asked 226k views
1 vote
Which of the following points is the fourth vertex needed to create a rectangle with vertices located at (-17, 15). (-17, -7), and (-5, -7)?

O(-5, 15)
O(-5,7)
O(-17, -15)
O(-17.7)

2 Answers

6 votes

Answer: A.(-5, 15)

Explanation:

answered
User Raja Asthana
by
8.1k points
2 votes

The fourth vertex needed to create a rectangle with the given vertices must be the point that completes the rectangle by forming a right angle with the point (-5, -7).

The distance between (-17, -7) and (-5, -7) is 12 units, so the fourth vertex must be located 12 units above (-17, 15) on the y-axis.

Therefore, the fourth vertex is O(-17, 27).

None of the given options match this point, so none of them are correct.

answered
User Michael Katkov
by
8.0k points

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