Question

Use the information to answer the question. Point C is on the coordinate plane. Kiara will plot point D in the first quadrant so that the distance between point C and point D is 4 units. What will be the coordinates of point D?

Answer 1

To find the coordinates of point D in the first quadrant, we can set up an equation using the distance between point C and point D as 4 units. By simplifying and solving the equation, we can determine the coordinates of point D.

Step-by-step explanation:

To find the coordinates of point D in the first quadrant, we need to consider the distance between point C and point D, which is 4 units. Since point D is in the first quadrant, both the x-coordinate and y-coordinate will be positive.

Let's say the coordinates of point C are (xC, yC). Since the distance between C and D is 4 units, we can set up the equation:

√((xD - xC)2 + (yD - yC)2) = 4

Simplifying the equation, we get:

(xD - xC)2 + (yD - yC)2 = 16

Since point C is in the first quadrant, we know that xC and yC are both positive. Let's assume that the coordinates of point D are (xD, yD). Plug in the values for xC and yC, and we get:

(xD - xC)2 + (yD - yC)2 = 16

Expanding the equation and solving for xD and yD, we find the coordinates of point D in the first quadrant.