Ex 1.2, 3

Transcript

Ex 1.2, 3 (i) Look at Reiaan’s bathroom. What are the coordinates of the four corners O, F, R, and P of the bathroom? Let’s mark the coordinates Let’s find the coordinates 𝑶 (bottom-right): (0,0) F (top-right): Looking at the 𝑦-axis, point 𝐹 is at 9 . (0, 9) 𝑷 (bottom-left): Looking at the x -axis, point P is deep into negative territory. (−6,0) 𝑹 (top-left): This aligns with P on the x -axis and F on the 𝑦-axis. (−6,9) Ex 1.2, 3 (ii) What is the shape of the showering area SHWR in Reiaan’s bathroom? Write the coordinates of the four corners. Marking the coordinates Let’s look at the Shape Here, SWHR has 4 sides. So, it is a quadrilateral And, RW & SH are parallel Now, we know that a Quadrilateral with one pair of opposite sides parallel is a trapezium. Thus, SWHR is a trapezium And, its Coordinates: S (-6, 6), R (-6, 9), W (-2, 9), H (-3, 6). Ex 1.2, 3 (iii) Mark off a 3 ft × 2 ft space for the washbasin and a 2 ft × 3 ft space for the toilet. Write the coordinates of the corners of these spaces. Let’s do it one by one Washbasin Since it is 3 ft × 2 ft space, it means Width = 3ft, i.e. Distance between y-coordinates = 3 Length = 2ft, i.e. Distance between x-coordinates = 2 So, corners are (–6, 0), (–4, 0), (–4, 3) and (–6, 3) Toilet Since it is 2 ft × 3 ft space, it means Width = 2 ft, i.e. Distance between y-coordinates = 2 Length = 3 ft, i.e. Distance between x-coordinates = 3 So, corners are (–6, 3), (–3, 3), (–3, 5) and (–6, 5)