Question

E(7, 3), F(7, -3), and G(-6, -3) are three vertices of rectangle EFGH. What are the coordinates of the fourth vertex, H?

A.
(7, 3)
B.
(7, -3)
C.
(-6, -3)
D.
(-6, 3)
E.
(3, -6)

Answer 1

H = (-6, 3)

Explanation:

A diagram has 4 sides with opposite sides being equal to each other and adjacent sides making an angle of 90 degrees with each other.

Here, we can see from the diagram that the width of the rectangle is 6 units and we also know the coordinates of point G.

So we can find the coordinates of the vertex H by adding 6 units to the y coordinate of vertex G, while its x-coordinate will be the same as of G.

G (-6, -3)

H (-6, (-3+6)) = (-6, 3)

Therefore, the vertex H = (-6, 3).

Answer 2

D) (-6, 3)

Explanation:

In rectangle, the opposite sides are equal and each angle measures 90 degrees.

Therefore, draw the parallel sides and find the vertex of the fourth coordinate.

Here the vertex, H = (-6, 3)

Thank you.