Chapter 1: Orienting Yourself: The Use of Coordinates

Exercise

Question

Question: 8 (ii)

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Using the origin as one , plot the vertices of:

(ii) An isosceles triangle with one vertex in Quadrant III and the other in Quadrant IV.

Answer

1
Choose one point in Quadrant III and one in Quadrant IV so that they are equally far from the .
Coordinate plane showing an isosceles triangle with one vertex at the origin and the other two vertices in Quadrants III and IV.
An isosceles triangle with one vertex at the origin and the other two vertices in Quadrants III and IV.
Answer: The points O, B, and C form an isosceles{math_tip:def_isosceles_triangle} triangle.
Reason: Choose B = (-5, -5) in Quadrant III and C = (5, -5) in Quadrant IV. These points are mirror points across the y-axis, so they are at the same distance from the origin. Therefore, the two sides OB and OC have equal lengths.
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