Question 3 — IGCSE 0580 March 2024 Paper 32
Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Geometry · Geometrical terms and vocabulary. Worth 13 marks.
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Question text
3 (a) In triangle DEF, DE = 6cm and DF = 4.8cm.
Using a ruler and compasses only, construct triangle DEF.
Leave in your construction arcs.
The line EF has been drawn for you.
E F
[2]
(b)
B
A C
T
D
F G
E
(i) Write down the letter of the triangle that is congruent to triangle T.
................................................. [1]
(ii) Write down the letter of the triangle that is similar but not congruent to triangle T.
................................................. [1]
© UCLES 2024 0580/32/F/M/24
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(c)
NOT TO
SCALE
h
62° 62°
7 cm
The diagram shows an isosceles triangle.
(i) Show that the perpendicular height, h, is 6.58 cm, correct to 3 significant figures.
[3]
(ii) Calculate the area of the triangle.
Give the units of your answer.
........................................... ...................... [3]
(iii) Kalpit tries to arrange some of these triangles to make a regular polygon with centre O.
O
NOT TO
SCALE
7 cm 7 cm
62° 62°
7 cm
Show that Kalpit cannot make a regular polygon.
[3]
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