Shape and Space 1
4 marks · NormalThe diagram below shows a quadrilateral KLMN with vertices at K(2, 6), L(6, 6), M(7, 2), and N(1, 2).
Name the type of quadrilateral shown.
Calculate the length of side KL.
Write down the order of rotational symmetry of the quadrilateral.
How many lines of symmetry does the quadrilateral have?
Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.
Show answer
(a) rectangle
(b) 4
(c) 2
(d) 2
Show mark scheme and worked solution
Marking points
B1 (a) · 1 mark · Correctly names shape as rectangle.
M1 (b) · 1 mark · Uses correct distance formula: |x2 - x1| = |6-2| = 4 or |y2 - y1| = 0 if horizontal/vertical.
B1 (c) · 1 mark · States correct order of rotational symmetry: 2.
B1 (d) · 1 mark · States correct number of lines of symmetry: 2.
Worked solution
a) The quadrilateral KLMN has opposite sides equal and all angles are right angles, so it is a rectangle.
b) Side KL has endpoints K(2,6) and L(6,6).
c) A rectangle has order of rotational symmetry 2.
d) A rectangle has 2 lines of symmetry.