Question

Three vertices of a rectangle are A(−5,3)
, B(2,3)
, and C(2,7)
. Find the coordinates of D
to construct the rectangle ABCD
.(1 point)
Responses

(−5,7)
left parenthesis negative 5 comma 7 right parenthesis

(3,−5)
left parenthesis 3 comma negative 5 right parenthesis

(7,2)
left parenthesis 7 comma 2 right parenthesis

(3,2)

Answer 1

To determine the coordinates of point D in rectangle ABCD, we need to consider the provided points A(-5, 3), B(2, 3), and C(2, 7).

1. Points A and B share the same y-coordinate (3), indicating they form a horizontal line segment.

2. Points B and C share the same x-coordinate (2), indicating they form a vertical line segment.

Since opposite corners of a rectangle share the same y-coordinates or x-coordinates, point D must have the same x-coordinate as A and the same y-coordinate as C.

Therefore:
- The x-coordinate of D will be the same as A's x-coordinate: -5
- The y-coordinate of D will be the same as C's y-coordinate: 7

Thus, the coordinates of point D are (-5, 7).

The correct response is:
**(−5, 7)**