Download Final Review / Practice Test

Math 1312
Fall 2010
Final Review / Practice Test
When: Friday, May 6
Time: 11 am – 2 pm
Where: SR 116
What to bring: picture ID, scantron form, pencil with eraser, calculator
Format: Multiple choice
Total points: 100
What is covered: Chapter 1 – Chapter 6, Chapter 8, and Chapter 9 (Only Sections covered in
class are included)
Math Department Final Policy: If you score 70% or above on the final, then you will pass the
course with at least a D−.
Vertical angles are congruent.
1. Find “x” .
m∠1 = 9x – 4
1
2
m∠2 = 3x + 14
Median joints a vertex to the midpoint of the opposite side.
2. Find AB if BD is a median of ∆ABC.
B
2x
A
x-1
D
4x-16
C
Know how to determine the type of triangle.
3. Determine the type of triangle represented if the lengths of its sides are as follows:
a) 4, 5, 7
b) 6, 7, 8
c) 9, 12, 15
d) 3, 4, 9
Sum of the measures of the angles in a triangle is 180
4. Find the value of “x”.
21°
(4x+19)°
6x°
5. In an isosceles trapezoid, the bases are 70 cm and 30 cm. What is the length of the median?
6. Find the value of “x”.
(5x - 3)°
31°
(2x + 5)°
7. Find the Lateral Area, Total Area, and Volume of the cylinder with radius 5 and altitude 6.
2
8. Find the slant height of the cone with the radius 3 and the altitude 6.
9. Find the area of a rhombus with diagonals 12 and 14.
10. Find the total area (surface area) and the volume of the rectangular prism below.
6cm
8 cm
10 cm
11. Find the slant height, and the volume of the pyramid below.
6
16
16
3
48
12
12. Find the area of the shades region.
22
7
13. Find the measure of ∠U.
Find the sum of the
interior angles first!!
V
4y°
R
(12y-30)°
(6y)°
S
(11y-15)°
U
(6y)°
T
14. What is the measure of an interior angle of a hexagon?
15. Each interior angle of a regular polygon is 90. How many side does it have?
16. Suppose that the perimeter of a quadrilateral is 70 and the lengths of the sides are in ratio
2:3:4:5. Find the measure of each side.
4
17. Which postulate can be used to prove that ∆ABE ≅ ∆CBE?
B
A
C
E
18. ∆DEF is isosceles. ∠D is the vertex angle. The m∠E = 2x + 40 and the m∠F = 3x + 22.
Find the measures of each angle.
Know supplementary angles, complementary angles, vertical angles, consecutive
interior, alternate exterior, alternate interior, corresponding.
19. Name each pair of angles.
a ||b
2
a
4
6
b
8
1
3
5
7
t
1)
∠1 and ∠2
2)
∠1and ∠4
5
3)
∠3 and ∠7
4)
∠4 and ∠5
5)
∠1 and ∠8
A
20. Find the apothem, perimeter and area of an equilateral triangle with sides of 18.
21. Find the value of x.
x + 13
a ll b
x + 33
18
a
10
b
6
22. Find the value of “x” in the circle below.
75°
30°
x°
23. Find the value of “x” in the circle below.
x°
40°
100°
Know how to find the sides of special right triangles (30-60-90) and (45-45-90) if one
of the sides is given.
24. Find the exact value of “x”.
60°
x
6
30°
25. Find the exact value of “x”.
45°
x
14
45°
7
26. Given PR = 8, PS = 4, find SQ.
27. The triangles below are similar. Find the value of “x”.
12
36
18
x
24
28. Find the AE given DE = 6, BE = 14 and CE = 7.
8
29. In the figure below, p ll m, m∠2 = 74° and m∠7 = 104°. Find the following angle measures.
m
p
3
1
2
4
7
5
6
9
11
1) m∠1 = ______
10
2) m∠3 = ______
8
3) m∠9 = ______
4) m∠10 = ______
9