Download Semester 1 Final Review B

Semester 1 Final Review #2
Name______________________________
5
1. Given a line with the following equation y  x  7
3
a) Graph a line through (0, 5) that is
parallel to the given line.
What is the equation of the line?
____________________
b) Graph a line through (0, 5) that is
perpendicular to the given line.
What is the equation of the line?
____________________
2. True or False?
________ The base and height of a figure are perpendicular.
________ Area is measured in square units.
________ Congruent figures are always similar.
________ If FG, then F is congruent to G.
________ All rectangles are similar.
________ If two shapes are congruent, then their ratio of similarity is 1:1.
________ All equilateral triangles are not similar.
3. Find the measure of each angle and justify the relationship you used.
b 110°
a
c
d
35°
angle measure
a
b
c
d
justification
4. Are the triangles similar. If so, use a flowchart to show that the
triangles are similar.
a) Is RAP  NOK?
B) Is EAB  ECD?
R
6
B
A
9
N
Check
Answers:
75
7.5
false
false
false
true
true
true
true
1.25
70
70
by SAS
3.33
1.75
35
O
8
9
15
P
A
10
K
E
5
C
4
D
y=5/3X+5
y=3/5X+5
5. Solve for the missing lengths in each figure. SHOW WORK.
a) 9
4
6
b) ABCDE  JKLMN
5
v
r
A
B
2
0
r= ________ v = ________
C
E
v
r
D
J
L
K
8
N
7
5
M
r = ________ v = ________
6. Brian, an avid birdwatcher, has spotted
something unusual at the top of the 35-foot
tall oak tree across the street. Eager to
identify the bird, he stands in the doorway
and looks through his binoculars, so that he
doesn’t scare the bird away. Brian’s eyes
are 5.7 feet off the ground, and he
estimates that his angle of sight up to the
bird is 55°. How far is Brian from the base
of the tree?
7. Find the specified value.
a. Find the value of y.
55
35”
°
x
5.7”
b. Solve for x. The rectangle
has a perimeter of 40.
4x + 10
6x – 20
y
2x+1
x-6
Multiple Choice. Show all work.
8. The measure of EKG is:
(A) 140
(B) 20
(C) 40
(D) 80
(E) none of these
H
E
4x
K
6x – 20
G
F
9. IF the points A (-4,5) and B (8,-3) are plotted on a graph. What will
be the slope of AB ?
a)
12
8
b)
8
12
c)
3
2
d)
2
3
e) none of these
10. Given that the area of PQR is 24 in2, then the length of QR is___.
P
(A) 6 in
(B) 10 in
(C) 12 in
(D) 73 in
(E) none of these
8
Q
R
11. Given 1 = 2, which theorem could be used
to show that ABN~YXN?
B
(A) AA
(B) SAS
(C) SSS
(D) ASA
(E) none of these
Y
2
A
3
N
1
4
X
Use the diagram to the right for next problems.
Given m \\ n
12.
8
5 and 7 are ____________ angles.
7 and 2
Check
a
Answers
3
7
(B) vertical
(D) corresponding
are ____________ angles.
(A) supplementary
(C) alternate interior
(E) none of these
c
b
(B) vertical
(D) corresponding
b
c
d
20.52 8.33
2
1
5 6
(A) supplementary
(C) alternate interior
(E) none of these
13.
n
m
94
4