Question

Three vertices of a rectangle are A(−1,5)
, B(4,5)
, and C(4,−2)
. Find the fourth vertex, D
. (1 point)
(
)
Remaining Attempts

Answer 1

To find the fourth vertex \( D \) of the rectangle given the three vertices \( A(-1, 5) \), \( B(4, 5) \), and \( C(4, -2) \), we can use the properties of rectangles.

1. Since points \( A \) and \( B \) have the same \( y \)-coordinate, they are horizontal points on the top side of the rectangle.
2. Since points \( B \) and \( C \) have the same \( x \)-coordinate, they are vertical points on the right side of the rectangle.

The fourth vertex \( D \) will share the \( x \)-coordinate of \( A \) and the \( y \)-coordinate of \( C \).

- The \( x \)-coordinate of point \( D \) will be the same as the \( x \)-coordinate of point \( A\), which is \( -1 \).
- The \( y \)-coordinate of point \( D \) will be the same as the \( y \)-coordinate of point \( C\), which is \( -2 \).

So the coordinates of point \( D \) are:

\[
D(-1, -2)
\]

Thus, the fourth vertex \( D \) is \((-1, -2)\).