows the England National Curriculum for position and direction, in the first quadrant.

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Curriculum objectives covered

Geometry - position and direction

โ€œidentify, describe and represent the position of a shape following a reflection or translation, using the appropriate language, and know that the shape has not changedโ€

Pupils draw each reflection on a coordinate grid and write the coordinates of the reflected vertices. The question on page 2 asks them to describe what happens to the coordinates.

What's inside this worksheet

Reflecting in a Vertical Mirror Line

Triangle A with vertices (1, 2), (3, 2) and (1, 5), and Rectangle B with vertices (2, 6), (4, 6), (4, 8) and (2, 8). Pupils draw both reflections in x = 5 and fill in a table of reflected vertices for each.

Reflecting in a Horizontal Mirror Line

Triangle C with vertices (2, 1), (5, 1) and (2, 3) and the mirror line y = 5. Pupils reflect it, complete the table, then write what happens to the y-coordinate and the x-coordinate.

Answers

Completed tables for all three shapes, such as (1, 2) to (9, 2) and (2, 1) to (2, 9), and a written answer to the question on page 2.

How teachers use it

Predict first

Ask pupils to write the reflected coordinates in the table before they draw anything, then draw the shape to check.

Spotting the rule

After Task 1, put the pairs of x-coordinates side by side. 1 and 9, 3 and 7, 2 and 8 and 4 and 6 all add up to 10, which pupils often notice.

Page 2 question

Let pupils write their own answer to the question first. Then read the answer on page 3 together, which says the two y-coordinates add up to 10.

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