Honors Geometry - Meinke
Chapter 1 Test Review Packet
Covers Sections 1-1, 1-3, 1-4, 1-5, 1-6, 1-8, 1-9
BRING A CALCULATOR AND A PENCIL.
SHOW ALL YOU WORK.
PUT UNITS ON YOUR ANSWER.
Review the postulates 1-1 to 1-8
Formulas to memorize:
h
r
b
Perimeter = 2b+2h
Area = bh
Circumference C=
Area =
Formulas given on test:
√
Midpoint:
1.) Find a counterexample to show that the conjecture is false. c
Conjecture: The product of two positive numbers is greater than the sum of the two numbers.
a) 3 and 5
b) 2 and 2
c) 0.5 and 6
d) -1 and 6
Use this figure to answer questions 3 and 4.
Q
2.) Are O, N and P collinear? ___________no__________________
3.) Name an angle that is vertical to /MNP. __/ONQ____________________________
4.) What is the intersection of plane TUY and plane VYZ?_____UY________
5.) Name three labeled segments that are skew to SV._____TX, UY , ZY_________________________
6.) Name three labeled segments that are parallel to SV._____TU, XY, WZ_____________________
7.) Name a pair of parallel planes. ____ _SVU, WZY___________________________
Use this figure to answer questions to 11 to 12.
8.) Find the length of AC. ______________12______________________________
9.) Find the length of CB. ________________4_______________________________
10.) If EF = 2x – 12, FG = 3x – 15 and EG = 23, find the values of x, EF, and FG. (The drawing is not to
scale)
2x-12+3x-15=23
5x-27=23
5x=50
X=10
x=_________10______________ EF = ___2(10)-12=8__________ FG = _____3(10)-15=15__________
11.) If T is the midpoint of SU, find the values of x and ST. (The diagram is not to scale.)
9x=4x+25
5x=25
X=5
x=_________5_____________ ST = __________9(5)=45______________
Use this figure to answer questions 20 and 21
12.) Name an angle supplementary to /EOA. ________/AOC_________________
13.) Name an angle complimentary to /BOC______/COD__________________________
14.) If /EOA =
find /EOD= ___180-32=148_______ and /BOC = ___180-90-32=58__________
15.) If m/EOF = 26 and m/FOG = 38, then what is the m/EOG? (The diagram is not to scale.)
m/EOG=_____26+38__________________
16.)
30x+5+6x+5=118, x=3
17)
x+117+x+47=146, x=-9, <DHI=108
18) Find x, and m/SRH if
and m/SRQ is a straight angle.
x+43+x+147=180, x=-5,
19.) Given
(The diagram is not to scale.)
5x+3=2x+9
E is the midpoint of DG.
E is the midpoint of FH.
m/DEF =
DE =
EG =
FH = 22
Find m/DEH = _180-132__________
____22/2=11__________
x = ___4______
DE = ___23__________
FE =
20) Given O, P and Q are collinear points. P is between O and Q.
7y+9+3y+4=143
Find y = __13_____
OP = ___________
PQ = ______________
21.) Find the distance between point T(5, 2) and R(-4, -1). __________9.486___________________
Use this figure to answer questions 23 to 25.
22.) Label the midpoint between Landview and Oceanfront. |3- -2|=5
23.) What is the distance from Oceanfront to Seaside?__________________________
√
24.) Find the coordinates of the midpoint of the segment whose endpoints are H(8, 2) and K(6, 10).
(7,6)
Midpoint:
25.) Find the perimeter of the rectangle. (The drawing is not to scale.) 2(3)+2(5)=6+10=16
3
5
26.) Heather wants to put a fence around her rectangular pool. Her pool measures 9 meters by 3
meters. The pool has a deck around it that is 2 meters wide. How much fencing material does Heather
need to enclose the pool and the deck? (don’t forget to put units on your answer.)
Draw a picture:
Fencing needed__________________________
2(9+2+2)+2(3+2+2)=
27.) Find the circumference of the circle in terms of .
___2(39)
_in squared
(Don’t forget to put units on your answer.)
28.) Find the area of the circle in terms of .
(Don’t forget to put units on your answer.)
______(28)(28)
_meters squared
29.) Find the area of a rectangle with a base of 3 cm and height of 4 cm. (Don’t forget to put units on
your answer.)
____________________12 cm squared___________________________________
30.) Find the area of a circle with a radius or 5 cm. (Don’t forget to put units on your answer.)
_______________________25
cm squared_______________________________
31.) Find the area of the shape below. (all angles are right.)
15
6
6
3
5
5
3
5
There are many ways to do this problem here is one.
6(15)-3(5)
32.) Find the area of the shaded region.