Ex 1.1, 1 (i)

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Ex 1.1, 1 (i) Fig. 1.3 shows Reiaan’s room with points OABC marking its corners. The x- and y-axes are marked in the figure. Point O is the origin. If D1R1 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? We find the distance of where the door starts from y-axis. Perpendicular distance is the always the shortest, so whenever distance is asked, we find perpendicular distance (not distance using a curved or slant line) Distance from the left wall (y-axis): The door starts at point D₁. If you look at where D₁ lines up on the horizontal x-axis, it sits exactly on the number 8. Because the left wall is the y-axis (where x is 0), the door is exactly 8 units away from the left wall. Distance from the x-axis: The door segment (D₁ to R₁) is drawn right on the x-axis itself (the bottom wall). Because it is lying flat on this line, it hasn't moved up or down at all. Therefore, its distance from the x-axis is 0 units.