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 · 15 questions

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1.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
2.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
3.A polygon has 9 sides. What is the name of this polygon?
(a)Octagon
(b)Nonagon
(c)Heptagon
(d)Decagon
4.A polygon has one more side than a heptagon. What is the polygon called?
(a)hexagon
(b)heptagon
(c)octagon
(d)nonagon
5.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
6.Point M lies exactly halfway between point A and point B, with A, M and B all on the same straight line. Which term correctly describes point M?
(a)A perpendicular of AB
(b)A plane of AB
(c)The midpoint of AB
(d)The vertex of AB
7.A tile manufacturer cuts a hexagonal tile so that all six sides measure exactly 4 cm, but a check shows only two pairs of the six interior angles are equal to each other, not all six angles. The customer's order specifies regular hexagonal tiles. Based on the check, is this tile a regular hexagon?
(a)No — hexagons can't be regular
(b)Yes — six equal sides means regular
(c)Yes — all sides are equal
(d)No — angles must be equal too
8.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
9.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
10.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
11.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
12.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
13.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
14.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
15.A patio plan states: 'Side AB of the patio is parallel to side DC, and AB is longer than DC. Sides BC and AD are not parallel to each other and are not equal in length.' The four sides measure AB = 5.1 m, BC = 3.2 m, DC = 2.8 m and AD = 4.5 m. The tiler needs to order edging strip only for the sides that are not parallel to any other side. What total length of edging strip, in metres, should the tiler order?
(a)7.7 m
(b)4.5 m
(c)7.6 m
(d)15.4 m

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