Page 324 - Math Smart - 7

Q HIJK is a square with side lengths of 8 cm.
IJL is a right-angled isosceles triangle.
Make an accurate drawing of the diagram. 8 cm..
Hint: You need to calculate the missing
angles in triangle IJL first.

@*Challenge!
Construct a trapezium PQRS such that PQ = 9 cm, ^QPS = 48°, /LPQR = 64° and the height of the
trapezium is 5 cm.

^*Challenge!
Construct a trapezium KLMN, with a line of symmetry, such that KL = 9 cm, NM = 7 cm and with
a height of 5 cm.

(Ii)*Challenge!
Paul wants to build a regular pentagonal pyramid like the one shown below.

7 cm
Help Paul construct the net of a regular pentagonal pyramid.

Journal Writing

Q Construct a rectangle with sides 45 mm and 38 mm long respectively.

a) Draw the diagonals of the rectangle.
b) Measure the lengths of the diagonals.
c) Compare the lengths of the diagonals. Is this what you expected? Explain
Q Construct a square with sides 11 cm.
a) Draw the diagonals of the square.

b) Measure the lengths of the diagonals.
c) Compare the lengths of the diagonals. Is this what you expected? Explain

UNIT 14 Geometrical Constructions