Geometry Practice A1
Name
Period
1.
What are the three undefined terms of geometry?
2.
The tip of a pencil is an example of:
3.
Give another example of your own:
4.
The edge of a piece of paper is an example of:
5.
Give another example of your own:
6.
The top of your desk is an example of:
7.
Give another example of your own: D l E
_____________
F
G m
H
_____ 8.
(T/F) Point D lies on line l.
_____ 9.
(T/F) Point E lies on line l.
_____ 10.
(T/F) Point F lies on line m.
_____ 11.
(T/F) Point G lies on line m.
_____ 12.
(T/F) Points D, E, & F are collinear.
_____ 13.
(T/F) Points G, E, & F are collinear.
_____ 14.
(T/F) Points D, G, & H are coplanar.
_____ 15.
Points G, & F are collinear with which point?
_____ 16.
Points D, & F are collinear with which point?
_____ 17.
Points G, & E are collinear with which point?
_____ 18.
Points H, & F are collinear with which point?
LVHS Geometry 2012-13
_____
Page 1 of 15
L
M
K
N
Q
R
P
S
_____ 19.
Name a point that is coplanar with points K, L, & M.
_____ 20.
Name a point that is coplanar with points N, S, & M.
_____ 21.
Name a point that is coplanar with points P, S, & R.
_____ 22.
Name a point that is coplanar with points P, S, & K.
_____ 23.
Name a point that is coplanar with points Q, L, & M.
_____ 24.
Name a point that is coplanar with points K, L, & R.
25.
What is: D
26.
What is: n
27.
What is:
28.
Sketch and label point A.
29.
Sketch and label CD .
30.
Sketch and label plane
Q
Q.
_____ 31. How many dimensions does a line have? _____ 32. How many dimensions does a plane have? _____ 33. How many dimensions does a point have?
LVHS Geometry 2012-13
Page 2 of 15
Geometry Practice A2
Name
1.
A flashlight is an example of:
2.
Give another example of your own:
3.
Your pencil is an example of:
4.
Give another example of your own: A
C
B D
E
_____________
F
G
_____ 5.
What other point is on AG ?
___________ 6.
What is the name of points F & D on FD ?
_____ 7.
(T/F) AG and CG are opposite rays.
_____ 8.
(T/F) BC and BA are opposite rays.
_____ 9.
(T/F) AC and CA are opposite rays.
_____ 10.
Give the initial point of AD .
_____ 11.
CF also goes through which point?
_____ 12.
BG also goes through which point?
_____ 13.
DG also goes through which point?
_____ 14.
What figure is the intersection of a line and a plane?
_____ 15.
What figure is the intersection of two lines?
_____ 16.
What figure is always the intersection of two planes?
LVHS Geometry 2012-13
Page 3 of 15
Geometry Practice A3
Name
_____________
A
B
_____ 1.
Write the name for this angle.
_____ 2.
Write another name for this angle.
________________
3.
Estimate the classification of this angle.
____° 4.
Using a protractor, measure this angle. Give the degree measurement.
_____ 5.
What is the name of the angle’s vertex?
_____ 6.
Properly name the upper side.
7.
C
Place point D in the angle’s interior.
____° 8.
Use the Angle Addition Postulate to find mTLC .
T
28o L
U
16o C
________________
9.
Classify this angle.
________________
10.
Classify this angle.
________________
11.
Classify this angle.
LVHS Geometry 2012-13
Page 4 of 15
Plot the following points. R(-9, 7), S(-5, -4), T(11, -4), U(-5, 7), and V(11, -8). Connect S to each of the other points with a straight line. ________________
12.
Classify RST .
_____ 13.
(Y/N) Is point U in the interior of RST ?
_____ 14.
(Y/N) Is point T in the exterior of USV ?
________________
15.
Classify (by estimation) UST .
________________
16.
Classify (by estimation) VST .
____° 17.
Measure RST in degrees. [Was your estimate correct?]
____° 18.
Measure VST in degrees. [Was your estimate correct?]
x=___ 19.
Find x. mWXY x 7 ° , mYXZ 2 x 3 ° and mWXZ 31° .
x=___ 20.
Find x. DKJ BYU , mDKJ 11x 4 ° and mBYU 8 x 5 ° .
LVHS Geometry 2012-13
Page 5 of 15
Geometry Practice A4
Name
_____________
_____ 1.
Every line contains at least ____ points.
_____ 2.
(Y/N) Does it contain more?
_____ 3.
At least ____ points determine every line.
_____ 4.
Two different lines can intersect in only ____ point(s).
_____ 5.
(T/F) Any three points determine a plane.
___________ 6.
If three points determine a single plane the points must be:
_____ 7.
Every plane contains at least ____ points.
_____ 8.
(Y/N) Does it contain more?
___________ 9.
If two different planes intersect, the intersection is a:
_____ 10.
(T/F) If two points lie in a plane, then the line containing them lies in the plane.
_____ 11.
(T/F) Postulates are statements of truth.
_____ 12.
(T/F) We will prove postulates to be true.
LVHS Geometry 2012-13
Page 6 of 15
Geometry Practice A5
Name
1 5
_____ _____ _____ _____ _____ _____
1. 2. 3. 4. 5. 6.
(T/F) (T/F) (T/F) (T/F) (T/F) (T/F)
2
3
4
1 and 2 are adjacent. 5 and 3 are vertical. 4 and 2 are vertical. 1 and 3 are vertical. 4 and 5 are a linear pair. 4 and 3 are a linear pair.
6
7 9
8
____ ____ _____ ____ ____
7. 8. 9. 10. 11.
