Question

A rectangle has vertices at these coordinates. (−6, 3), (−6, 5), (2, 3) What are the coordinates of the fourth vertex of the rectangle?

Answer 1

Answer:

The coordinates of the fourth vertex of the rectangle is $(2,5)$

Step-by-step explanation:

Let

$A(-6,3), B(-6,5),C(2,3)$

using a graphing tool

Plot the vertices of the rectangle

The coordinates of point D will be the intersection point of the line parallel to AC that passes through the point B with the line parallel to AB that passes through the point C

The intersection point is $(2,5)$

see the attached figure

Answer 2

The coordinate of the fourth vertex will be (2,5).

Given,

The coordinates of the vertices of the rectangle is (-6,3), (-6,5), (2,3).

We have to find the coordinate of the fourth vertex.

How to get the fourth vertex of rectangle?

On plotting the given coordinates on the graph paper,

we find that the coordinates (−6, 3) and (−6, 5) lying on the second quadrant and the coordinate (2,3) lying on the first quadrant,

so other coordinate will also be lying on the first quadrant.

See the attached graph.

So from the graph the coordinate of fourth vertex will be (2,5).

For more details, about rectangle and graph, follow the link:

https://brainly.com/question/6289821