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.Which of the following is the correct definition of a regular polygon?
(a)All of its sides are equal in length
(b)It has at least one line of symmetry
(c)Equal sides and equal interior angles
(d)All of its interior angles are equal
2.Which of the following correctly describes what it means for two lines to be perpendicular?
(a)Two lines equal in length
(b)Two lines crossing at any angle
(c)Two lines that never meet
(d)Two lines that cross at right angles
3.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
4.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
5.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
6.A rhombus has all four sides equal in length, but it is not a square — its angles are not all 90°. How many lines of symmetry does this rhombus have?
(a)2
(b)1
(c)4
(d)0
7.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
8.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
9.A polygon has 9 sides. What is the name of this polygon?
(a)Octagon
(b)Nonagon
(c)Heptagon
(d)Decagon
10.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
11.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
12.A quadrilateral has two pairs of parallel sides. All four of its interior angles are right angles, but its sides are not all the same length. Which quadrilateral is this?
(a)Rhombus
(b)Square
(c)Rectangle
(d)Kite
13.A polygon has 12 straight sides. What is the mathematical name for this polygon?
(a)Hendecagon
(b)Icosagon
(c)Dodecagon
(d)Decagon
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 triangle XYZ, the side opposite vertex X is labelled using the standard lowercase-letter convention. Which label is correct?
(a)y
(b)z
(c)x
(d)X

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