solution

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PLEASE NOTE: This study guide is not all-inclusive. It is intended to highlight BIG IDEAS from the unit. It is not,
however, intended to replace any of the following: regularly attending class, consistently completing homework, participating
in class, asking/answering questions, and obtaining extra help on an as-needed basis.
NAME: ANSWERS TO SELECT PROBLEMS PD_____ DATE_______________
UNIT TWO STUDY GUIDE
MATCHING Choose the BEST answer. Use CAPITAL LETTES ONLY.
(10 points; ½ point
each)
1.
2.
3.
4.
5.
6.
Vertex in GBI
Vertex  in isosceles  BIG with
BI = IG
B.
C.
A.
B.
Obtuse, acute, right
Point, line, plane
A.
C.
Scalene, isosceles, equilateral
K.
M.
L.
D.
E.
F.
Supplementary
Complementary
Equiangular and equilateral
7.
uuur
 ABC with angle bisector BO
G.
G.
ABO  OBC
8.
Two angles whose sum is 90
E.
H.
9.
Non-intersecting, non-coplanar
lines
Non-intersecting, coplanar lines
Coplanar or non-coplanar lines
which intersect to form right
angles
Regular polygon
Line segment in a triangle which
connects a vertex to the midpoint
of the opposite side
Measure of line segment UP
written symbolically
Segment AB with midpoint M
Perpendicular segment in a triangle
which connects vertex to the
opposite side
//
Q.
I.
AM  MB
median
P.
O.
J.
K.
Read: “is parallel to”
Read: “is perpendicular to”
F.
T.
L.
M.
I
B
S.
N.
altitude
H.
N.
O.
P.
Perpendicular lines
Parallel lines
J.
Q.
R.
Skew lines
S.
T.
UP
MEDIAN
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
1
3 basic building blocks of geometry
Classification of s by lengths of
sides
Classification of s by angle
measures

UP
PLEASE NOTE: This study guide is not all-inclusive. It is intended to highlight BIG IDEAS from the unit. It is not,
however, intended to replace any of the following: regularly attending class, consistently completing homework, participating
in class, asking/answering questions, and obtaining extra help on an as-needed basis.
INTERRETING INFORMATION FROM DIAGRAMS Use Y (YES) or N (NO) to tell whether or
not each statement may be assumed from the given diagram (4 points; ½ point each). NOTE:
Ask, “What symbol/symbols would I need to add to the diagram to be able to answer these
questions with YES?” Some symbols may not appear correctly if you are using your phone,
rather than a computer.
YES
NO
NO
YES
NO
18.
19.
20.
21.
22.
YES
NO
21.
22.
NO
23.
P, Q, and R are collinear
RSP is a right angle
 QTR is isosceles
STQ is adjacent to QTR
R is the midpoint of TU
Q is between V and T
PS // QT
PQTS is a trapezoid
Use the diagram below (and correct notation) to answer the following:
23.
Using MH , name the same
ray twice (two different
ways): MULTIPLE CORRECT
(3 points; ½ pt. each)
⃗⃗⃗⃗⃗⃗⃗
⃗⃗⃗⃗⃗⃗⃗ 𝑀𝐻,
⃗⃗⃗⃗⃗⃗⃗⃗
𝑀𝐴, 𝑀𝑇,
ANSWERS KEY: SAME RAY:
SAME DIRECTION AND SAME
ENDPOINT
24.
M
A
T
Using MH , name two
different rays: MULTIPLE
⃗⃗⃗⃗⃗⃗ , ⃗⃗⃗⃗⃗
𝑀𝐴
𝐻𝑇
CORRECT ANSWERS KEY:
DIFFERENT RAY: DIFFERENT
DIRECTION AND/OR DIFFERENT
ENDPOINT
H
25.
Using MH , name a pair of
opposite rays: MULTIPLE
⃗⃗⃗⃗⃗⃗ , 𝐴𝑇
⃗⃗⃗⃗⃗⃗⃗
𝐴𝑀
CORRECT ANSWERS. KEY: SAME
ENDPOINT AND OPPOSITIE
DIRECTIONS
Use the diagram below (and correct notation) to answer the following:
NOTE: MULTIPLE CORRECT
RESPONSES
(4 points)
26. Name the angle marked
DEC, CED, 2
27. Name two angles whose sum is
ABD & DBC
with * as many ways as possible
m ABC.
28. Name a pair of vertical angles.
2
4, 5
PLEASE NOTE: This study guide is not all-inclusive. It is intended to highlight BIG IDEAS from the unit. It is not,
however, intended to replace any of the following: regularly attending class, consistently completing homework, participating
in class, asking/answering questions, and obtaining extra help on an as-needed basis.
4
*
5
What makes these
vertical angle
pairs?...linear pairs of
angles?
2, 5
28. Name a linear pair of angles
Drawing / Labeling
30. Sketch and label each figure. NOTE: YOU MAY NEED TO “ADJUST” VERTICES!
PLAN CAREFULLY!
a.) Trapezoid TRAP with
//
AP and TR  AR
R
(
AG parallel to sides
RE and NI .
diagonal
SM .
T
S
R
5
A
c.) Hexagon REGINA with
b.) Scalene ∆ PTS with PS = 3,
ST = 5, and PT =7, and median
TR
P
T
E
3
3½
3½
S
A
G
N
I
1. 31. “A square is a rectangle and a rhombus.” True or False. Be prepared to
support your answer. Drawing a VENN Diagram may help you with this one! 
(Done in class. Check your notes!)
_________________________________________________________________
32. “An equilateral triangle is also isosceles.” True or False. Be prepared to support
your answer Drawing a TREE DIAGRAM may help you with this one!  (Done in class.
Check your notes!)
__________________________________________________________________
A PICTURE IS WORTH A THOUSAND WORDS Read…and re-read…each problem below,
determining what information is given and what you need to find. Then draw and label a diagram.
Finally, solve the problem. KEY; A PICTURE IS WORTH A THOUSAND WORDS! DRAW AND
3
PLEASE NOTE: This study guide is not all-inclusive. It is intended to highlight BIG IDEAS from the unit. It is not,
however, intended to replace any of the following: regularly attending class, consistently completing homework, participating
in class, asking/answering questions, and obtaining extra help on an as-needed basis.
LABEL A COMPASS (WITH NORTH, SOUTH, EAST, AND WEST) TO HELP ORGANIZE
YOUR LABELED DIAGRAM!
2. Meg A. Byte is lost in the woods 15 km east of the north-south Seneca
School Road. She begins walking in a zig-zag pattern: 1 km south, 1 km west,
1 km south, 2 km west, 1 km south, 3 km west, and so on. Meg walks at the
rate of 4 km/h (kilometers per hour). If it is 3 pm now and sun sets at 7:30,
will there still be sunlight when she reaches Seneca School Road? (Done in
class. Check your notes!)
4
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