Question

Greta draws one side of equilateral △PQR on the coordinate plane at points P(−2, 2) and Q(6, 2). Which ordered pair is a possible coordinate of vertex R?

Answer 1

Answer:

(2,8) or (2,-8)

Step-by-step explanation:

The two points already given are 8 units apart, so the third point would have to be either 8 units upward or 8 units downward.  Now for an equilateral triangle, the x-coordinate has to be a number between the x-coordinates of the points already given, in this case, -2 and 6.  On a coordinate plane, the middle x-value is 2.  Therefore, the ordered pairs that make the most possible coordinates of vertex R are (2,8) or (2,-8) depending on whether you want the point of the triangle to face upward or for it to face downward.