Download Homework Packet for 11/02 to 11/06 • Due Tuesday

PreAP Geometry
Name:_________________________
Homework Packet for 11/02 to 11/06
 Due Tuesday: 1st page.
 Due Wednesday: 2nd page.
 Due Thursday: 3rd page.
 Due Friday: 4th page.
MMMM… I want more
Snickers and M&M’s
Foreman High School
RFS PPF 402
Name:
Review: XEI 301 – Substitute whole numbers for unknown quantities to evaluate expressions.
Focus: PPF 402 – Exhibit knowledge of basic angle properties and special sums of angle
measures (e.g., 90°, 180°, 360°)
Stretch: PPF 501 – Use several angle properties to find an unknown angle measure
Level 1 Problems (Review – XEI 301)
1. Evaluate the following expressions.
b) xy  31 , for x=6 and y=9
a) 6 x  20 , for x=7
d)
x  18
, when x=12
x 6
b2  5
e)
, for b=4
b 1
g) For which values of x and y will the expression
 x  7 y  12 equal 42?
A.
x  8 and y  19
B.
x  12 and y  1
c) 2m2  3m  6 , m=4
f)
x  2y
, for x=7, y=4, z=2
z 1
bh
,
2
where b is the length of the triangle’s base and h is
the height of the triangle. Suppose a triangle has a
base that is 7cm long and a height that is 4cm. What
is the area of this triangle?
h) A formula for the area of a triangle is: A 
x  9 and y  3
D. x  10 and y  2
C.
E.
x  11 and y  1
But wait…
There’s
more!!!
Answer: __________
Answer:__________
Level 2 Problems (Focus – PPF 402)
2. Determine the value of x in each of the figures below. In each problem, you should be able to state the
geometric property you are using. (For example, “Vertical angles are congruent”)
a)
b)
c)
112°
x°
56°
x°
d)
e)
83°
46°
42°
107°
56°
x°
f) An angle has a measurement of
126°.
i) What is the measure of its
supplement?
31°
x°
28°
122°
g)
x°
h) Find all the missing angle
measures.
ii) Does this angle have a
complement?
i) Find all the missing angle
measures.
x°
120°
?
?
100°
51°
?
?
j) Two angle measurements have been provided in
the figure below. Use them to determine the value
of x.
k) Given the figure below, what is the value of x?
x°
73°
81°
x°
67°
136°
A.
B.
C.
D.
E.
?
45°
79°
43°
?
17
47
64
107
244
Answer: __________
A.
B.
C.
D.
E.
76
99
113
136
cannot be determined
Answer: __________
Level 3 Problems (Focus – PPF 402)
a) Determine the value of x.
b) Suppose two angles form a linear pair. If one
angle is 30° more than the other, find the measures
of both angles.
Sketch:
(3x+14)°
(5x+6)°
Answer:__________
Answer:__________
c) Write an equation for x and solve it!
Stand Back!
(12x+10)°
(9x+8)°
(7x-6)°
Answer:__________
d) Use the figure below to determine the value of x.
e) In the figure below, what is the measure of DBC
?
A
(4x+42)°
(8x-22)°
B
E
(9x-2)°
D
A. 5
B. 5.3
A. 13°
B. 65°
C. 13.3
D. 16
E.
16.3
Answer: __________
(5x)°
C. 115°
D. 127°
E. 180°
Answer: __________
C
f) The measurements of a pentagon’s angles have
the ratio 1:2:2:2:3. Find the measure of the largest
angle.
A.
B.
C.
D.
E.
g) What is the measure of each interior angle of a
regular decagon? (Hint: A decagon has 10 sides.)
A.
B.
C.
D.
E.
10
54
108
162
216
60°
144°
180°
1440°
1800°
Answer: __________
Answer: __________
h) Think about it! Could x equal 10?
i) Suppose two angles form a linear pair. If their
measurements have ratio 3:7 , what are their
measurements?
(9x+8)°
Sketch:
(11x-9)°
Explain:
Answer:__________
Level 4 Problems (Stretch – PPF 501)
Determine the value of x in each figure.
a)
b)
Absolutely
Delicious!!!
x°
43°
76°
122°
68°
75°
x°
118°
c)
83°
d)
x°
25°
39°
x°
107°
37°
39°
46°