Download GeoSem2 Final PRACTICE

Geometry PRACTICE FINAL Semester 2
Name ____________
1. Given two side lengths of a triangle, give the
interval of possible values for the 3rd side.
5. Find the
a) mean,
b) median
c) mode for the following set of numbers:
74, 74, 75, 79, 79, 79, 82, 84, 91, 100, 100
8
17
6. What is the measure of an angle that is the
supplement to an angle with a measure of 1320?
2. For the picture below, name a pair of:
a. Alternate interior angles
b. Alternate exterior angles
1
2
3
c. Corresponding angles
d. Vertical angles
4
5
7. Finish these 4 Pythagorean triples.
a) 3, ____, 5
b) 5, 12, ____
c) ____, 15, 17
d) 7, 24, _____
6
e. Same side interior angles
8a) Draw a rectangle whose sides are (x – 5) and
(2x + 3)
f. Same side exterior angles.
g. Which of the above are congruent?
h. Supplementary?
3. Lines AB and CD are parallel. Find m4 .
1130
A
b) Now write an expression that represents the area
of that rectangle.
B
c) Now write an expression that represents the
perimeter of that rectangle.
D
C
4
9. In figure below, points A, E, and D are on the
same line. What is the measure of CED ?
C
4. a) 32 is x% of 105?
B
b) 32 is 24% of what number?
31o
c) x is 36% of 245?
?
72o
A
E
D
10. Point A is to be graphed in a quadrant, not on
an axis, of the standard (x, y) coordinate plane
below.
a) If the x-coordinate and the y-coordinate of
point A are both negative, then A must be
located in what quadrant? Graph point A.
13. Simplify:
a)  2 x 2  7 x  12 x  7  6 x
b) 5 x3  2 x 2  12 x  2 x 2  12 x
b) If point B is located in quadrant II, what
must the signs be on the x & y coordinates?
Graph point B.
y
II
c) 2 x  17 x 2  12  4 x  6 x 2
I
x
IV
III
11. On a standard die, with six sides numbered one
14. Between what two integers is:
a) 12 ?
_______ 12 _______
b) 80 ?
_______
80 _______
c) 60 ?
_______
60 _______
through six,
a) What is the probability of rolling a number
less than or equal to 4?
b) What is the probability of rolling an odd
15. ABC  XYZ. Name the 6 triangle
congruence statements.
number?
c) What is the probability of rolling a prime
number?
12. Evaluate f ( x)  5 x 2  2 x  3 for :
a) f (3)
16. Draw and find the side lengths of a rhombus
with diagonals of lengths:
a) 16 and 30
b) 40 and 42
b) f (2)
17. Given a regular pentagon with an apothem 10 ft
long and has side lengths of 12 ft long, find the
area. Round to the nearest tenth.
c) f (0)
10 ft
18. For the segment with endpoints A(-4, 3) and
B(5, -8). Find the
a) Midpoint of AB.
b) Length of AB.
21. The radius of the base of a cylinder is 4.5 m
and the height of the cylinder is 25m. Draw and
label.
a) Find the area of the base.
b) Find the total surface area.
19. Circle A and Circle B are congruent &
inscribed in rectangle QRST.
Find the area of the shaded region.
c) Find the volume.
Q
R
A
B
7
S
T
22. A square pyramid has a slant height = 13 cm
and each side of the base = 10 cm. Draw & label.
a) Find the area of the square base.
b) Find the Volume of the Pyramid.
c) Find the total surface area.
20. Given circle P with AP = 3 and mAPB  25 ,
find the area of the shaded sector and the length
of the arc AB
A
o
3
25°
a) In exact form using pi.
P
B
23. The base edges of a right triangular prism are 8
cm, 15 cm, and 17 cm. The height of the prism
is 4 cm. Draw and label. Then
a) Find the Area of the triangular base.
b) Rounded to the nearest 10th place.
b) Find the volume of the prism.
c) Find the Surface Area of the prism.
24. The volume of a sphere is 36 π cm3.
a) Find the radius.
28. Solve: x 
2  x x 1 1


2
2
3
b) Find the surface area rounded to the nearest
10th place.
29. Given the line 4 x  5 y  20
a) Write the equation in slope/intercept form.
25. The radius of the base of a cylinder is 10 in.
The height of the cylinder is 12 in. Find the
exact volume of the cylinder.
b) What is the slope? y-intercept?
c) Graph the line on graph paper.
30. Find the value of x in the figure below.
(secant-in)
26. Given the sum of the interior angles of a regular
polygon is 1260,
a) Find the measure of one exterior angle of the
polygon.
3
7
12
x
b) Find the number of sides.
31. Solve for x. THEN find the value of all four
angles.
27. In circle O find
a) Measure of AOB
4 in
C
O
b) Measure of angle ACB
A
H
B
3x
F

c) Length of AB
E
56°
J
4x - 15
G
32. Find x in the circle. (inscribed)
100
34. Use a two column proof or flow chart proof to
prove the following. Be sure to mark your
diagrams.
x
135
o

a) Given: J
N, JK = 6 and line segment
KM bisects line segment JN
Prove: NM = 6
33. Given the two similar rectangles below:
a. What is the ratio of similarity?
b. What is the ratio of their areas?
c. Find the area of each rectangle.
b) Given: line AC bisects BAD & BCD
and segment DC
segment AD.
Prove:
B = 90
35. For the figure below find the:
36. Given the diagram below:
a) Base area of the cone. Round to the nearest 10th.
a. Find the area of the circle.
b) Lateral area of the cone. Round to the nearest
tenth.
b. Find the area of the hexagon.
c) Surface area of the cone. Round to the nearest
10th.
d) Volume of the cone. Round to the nearest 10th.
20m
e) Lateral area of the cylinder. Round to the nearest
tenth.
f) Surface area of the cylinder. Round to the nearest
10th.
15m
g) Volume of the cylinder. Round to the nearest
10th.
h) Total volume of the figure.
37. Find the volume & Surface Area of the figure
below.
13 cm
12 cm
5cm