Pre Test Ch. 8
Geometry
Name ___________________
Date____________Per______
1. Solve for x.
68º
52º
1. __________
104º
2. Solve for x.
xº
2. __________
xº
121º
55º
67º
3. Find the sum of the measures of the interior angles of a heptagon.
3. __________
4. A regular octagon has eight congruent interior angles. What is the
measure of each angle?
4. __________
5. Find the number of sides of a convex polygon if the measures of its
interior angles have a sum of 4680º.
5. __________
6. Find the measure of an interior and exterior angle of a regular
polygon with 22 sides.
6. interior = __________
exterior = __________
7. What is the measure of each exterior angle in a regular decagon?
8. Find AM in the parallelogram if AM= 5x-2
and AO = 3(x + 4).
7. __________
N
M
8. __________
A
P
O
9. Opposite angles in a parallelogram are always _____________.
a. congruent
b. complementary
9. __________
c. supplementary
10. Find the values of x, y and z in the parallelogram.
36º
d. vertical
10. _________
102º
y
z
x
152º
11. Is the quadrilateral a parallelogram? Yes or No. Explain.
28º
11. _________
152º
12. Which statement(s) is(are) true?
a. All parallelograms are squares.
c. All parallelograms are quadrilaterals.
12. _________
b. All rhombuses are parallelograms.
d. All squares are rectangles.
13. If the diagonals of a parallelogram are perpendicular, then the parallelogram
is also what type of figure?
a. trapezoid
b. rectangle
c. rhombus
d. kite
14. Choose the statement(s) that is(are) NOT ALWAYS true. For a Rectangle,
a. each diagonal bisects a pair of opposite angles.
c. the diagonals are congruent.
13. _________
14. _________
b. all four sides are congruent.
d. the diagonals are perpendicular.
15. True or False. All rhombuses are parallelograms.
15. _________
16. True or False. If a quadrilateral is a rectangle, then it is a kite.
16. _________
17. Choose the statement(s) that is(are) ALWAYS true. For an isosceles trapezoid,
17. _________
a. the diagonals are congruent.
c. the diagonals are perpendicular.
b. the base angles are congruent.
d. the legs are congruent.
18. Use the statement, “If a quadrilateral is a parallelogram, then it is a square”.
a. Is the conditional true or false?
18a. ________
b. Write the converse.
b. ________________________________________________________________
c. Is the converse true or false?
c. _________
19. Which statement(s) is true?
19. _________
a. Every kite is a quadrilateral.
c. Every parallelogram is a trapezoid
b. Some rhombuses are rectangles.
d. Some squares are a parallelogram.
20. Which figure can serve as a counterexample to the following conjecture?
20. _________
“If one pair of opposite sides of a quadrilateral is congruent, then the quadrilateral is a rectangle.”
a. rectangle
b. rhombus
c. square
d. isosceles trapezoid
A
B
21. ABCD is a trapezoid with midsegment EF .
If EF = 34 and DC = 42, find the length of AB .
21. _________
E
F
D
C
S
22. Find mT in the diagram if
mR = 120º and mS = 68.5º.
22. _________
R
T
U
23. Describe the figure using as many of these
words as possible: rectangle, trapezoid,
square, quadrilateral, parallelogram, rhombus.
23. _________
For Questions 24 and 25
a. Plot the coordinates of the quadrilateral.
b. Give the most specific name for the quadrilateral.
c. Justify your answer using the slope, distance and/or midpoint formulas.
24.
A(-3, 5)
a.
b. _______________
B(0, 5)
C(6, 0)
c. ____________________________
D(3, 0)
_____________________________
25.
A(0, 5)
a.
b. _______________
B(0, -5)
C(4, -2)
c. ____________________________
D(4, 2)
_____________________________
Answers:
1. 136
2. 63
3. 900
4. 135
5. 28
6. 163.64,16.36
7. 36
8. 33
9. A
10. 36, 42, 102
11. Yes, both pairs of opposite angles
congruent
12. b,c,d
13. C
14. a,b,d
15. T
16. F
17. a,b,d
18a. F
18b. If the quadrateral is a square, then it is a parallelogram.
18c. T
19. a,b
20. D
21. 26
22. 103
23. Rectangle, quadrilateral, parallelogram
24. Parallelogram. Slope AB=slope CD=0, Slope BC=slope DA=-5/6. Therefore quadrilateral ABCD is
a parallelogram because opposite sides parallel.
25. Isosceles Trapezoid. Slope AB=slope CD=Und. Slope BC= 3-4 slope DA=-3/4. Distance AD= 5.
Distance BC=5. Therefore quadrilateral ABCD is a Isosceles trapezoid because exactly one pair of
opposite sides are parallel and the legs are congruent.