Math 2201 Practice for test
Unit 2: Properties of Angles and Triangles
Name: ***Answer Key on the back page!!
Part 1: Multiple Choice. Place the correct letter in the space provided. (7 Marks)
1. How many angles in this diagram measure 950? 1.______
(Include the given angle).
A). 3
B). 6
C). 9
D). 12
2. Which pair of angles are alternate exterior? 2.______
A). I and M
B). G and M
C). N and M
D). J and M
3. What is the measure of y0? 3.______
A). 700
B). 800
C). 1000
D). 1100
4. Why is ∆PQR ∆XZY ? 4.______
A). SSS
P X B). ASA
C). SAS
D). SSA
Q R Y Z
5. How many sides does a regular polygon have if each interior angle is 140 5.______
A). 6 B). 8 C). 9 D). 11
6. What is the measure of each interior angle of a regular 11-sided polygon? 6.______
A). 19800 B). 16200 C). 2200 D). 1470
7. The two triangles given below are congruent. What is the correct 7.______
congruency statement?
A). ∆ABC ∆DEC
B). ∆ABC ∆DCE
C). ∆ABC ∆ECD
D). ∆ABC ∆EDC
Part 2: Constructed Response. Place your answer in the space provided. Be sure to include any necessary workings to receive full marks. (20 Marks)
1. Find the measure of the marked angles and provide justification for each measure.
(6 Marks)
A).
B).
2. Find the missing angle measures. (2 Marks)
3. Given that ǁ , determine the measures of the
angles listed below. (You do not have to justify your
answers). (4 Marks)
a). BCA
b). CAD
c). FAD
d). Explain, whether or not, ǁ . Use information
gathered in the diagram to support your answer.
4. Solve for x. (3 Marks)
5. On a test Jessica was asked to use a two column proof to prove that ǁ .
Identify and correct any errors in her proof. (2 Marks)
Q
Given: SQT = 830 R P
QTU = 1510
RQS = 680
S U
T
Statement / ReasonSQT = 830 and RQS = 680 / Given
PQT = 290 / Straight line adds to 1800
QTU = 1510 / Given
PQT + QTU = 1800 / Alternate Interior Angles
ǁ / If alternate interior angles add to 1800, then the lines are parallel.
6. Complete the two-column proof. (3 Marks)
Given: ǁ
ǁ
Prove:
Statement Reason
Answers:
1. B 2. B 3. A 4. B 5. C 6. D 7. D
Part 2.
1. A) b = 58, c = 58, d = 58, e = 122 Check your justifications with your teacher
B) a = 54, b = 63 Check your justifications with your teacher
2. c = 120, d = 60 3. A) 65 B) 75 C) 65 D) no, alt int
4. x = 3 5. Last reason should be: same side interior instead of alternate interior
6. AB CD Given
Alternate Interior Angles are =
BC BD Given
Alternate Interior Angles are =
BD = BD Common side
ASA