Download GETE02CT

Chapter
2
•
•
•
2
Chapter Test
Chapter Test
1. Identify the hypothesis and conclusion:
16. The measure of an angle is 2z. What is the measure
of its supplement? 180 2 2z
If x + 9 = 11, then x = 2. Hypothesis: x ± 9 ≠ 11
Conclusion: x ≠ 2
17. The measure of an angle is 52 more than the measure
2. Write this statement as a conditional.
of its complement. What is the measure of the angle?
All babies are cute.
71
If something is a baby, then it is cute.
3. Find a counterexample to show that this statement
For each diagram, state two pairs of angles that are
is not true.
congruent. Justify your answers. 18–19. See back
of book.
If two angles are complementary, then they are
18.
19.
E
F
Counterexample:
two
45°
L 62 P
not congruent.
angles are complementary and congruent.
N
B
C
D
For each statement, (a) write the converse and
(b) decide whether the converse is true or false.
V
M
4–6. See margin.
4. If a figure is a rectangle,
then it has two right angles.
20. Rewrite this biconditional as two conditionals.
L3 Ch. 2 Test
L2 Adapted Ch. 2 Test
L4 Ch. 2 Alternative
Assessment
L3 Spanish Ch. 2 Test
L4 Spanish Ch. 2 Alternative
Assessment
• L2 Informal Geometry Ch. 2
Test, Forms D & E
• ExamView CD-ROM
• Ch. 2 Pre-Made Test
• Make your own Ch. 2 test
• Online Chapter 2 Test at
www.PHSchool.com
•
•
A fish is a bluegill if and only if it is a bluish,
freshwater sunfish. See back of book.
5. If two lines intersect,
then they lie in the same plane.
21. Complete this statement.
6. If it is snowing in South Carolina,
then it is not summer.
Writing Explain why each statement is not a
good definition.
7–9. See margin.
7. A pencil is a writing instrument.
8. Complementary angles are angles that form
a right angle.
9. Vertical angles are angles that are congruent.
L2
Adapted Chapter Test
Chapter Test
Name
Class
L3
Date
Chapter Test
Form A
For Exercises 10–14, name the property that justifies
each statement.
Trans. Prop. of ≠ or Subst. Prop.
10. If UV = KL and KL = 6, then UV = 6.
For each statement, (a) write the converse, and (b) decide whether the
converse is true or false.
1. If a polygon is a triangle, then it has three sides.
12. &ABC > &ABC Reflexive Prop. of O
For Exercises 4–8, name the property that justifies each statement.
13. If 12 m/D = 45, then m&D = 90. Mult. Prop. of ≠
4. If m&PHT = 53 and m&JYR = 37, then m&PHT + m&JYR = 90.
5. If XD = FY and FY = 12, then XD = 12.
6. If XY + JM = GT + XY, then JM = GT.
7. If 2(m&ABC) = 180, then m&ABC = 90.
B
C
D
32
O
A
G
E
Given: &FED and &DEW
are complementary.
15. Find the measure of each angle.
Prove: &FEW is a right angle.
a. &CDM 135 b. &KDM 135
11.
x)
(5
(7x)
(2x 27)
x
(3
12.
13.
)
12
c. &JDK 180 d. &JDM 45
K
C
D
B
J
M
e. &CDB 180 f. &CDK 90
(7x 9)
(x
(4x 5)
Geometry Chapter 2
(4x 1)
(2x)
Form A Test
21
120
4. a. If a figure has two
right angles, then
it is a rectangle.
b. false
120
27. Developing Proof Complete this
proof by filling in the blanks.
14. If &DEF > &HJK, then &HJK > &DEF.
Symmetric Prop. of O
For Exercises 10–13, find the value of the variable in each diagram.
10.
22. People who live in glass houses shouldn’t throw
stones. Lindsay shouldn’t throw stones.
not possible
23. James wants to be a chemical engineer. If a student
wants to be a chemical engineer, that student must
graduate from college.
James must graduate from college.
24. p S q and q S r are true statements. p S r is true.
F
D
F
7)
© Pearson Education, Inc. All rights reserved.
9. Use the diagram at the right to find the measure of each angle.
a. &AOF
b. &COD
c. &EOG
d. &BOG
e. &BOE
f. &FOB
For Exercises 22–26, use the Law of Detachment and
the Law of Syllogism to make any possible conclusion.
Write not possible if you cannot make any conclusion.
26. p S q and q are true statements. not possible
2. If George lives in Texas, then he lives in the United States.
3. If two angles are vertical angles, then they are congruent.
If two angles are complements of congruent
angles, the angles are 9. congruent
25. p S q and p are true statements. q is true.
11. If m&1 + m&2 = m&4 + m&2, then
m&1 = m&4. Subtr. Prop. of ≠
Chapter 2
8. RS = RS
PHSchool.com
For: Chapter Test
Web Code: aua-0252
Chapter 2 Chapter Test
5. a. If two lines lie in the same
plane, then they intersect.
b. false
6. a. If it is not summer, then it
is snowing in South
Carolina.
E
W
Proof: By the definition of complementary angles,
27b–d.
m&FED + m&DEW = a. 9. 90
See below.
m&FED + m&DEW = m&FEW by the b. 9.
90 = m&FEW by the c.9 Property of Equality.
Then, &FEW is a right angle, by the d.9.
b. Angle Add. Post. c. Subst. Prop.
d. def. of right l
b. false
7. The definition is not
reversible. A pen is a
counterexample.
8. The definition is not true.
Two nonadjacent angles
may be complementary.
9. The definiton is not
precise. Any two angles
can be congruent.