The given vertices combine with the fourth vertex as follows;
a) Coordinates; (-4, 5)
Lengths of the sides; 4 and 5
b) Coordinates; (4, 5)
Lengths of the sides; 4 and √41
c) Coordinates; (-4, -5)
Lengths of the sides; 5 and √41
<h3>How can the vertex coordinates be found?</h3>
The given vertices are;
(0, 0): The origin
(-4, 0): 4 units to the left of the origin along the abscissa
(0, 5): 5 units above the origin, along the ordinate
a) The point that forms a rectangle is above the point (-4, 0) and to the left of the point (0, 5), which gives;
The coordinates of the point that forms a rectangle is the point (-4, 5)
The lengths of the sides are;
0 - (-4) = 4
5 - 0 = 5
b) The first parallelogram is formed by moving an equal distance of the point (-4, 0) from the origin from the point (0, 5), which gives;
- The first parallelogram is formed by the point (4, 5)
The lengths of the sides are;
- 4 - 0 = 4
- √((5 - 0)^2 + (4 - 0)^2) = √41
c) The second parallelogram is formed by the moving an equal distance of the point (0, 5) from the origin from the point (-4, 0), which gives;
- The second parallelogram is formed by the point (-4, -5)
The lengths of the sides are;
Learn more about parallelograms here:
brainly.com/question/21474928
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