If m6 63° , then m8 If m7 111° , then m9 (T/F) 7 and 9 are congruent. If m7 144° , then m8 If m6 59° , then m9
____ ____ ____ ____
12. 13. 14. 15.
If If If If
C and D are supplementary, and mC 17° , then mD C and D are supplementary, and mC 27° , then mD A and B are complementary, and mA 55° , then mB A and B are complementary, and mA 83° , then mB B
C
A E __________ __________
_____________
16. 17.
LVHS Geometry 2012-13
D
AEC and CED are: BEC and CED are: Page 7 of 15
18.
x = _______
19.
y = _______
140 (x – 5)
40 (5y – 10)
20.
a = _______
21.
b = _______
(7b + 8) (5a + 7)
(2a – 8) (4b – 1)
(c + 12) 22.
c = _______
23.
d = _______
24.
r = _______
25.
s = _______
26.
u = _______
27.
v = _______
28.
mFGH _____ °
(2c – 3)
(2d + 5) (7 – 10d)
(5r + 2) (3s – 6)
38
F (7v + 88)
(2u + 42)
G (117 - u) (4v + 88)
LVHS Geometry 2012-13
H
Page 8 of 15
Geometry Practice A6 1.
Name
_____________
What does the Ruler Postulate tell us?
_____ 2.
What is FG?
a.
Segment FG
_____ 3. a.
b.
The length of segment FG
What does congruent mean? same size
b.
same shape
c.
4.
How do we know segments are congruent?
5.
What does “iff” stand for?
6.
Write the distance formula:
Both a and b
_____ 7.
What is the distance from (-2, 5) to (1, 1)?
_____ 8.
What is the distance from (11, 25) to (16, 37)?
_____ 9.
What is the distance from (-7, -11) to (7, 11)?
_____ 10.
How large is AC?
_____ 11.
A
35
12
What is AB? A
LVHS Geometry 2012-13
C
B
68 B
C
100 Page 9 of 15
x=___ 12.
What is x? A
x=___ 13.
What is x? A
5x
3x B
24 5x - 3
4x + 2 71
14.
If SD PV , and SD = 3x + 4 and PV = 4x – 3; what is x?
How long is PQ in mm? P
17.
C
B
Write the segment addition postulate for: “K is between D and J”
x=___ 15.
16.
C
How long is RS in cm?
Q
S
R
T
18.
How long is TU in inches?
U LVHS Geometry 2012-13
Page 10 of 15
Geometry Practice A7
Name
1.
Define a midpoint:
2.
Define a segment bisector:
_____ 3.
4.
_____________
B is the midpoint of AC . AC = 48. Find BC.
GH MN . Mark the segments correctly: G
H
M 5.
N
What is the midpoint formula?
(____, ____) 6.
What is the midpoint between (6, 8) and (2, 10)?
(____, ____) 7.
What is the midpoint between (-5, 11) and (4, 2)?
Write the two congruency statements indicated in the figure. 8. 9. (_____, _____)10.
LVHS Geometry 2012-13
A
B
D
C
If M (900, 400) is the midpoint between A (100, 300) and C, what are the coordinates of C? Page 11 of 15
Geometry Practice A8
Name
1.
Define an angle bisector:
2.
Mark angles A and B as congruent.
A x=___ 3.
_____________
B If W U and mW x 8° and mU 3x 2° , find x.
VS bis RVT
S
R
T
53 _____ 4.
What is mSVT ?
_____ 5.
What is mRVT ?
ZX bis WZY W
(5x – 11) X (4x + 4)
_____ 6.
What is x?
_____ 7.
What is mWZY ?
LVHS Geometry 2012-13
V
Y
Z
Page 12 of 15
_____ 8.
What is mXZY ?
Geometry Practice A8
Name
_____________
Use construction to do these problems. 1.
Find the midpoint of AB:
A
2.
B
Bisect angle C.
C
LVHS Geometry 2012-13
Page 13 of 15
Geometry Practice A9R
Name
_____________
1.
Can I identify and give examples of points, lines, and planes?
2.
Can I define and identify line segments, rays, and opposite rays?
3.
Can I give examples of line segments and rays?
4.
Can I define and identify angles and their parts?
5.
Can I define congruency, congruent angles, and congruent line segments?
6.
Can I define and identify adjacent angles, vertical angles, and linear pairs?
7.
Can I define and identify complementary and supplementary angles?
8.
Can I define and identify midpoints, segment bisectors, and angle bisectors?
9.
Can I identify the correct number of dimensions for points, lines, and planes?
10. Can I identify intersections of rays, points, lines, and planes? 11. Can I use the correct symbology for points, lines, and planes? 12. Can I use the correct symbology for line segments and rays? 13. Can I use the correct symbology for angles, segments, and segment lengths? 14. Can I use and recognize congruency markings on figures? 15. Can I measure and classify angles by their measurement? 16. Can I measure line segments? 17. Can I explain and use the Protractor and Ruler Postulates? 18. Can I explain and use the Angle Addition Postulate? 19. Can I explain and use the Segment Addition Postulate? 20. Can I explain the basic postulates about lines and planes? 21. Have I memorized the distance and midpoint formulas? 22. Can I solve algebraic problems involving the distance and midpoint formulas? 23. Can I solve algebraic problems involving congruent, vertical, complementary, and supplementary angles? 24. Can I solve algebraic problems involving angle addition and linear pairs? LVHS Geometry 2012-13
Page 14 of 15
25. Can I solve algebraic problems involving midpoints, angle bisectors, segment addition, and congruent segments?
LVHS Geometry 2012-13
Page 15 of 15
