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Geometry — Properties practice questions — GCSE Maths
16 free multiple-choice problems on geometry — properties, ordered to match GCSE Maths difficulty, each with a full worked solution. No account needed — and there's a fresh problem set every day.
Try 3 problems from this chapter
Problems & worked solutions
Problem 1 — Geometry — Properties
Which transformation always gives an image congruent to the original?
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A reflection keeps size and shape unchanged, so the image is congruent. Enlargements with scale factor change the size.
Problem 2 — Geometry — Properties
When two straight lines cross, vertically opposite angles are:
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Vertically opposite angles are equal.
Problem 3 — Geometry — Properties
The interior angles of a quadrilateral add up to:
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Problem 4 — Geometry — Properties
Two shapes are similar if they have:
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Similar shapes are the same shape with all lengths in the same ratio (a scale factor).
Problem 5 — Geometry — Properties
Angles around a point add up to:
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Angles around a point add up to .
Problem 6 — Geometry — Properties
Each interior angle of an equilateral triangle is:
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Problem 7 — Geometry — Properties
Two angles lie on a straight line. One is . The other is:
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Problem 8 — Geometry — Properties
Two similar triangles have bases cm and cm. The scale factor (small to large) is:
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Problem 9 — Geometry — Properties
A triangle has sides cm. A triangle congruent to it has sides:
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Congruent triangles have equal corresponding sides, so cm.
Problem 10 — Geometry — Properties
Are two squares that each have side cm congruent?
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Both are squares of side cm — same shape and size — so they are congruent.
6 more Geometry — Properties questions in the app
Also covered in Geometry — Properties practice across every exam.