Grade 7 Math · Geometric and Spatial Reasoning

Describe and perform translations, reflections, and rotations on a Cartesian plane, and predict the results

10 tutor-authored questions for this Ontario curriculum expectation, ordered easiest to hardest — every one with a full worked solution. Work through them free, no account needed.

Start the 10 questions Curriculum: G7-E1.4

Sample: the first question, solved

A point at (4,5) is translated 3 units left and 2 units down. Find the new coordinates.

📘 Worked solution
(1,3).

And one from the hard end

A point at (3,−4) is rotated 90° counterclockwise around the origin using (x,y)→(−y,x). Find the new coordinates.

Solution shown after you try it in practice mode.

Work through all 10, easiest to hardest

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