Question

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Answer 1

1. Find the slope of AB
2. Find the slope of BC
3. Multiply the answer to 1 by the answer to 2
4. Is the result -1?
5. If so, find the slope of CD
6. Is the answer to 5 the same as the answer to 1
7. If so, it is a rectangle.

Answer 2

The rectangle could be sideways on the graph.

Answer 3

If consecutive sides are perpendicular and opposites sides are parallel, then it is a rectangle.

Answer 4

A (-5,5)
B (1,8)
C (4,2)
D(-2,2)
slope of AB=
8−5/1+5=1/2
slope of BC =
8−2/1−4=6/−3=−2

Answer 5

Slope of CD = \[\frac{2-(-2)}{4-(-2)}=\frac{4}{6}=\frac{2}{3}\]

Answer 6

AB is not parallel to CD. It is not a rectangle.