Practice Quarterly 1
NAME:__________________________ CLASS:________________
QUARTERLY FOR THIS CLASS IS ON:____________________
1) Draw a square with an area of 4 units.
3) Draw a parallelogram with an area of 2.
2) Draw a triangle with an area of 4.5 units.
4) What is the area of the following polygons?
A
B
5) What is a quadrilateral?
Name at least three different types of quadrilaterals:
a)
b)
c)
6) Write down the point, line segment, a ray, and a plane in the figure below?
A point is: A segment is:
C
F
A ray is:
E
The plane is:
B
D
G
A
7) Give your own example of a plane and label all the points, rays, lines, and segments.
8) Angle B and Angle D are congruent. How would you show this in the figures below.
D
B
A
C
D
C
B
9) How would you show that sides AB and CD are congruent?
B
C
C
D
B
A
E
D
A
F
10) Identify the base angles of the polygon below. Then mark the congruent sides ED and CD.
d
c
e
a
b
11) Name the shape. Identify the
formula used to find the area. Then find the area. 4mm
4mm
5 in
5
mm
4 in
12 mm
Shape:________
Formula:_______
Area:__________
Perimeter:______
6
mm
10in
7 mm
Shape:________
Formula:_______
Area:__________
Perimeter:______
10 cm
1 ft
2m
6 ft
Shape:________
Formula:_______
Area:__________
Perimeter:______
Shape:________
Formula:_______
Area:__________
Perimeter:______
14
m
m
Shape:________
Formula:_______
Area:__________
Perimeter:______
3
cm
8 cm
5
10 cm
Shape:________
Formula:_______
Area:__________
Perimeter:______
12) Find the trignometric ratio in the figure below. Write it down as a decimal to the nearest hundreth and as a fraction.
15
B
C
Sin A:
CosA:
TanA:
17
Identifying below will help!
23
A
SinC:
SOH:
CosC:
CAH:
TanC:
TOA:
13) Find the missing side using trig. Round your answer to the nearest tenth.
E
A
o
B
35
DE:_______
H
GH:______
12
BC:______
C
62
D
18
4
o
F
G
41o
9
I
14) I have a 25 foot ladder leaning against my house. The ladder is 10 feet away from the foundation of the house. How high up does the ladder reach?
15) Mrs. Simon and Mr. Smith are jogging together to get ready for a marathon. They start at Mrs. Simon's home and jog 4 miles north to Silver Lake Park where they meet Mrs. Majeed. Mrs. Majeed suggests that all three head 3 miles west to Dover High. What is the shortest distance from Mrs. Simon's home to Dover High? Draw a diagram below. Label all sides and solve. Show all your work please.
16) Mrs. Majeed decides to drive her boat on a nice sunny day. Soon she realizes she has run out of fuel for the boat and becomes stranded. Ms. Carr receives a signal for help from Mrs. Majeed at the coast guard station. The angle of elevation from the boat to the station is 55 degrees. Assuming that Mrs. Majeed's starting point of travel was 12 miles south of the station, how far out to the sea did she travel? Find the distance using trigonometry.
coast
guard
12
miles
55
o
x
17) Find the trig ratios. Look carefully at the pictures and find the missing side with the question mark.
a)
b)
o
28
?
o
69
c)
d)
75
o
32
o
Show your work for #17 here.
18) Find the missing side using the pythagorean theorem. Round your answer to the nearest tenth.
x = x = x = ____
x = ____
= x x = x = ____
x = ____
19) What is the relationship between the following angles? a) <1 and <3:_________________
1
4
2
b) <2 and <4:_________________
3
c) <1 and <7:_________________
5
8
d) <3 and <5:_________________
6
7
e) <4 and <5:_________________
f) <6 and < 7:_________________
g) <3 and <7:_________________
20) What is the measurement of:
o
a) <2:_______________
Theorem:
30
1
3
2
b) <3:_______________
Relation:
c) <4:_______________
Theorem:
d) <6:_______________
Theorem:
5
4
7
6
21) Find x:____________
What's the measurement of each angle:_____________
o
(x+10)
(2x)
o
22) Find x:____________
What's the measurement of each angle:_____________
(x+1
0) o
o
(2x)
o t
g !
n
i
r h
t
e
me emb
o
S em
r
Polygon
3 sides = triangle
4=quadrilateral
5=pentagon
6=hexagon
7=heptagon
8=Octagon
9=nonagon
10=Decagon
11= Hendecagon
12=Dodecagon
13=13­gon
14 =14­gon