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CPM Geometry Honors
Chapter 7
Closure
Name: _______________________
1. Determine what type of quadrilateral has vertices A(1, 1) B(3, 4) C(10, 4) D(8, 1). Show work in a neat and
organized manner!
2. Determine what type of quadrilateral has vertices A(1, 2) B(-3, -1) C(-7, 2) D(-3, 5). Show work in a neat
and organized manner!
3. Given: Isosceles trapezoid WXYZ
W
3x ─ 5
a. x = ____________
b. mY = ________
Z
c. mW = ________
d. mZ = ________
2x + 10
X
Y
4. For each description of the quadrilateral below, say what special type of quadrilateral must be and/or what
special type of quadrilateral could be.
a. My quadrilateral has four equal sides.
b. My quadrilateral has two pairs of opposite parallel sides.
c. My quadrilateral has two consecutive right angles.
d. My quadrilateral has two pairs of equal sides.
e. The diagonals of my quadrilateral bisect each other.
f. My quadrilateral has three right angles.
g. My quadrilateral has a pair of parallel sides.
h. My quadrilateral has congruent diagonals.
i. My quadrilateral has diagonals that bisect both pairs of opposite angles.
j. The diagonals of my quadrilateral are perpendicular.
5. Given: parallelogram JKLM.
J
M
7
b. mM = ________
c. mL = ________
70°
K
a. mJ = _________
9
L
X
6. Given: YX  WX
XZ bisects YXW
Prove: YZ  WZ
Y
W
Z
Statements
7. Solve for x and y.
Reasons
7. x = ____________
y = ____________
y
x+6
25
4x + 2
8. Find the midpoint of segment AB where A(-8,10) and B(-5, -6).
8. _______________
9. Find the distance of AB where A(-8, 10) and B(-5, -6).
9. _______________
10. Find the slope of AB where A(-8, 10) and B(-5, -6).
10. ______________