Larissa is writing a coordinate proof to show that the diagonals of a square are perpendicular to each other. She starts by assigning coordinates as given.
The slope of KH is 1
The slope of GJ is -1
The product of the slopes of the diagonals is -1
Therefore, KH is perpendicular to GJ
Answer:
Since GHJK is a square, the coordinates of H are (a, a).
The slope of KH is 1.
The slope of GJ is -1.
The product of the slopes of the diagonals is -1.
Therefore, KH is perpendicular to GJ.
Step-by-step explanation:
Verified correct with test results.