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.In pentagon PQRST, which of the following correctly names the interior angle at vertex R, using standard three-letter angle notation?
(a)∠QRS
(b)∠PQR
(c)∠TRP
(d)∠RST
2.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
3.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
4.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
5.A polygon has 9 sides. What is the name of this polygon?
(a)Octagon
(b)Nonagon
(c)Heptagon
(d)Decagon
6.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
7.A polygon has 12 straight sides. What is the mathematical name for this polygon?
(a)Hendecagon
(b)Icosagon
(c)Dodecagon
(d)Decagon
8.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
9.A triangle has vertices X, Y and Z, with a right angle at Y. Side XY is twice as long as side YZ. Which of the following correctly describes this triangle?
(a)A right-angled isosceles triangle
(b)A right-angled triangle
(c)An isosceles triangle
(d)An equilateral triangle
10.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
11.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
12.A polygon has one more side than a heptagon. What is the polygon called?
(a)hexagon
(b)heptagon
(c)octagon
(d)nonagon
13.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
14.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
15.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

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