Printable · GCSE Foundation · ages 14-16

Geometric terms, notation and diagrams worksheet — GCSE Foundation

Fifteen questions on "geometric terms, notation and diagrams" — DfE statement G1. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.

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Geometric terms, notation and diagrams worksheet — GCSE Foundation

Maths · GCSE Foundation · G1 · Geometric terms, notation and diagrams · Non-calculator · 15 questions

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1.In quadrilateral ABCD, side AB is parallel to side DC. Which statement correctly uses geometric notation to show this?
(a)AB ∥ BC
(b)AB = DC
(c)AB ∥ DC
(d)AB ⊥ DC
2.A quadrilateral has both pairs of opposite sides parallel and equal in length, but none of its angles are right angles. Which statement about this quadrilateral is correct?
(a)It is a trapezium
(b)It must be a rhombus
(c)It is a parallelogram but not a rectangle
(d)It must be a rectangle
3.What does the statement AB = CD mean, where A, B, C and D are all points?
(a)AB is parallel to CD
(b)A, B, C and D all lie on one line
(c)AB and CD are equal in length
(d)AB is perpendicular to CD
4.A textbook contains the instruction 'Draw AB' and, on the next line, the statement 'AB = 5 cm'. Which statement about the notation AB is correct?
(a)The length must be written as |AB|, not AB
(b)A different symbol is needed for the length
(c)AB means the segment or its length, shown by context
(d)AB can only mean the segment, never a length
5.A triangular prism has two triangular faces and three rectangular faces. How many vertices does a triangular prism have?
(a)9
(b)6
(c)8
(d)5
6.A regular polygon has 5 lines of symmetry. What is the order of rotational symmetry of this polygon?
(a)5
(b)6
(c)10
(d)4
7.An isosceles trapezium has exactly one pair of parallel sides, and its two non-parallel sides are equal in length. How many lines of symmetry does it have?
(a)0
(b)2
(c)4
(d)1
8.A written description of a diagram states: 'AB is marked with a single arrow, CD is marked with a single arrow, and EF is marked with a double arrow.' Using the standard convention for marking parallel lines, what can be concluded?
(a)AB, CD and EF are all parallel
(b)None of the lines are parallel
(c)AB ∥ CD only; EF not confirmed
(d)EF is parallel to AB
9.Which of these correctly compares a 'line' with a 'line segment'?
(a)A line has two endpoints; a segment has none
(b)A line segment is always curved
(c)A line has no endpoints; a segment has two
(d)A line segment is a closed shape
10.A polygon has 9 sides. What is the name of this polygon?
(a)Octagon
(b)Nonagon
(c)Heptagon
(d)Decagon
11.A rhombus has all four sides equal in length. Which statement about a rhombus is correct?
(a)Its rotational symmetry order is always 4
(b)Its diagonals cross at right angles
(c)Its diagonals are always equal in length
(d)It always has four right angles
12.In quadrilateral WXYZ, which of the following correctly names the angle at vertex Y using standard notation?
(a)∠YZW
(b)∠WXY
(c)∠XYZ
(d)∠ZWX
13.Lines AB and CD cross at a point, forming four right angles where they meet. Which notation correctly describes the relationship between AB and CD?
(a)AB = CD
(b)AB ∥ CD
(c)AB ⊥ CD
(d)AB ≅ CD
14.A polygon has one more side than a heptagon. What is the polygon called?
(a)hexagon
(b)heptagon
(c)octagon
(d)nonagon
15.In geometry, which of the following best describes a 'plane'?
(a)A flat surface extending infinitely in two directions
(b)A straight line extending in one direction
(c)A single, fixed position with no size
(d)A flat, bounded face on a 3D shape

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