Chapter 1: Orienting Yourself: The Use of Coordinates
Chapter 1: Orienting Yourself: The Use of Coordinates
Exercise
Question
Question: 3 (ii)
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6 / 9
Look at Reiaan's bathroom
(ii) What is the shape of the showering area SHWR in Reiaan's bathroom? Write the coordinates of the four corners.
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Answer
1
Identify the shape of the showering area SHWR in the given diagram.
Answer: The showering area is a quadrilateral{math_tip:def_quadrilateral} (trapezium{math_tip:def_trapezium}).
Reason: S and H have the same y-coordinate, so SH is horizontal. R and W also have the same y-coordinate, so RW is horizontal. Therefore, SH and RW are parallel. The other pair of sides, RS and HW, are not parallel. Hence, SHWR is a trapezium.
2
Find the x- and y-coordinates of S, H, W, and R from their positions on the coordinate plane.
Answer: The coordinates of the four corners are S = (-6, 6), H = (-3, 6), W = (-2, 9), and R = (-6, 9).