Page 320 - Math Smart - 7

Use the compass to draw 2 arcs 3 cm away from point 0 on the vertical
line, one above and one below line VJY. This is half the length of diagonal
XZ of the rhombus.
7|\

~N

Notice that we are given
3 cm
the diagonal of the
rhombus to be 6 cm. We
need to half that for
length from centre to IV
vertex.
3 cm

Label the points of intersection X and Z. Join the points of intersection to
5* points \N and /to complete the rhombus.

Check My
Understanding

Q Construct a parallelogram /ABCD such that AB = 6 cm, BC = 5 cm and ^ABC = 50*.
Q Construct a trapezium PQRS such that PQ = 7 cm, AQPS = 55°, /.PC?/? = 60° and the
height of the trapezium is 3 cm.
Q Construct a rhombus WXYZ with diagonals WY = 9 cm and XZ = 5 cm.

UNIT 14 Geometrical Constructions