Chapter 1 - Orienting Yourself: The Use of Coordinates

Coordinate Geometry Solutions Chapter 1 - Orienting Yourself: The Use of Coordinates Exercise Set 1.1 Q(i) If D R represents the door to Reiaan's room, how far is the door from the left wall (the y -axis) of the room? How far is the door from the x -axis? Solution: The room door lies on the x -axis, so its distance from the x -axis = 0. The coordinates are given as D = (8, 0) and R = (11.5, 0). Q(ii) What are the coordinates of D 1 ? Solution: The coordinates of D 1 are (8, 0). Q(iii) If R is the point (11.5, 0), how wide is the door? Do you think this is a comfortable width for the room door? If a person in a wheelchair wants to enter the room, will she/he be able to do so easily? Solution: Coordinates of D = (8, 0) and R = (11.5, 0). Width of the door = distance between D and R = 11.5 - 8 = 3.5 units. Since 3.5 ft > 2.7 ft (the minimum clear width for a wheelchair), it is a comfortable width. Q(iv) If (0, 1.5) and (0, 4) repres…