Using Slope to Identify Quadrilaterals
Name _________________ class ____
Determine whether each quadrilateral with the given vertices is a parallelogram, a
trapezoid, or neither. Graph. EXPLAIN your reasoning include calculations and words.
1) A (-9, -1) B (-5, 2) C (6, 2) D (-10, -10)
2) R (-8, 7) S (11, -8) T(2, 10) V(0,4)
3) J (4, 4) K (2, 1) L (-3, 2) M (-1, 5)
4) If a quadrilateral is a parallelogram with diagonals that are
perpendicular, then the figure is a rhombus. Determine whether
quadrilateral WXYZ is a rhombus. Explain in words and with
calculations.
Determine whether each pair of lines through the given points below is parallel, perpendicular, or
neither.
A=(1,2)
B=(3,4)
C=(5,2)
D=(8,3)
E=(3,8)
F=(-6,5)
6.
9. Write the equation of line
7.
8.
in slope intercept form. (Hint: slope intercept is the form
10. Find the intersection of the two lines in problem 5.
11. Given
such that
find two possible locations for a point P,
is parallel to
12. Quadrilateral OVER has vertices
.
a. Are the diagonals perpendicular? How do you know?
b. Find the midpoints of each diagonal. What can you conjecture about them?
c. Demonstrate what type of quadrilateral OVER is.
)