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Unit 9 Practice Test
Name:_________________________________
_____/10
You may use your notes and formula sheet for the following assessment. You may get help, but
you are responsible to turn in your own copy with work attached. No work = no credit.
Part One: Write “True” or “False” for each question below.
1. ______________ If the lengths of the legs of triangle are congruent, then the angle
between them is 90o.
2. ______________ The apothem of a regular polygon is the distance from the center to the
vertex of the polygon.
3. ______________ If an equilateral triangle has a height of 10, then the perimeter of the
triangle is 30√3.
Part Two: Answer each question below. You must write the letter of your response in the
answer box to receive credit. (2 pts each)
4. Which equation below would I use to solve for the area of the following figure: a
parallelogram with a base of 20, a side of 10, and a 45o angle.
a) A = ½ (10)(20)
b) A = ½ (10)(10√2) c) A = (10)(20)
d) A = (10)(10√2)
ANS:
4._______
5. Which equation below would I use to solve for the area of the following figure: An
isosceles trapezoid with one base of 32, a median of 20, and a height of 12.
a) A = ½ (12)(40)
b) A = ½ (12)(20)
c) A = ½ (12)(26) d) none of these
5._______
6. Which equation below would I use to solve for the area of the following figure: A
square with a radius of 10.
6._______
a) A = 102
b) A = ½ (5√2)(40√2) c) A = ½ (10)(40) d) A = ½ (5√2)(40)
7. Which equation below would I use to solve for the area of the following figure:
An isosceles triangle with base 10 and sides of 13.
a) A = ½ (5)(12)
b) A = ½ (10)(13)
c) A = ½ (10)(12)
d) A = ½ (13)(5√3)
7._______
Unit 9 Practice Test
Part Three: Complete each problem below on separate paper. You MUST construct a diagram
for each problem, and show your formula and work. Leave your answers in terms of Π or
with radicals if applicable, no decimals.
8. Find the area of a parallelogram with a 30  angle and side lengths of 40 and 60.
9. Find the area of an equilateral triangle with a radius of 10 inches.
10. Find the area of a regular hexagon with a radius of 16.
11. Find the area of the sector of a circle with a diameter of 20 and a central angle of 51˚.
12. Find the area of a right triangle with one leg of 32 cm and a hypotenuse of 40 cm.
13. Find the area of an isosceles trapezoid if the legs are 8√3, the longer base is 40, and the
shorter base is 24.
14. Show work on separate paper to determine
the area of the shaded region.
(Round to 2 places)
15. The Diameter of Circle O is 16.
On separate paper, calculate:
(leave answer in terms of π)
A) The Arc Length of Arc AC
B) Area of the Shaded Sector
Part 4: CUMULATIVE REVIEW (You will need to know ALL of these for your final exam!)
16. List the 5 ways to prove triangles are congruent
17. List the 5 ways to prove lines are parallel
18. List the 5 ways to prove a quadrilateral is a parallelogram
19. Other than the characteristics listed in #18, list the additional 2 properties of a rectangle
20. Other than the characteristics listed in #18, list the additional 3 properties of a rhombus
21. What is the formula for calculating the sum of the interior angles of a regular polygon
22. What is the measure of each exterior angle of a regular 15-gon (show work)
Answer Sheet
Part 1 – True/False
Unit 9 Practice Test
Name:
Date:
Part 2 – Multiple Choice
1.
4.
2.
5.
3.
6.
7.
Part 3 – Free Response (picture, formula, work, answer)
8.
9.
10.
11.
12.
13.
Unit 9 Practice Test
14.
15.
A)
Part 4 – Cumulative Review
16.
17.
,
1.
2.
3.
4.
5.
18.
1.
2.
3.
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5.
19.
1.
2.
20.
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21.
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,
B)