Download Plane Geometry - Test - 12-13

Student Guess: _____
Name: ___________________________
Mr. Art & Mrs. Pagano
Date: __________________
Section: ________________
Test #____
Plane Geometry
X
Parent/Guardian Signature
Part I: Short Answer
1) In the following diagram, line ℓ is parallel to line m, and line t is a transversal.
If m8  100 o, find the remaining angles.
a) m1 = ____________
e) m5 = ____________
b) m2 = ____________
f) m6 = ____________
c) m3 = ____________
g) m7 = ____________
(2 pts each)
d) m4 = ____________
2) Using the diagram above and the words in the word box to fill in the blanks for a - d.
(2 pts each)
Word Box
Alternate interior
Corresponding
Alternate exterior
Supplementary
Vertical
a)  1 &  4 are ______________________
c)  4 and  8 are ______________________
b)  2 &  7 are ______________________
d)  5 and  6 are ______________________
3) Write the word that describes each picture.
(2 pts each)
a) ________________________
b) ________________________
c) ________________________
d) ________________________
1
4) Given:
JK  LM ,
mNLM  48 , and NLO is a line
(2 pts each)
FIND:
a) mMLK  ___________
c)
mKLO  _________
b) mJLN  ___________
d)
mJLO  ___________
5) In triangle DEF, m<D = 37° and m<E = 56°. Find the measure of an exterior angle at F.
6) In
ABC, m<A = 42° and m<C = 63°. What is the measure of <B ?
Part II: True or False  Write the full word, "True" or "False" on the line provided.
(4 pts)
(4 pts)
(2 pts each)
____________ 7) If m  a = 40o and m  a = 50o, then  a &  b are congruent.
____________ 8) All linear pairs are always supplementary.
____________ 9) If m  a = 180o, then it is called a Straight Angle.
2
Part III: Multiple Choice
(4 pts each)
_____10) In the accompanying diagram, line r is parallel to line s, and line t is a transversal.
Which must be a true statement?
(1) m1  m4  180
(3) m3  m6  180
(2) m1  m8  180
(4) m2  m5  180
_____11) The accompanying diagram shows a football player crossing the 20-yard line at an angle of 30°
and continuing along the same path.
What is the measure of angle B, where the player crosses
into the end zone?
(1) 30°
(3) 150°
(2) 60°
(4) 180°
Part IV: Long Answer  Solve ALGEBRAICALLY and show ALL work.
12) In the following diagram, given that lines r and t are parallel and are cut by transversal s.
(8 pts)
Word Box
Alternate interior
Corresponding
Alternate exterior
Supplementary
Vertical
a)  4 and  5 are _______________________ angles.
b) Solve algebraically for x.
c) Find m  4 = _________
3
13) In the accompanying figure, two lines intersect, m3  (6t  30) o , and m2  (8t  60) o .
(8 pts)
Word Box
Alternate interior
Corresponding
Alternate exterior
Supplementary
Vertical
a)  3 and  2 are _______________________
b) Solve algebraically for t.
c) Find m  4 = _________
14)
(6 pts)
a) Solve algebraically for x.
b) Find m  B = _________
4
(6 pts)
15)
a) Solve algebraically for x.
b) Find m  QPT = _________
16) The measure of the supplement of an angle is 4 times the measure of the angle.
Find the number of degrees in BOTH angles.
17) In the diagram below, line AB and line CD intersect at point P.
(8 pts)
(4 pts)
a) Name the angle that is always congruent to  APC.
b) On the lines provided below, explain why the two angles are congruent.
____________________________________________________________
____________________________________________________________
____________________________________________________________
____________________________________________________________
Student Feedback 
5
Bonus: You will only receive credit if EVERY part of this question is answered correctly! (+ 2 pts)
The complement of < 2 is 20o. The supplement of < 5 is 50o. Find the measure of all eight angles.
1
4
6
8
m < 1 = ___________
m < 2 = ___________
3
5
7
2
m < 3 = ___________
m < 4 = ___________
m < 5 = ___________
m < 6 = ___________
m < 7 = ___________
Show your work:
m < 8 = ___________
Student Feedback: What are you planning on being for Halloween? What do you think Mr. Art and Mrs.
Pagano should be for Halloween this year? Think back to your favorite Halloween
costume, what was it?
6