Download Geometry Final

Geometry
Semester 2 Final PRACTICE
1. ABCD is a parallelogram. Find x.
Name __________________________
A
x

B
118
C

D
2. Which pair of angles in the figure below is an example of each given angle pair relationship?
Alternate interior angles _____
Alternate exterior angles _____
1
Same side interior angles ____
2
3
Same side exterior angles _____
4
Vertical angles _____
5
6
Corresponding angles _____
Linear Pair _____
4. Solve for x.
36 15

x 25
5. How are the following triangles congruent?
6. Find the complement & supplement of angles with the measures of
a)360
b)1230
c) 2160 .
7. Find the area of a rectangle with b = (3x + 4) and h = (2x - 6).
8. Given a right triangle with side lengths 7 and 24, find the length of the hypotenuse.
Given a right triangle with side lengths 9 and 40, find the length of the hypotenuse.
Given a right triangle with a = 20 and c = 29, find b.
Given a right triangle with b = 35 and c = 37, find a.
9. Given the Area of a rectangle is x2 – x – 12, find the dimensions. If x = -5, find the b & h.
10. Find the area of a triangle with
base = 12 and height = 7.
11. Given a triangle with area = 54
and height = 3, find the base.
12. Find x.
Find b.
13. Point A is to be graphed in a standard (x, y) coordinate plane.
a) If the x-coordinate and the y-coordinate of point A are both negative,
then in what quadrant is A?
b) If the x-coordinate is positive and the y-coordinate is negative,
then in what quadrant is A?
c) If the x-coordinate is negative and the y-coordinate is positive,
then in what quadrant is A?
d) Give the coordinates of an ordered pair that is on the x-axis ONLY.
14. On a standard die, with six sides numbered one through six, what’s the
probability of rolling a number that is strictly between 3 & 6? Between 3 & 6 inclusively?
15. Simplify :
a) 3 x 2  4 x  7 x  6  2 x
b)  7 x 2  3 x  5 x  5  9 x
16. Given ABC  XYZ, list all 6 congruent corresponding parts.
17. Identify the ratio for a) sin 
53
45

28
b) cos 
c) tan 
d ) Use tangent ratio to find 
18. For the similar triangles below,
find the missing area.
19. Find the length of each side of
a rhombus with diagonals of lengths 40 and 42.
Area = ? un2
Area = 20 un2
5 un
18 un
20. Given a regular pentagon below, find the area.
Round to the nearest tenth.
21. The volume of a sphere is 12 π cm3.
Draw, label & find the radius.
6 ft
11 ft
22. Given a segment with endpoints A(-4, -6) and B(-2, 8),
a) find the midpoint of the segment.
a) find the length of the segment. (slope triangle)
23. a) Find the area and circumference of the circle with radius 9cm.
b) If a circle has A=25π, find the radius & Circumference.
c) If a circle had C = 25π, find the radius & Area.
24. Given circle with radius 8cm and mAOB  60o ,
a) find the area of the shaded sector in exact form.
b) find the length of the arc AB in exact form.
c) find the measure of the arc AB.
25. The radius of the base of a cylinder is 4 in. The height is 12 in.
a) Draw the cylinder.
b) Find the total surface area.
c) Find the Volume.
26. A square pyramid has a slant height of 10 cm, each side of the square base is 5 cm AND the height of
the pyramid is 3 cm.
a) Draw the pyramid.
b) Find the total surface area.
c) Find the Volume.
27. For the prism below, find the volume.
28. Find x in the right triangle below.
11
2
5
3
x
8
42
4
29. The shapes at the right are similar.
a) Find the length of RS and QT.
b) If the area of the larger is 18.5cm2,
find the area of the smaller.
30. The measure of one interior angle of a regular polygon is 150.
a) Find the measure of one exterior angle of the polygon.
b) Find the number of sides.
c) Find the total number of degrees in the polygon.
d) Name the polygon.
 in circle O.
31. Find the arc length of AB
32. Solve for x.
H
8 in
O
A
E
3x
58°
K
B
5x - 15
F
33. How can you tell if two
lines are parallel to each other?
34. Solve: 7( x  8)  2 x  11
G
35. Find w, x, y & z in the circle below.
36. Find the value of x in the
figure to the below.
4
y
z
5
92
x
w
56
37. Rectangles A and B are similar.
a. What is the perimeter and area of each rectangle?
8
Perimeter A _____
Area A ______
Perimeter B _____
Area B ______
A
4
40
b. What is the ratio of their perimeters?
B
c. Their areas?
38. Use the diagram below to find the missing sides, x and y. Show all work.
30
x = ________
18
x
y = ________
y
3
x