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S. Hiles
Honors Geometry
Chp 2 Test
Name
Date
Multiple Choice and Short Answer.
1. What is the contrapositive of: If the measure of an angle is less than 90° , then it is
an acute angle.
a.
b.
c.
d.
e.
If the measure of an angle is  90°, then it isn’t acute.
If an angle isn’t acute, then it’s measure is  90 °.
If an angle is acute then it’s measure is less than 90°.
The measure of an angle is less than 90° if and only if it is acute.
none of the above
2. Tell whether the original conditional from #1 is true or false, if false provide a
counterexample.
3. What is the inverse of : If 2 lines intersect to form a right angle then they are
perpendicular.
a. If two lines are perpendicular then they form a right angle.
b. Two lines intersect to form a right angle if and only if they are perpendicular.
c. If two lines aren’t perpendicular then they do not form a right angle.
d. if two lines intersect and do not form a right angle, then they are not
perpendicular.
e. none of these
4. Tell whether the original conditional in #3 is true or false, if false, provide a
counterexample.
5. Write the converse of: If two angles are adjacent then they are a linear pair.
a.
b.
c.
d.
e.
Two angles are a linear pair if and only if they are adjacent.
If two angles aren’t adjacent then they do not form a linear pair.
If two angles form a linear pair then they are adjacent.
If two angles do not form a linear pair then they aren’t adjacent.
none of these
6. Tell whether the original conditional in #5 is true or false, if false, provide a
counterexample.
7. What does the following symbolic notation mean: ~p  ~q
a.
b.
c.
d.
e.
It’s the converse of the conditional if p then q.
It’s the inverse of the conditional if p then q.
It’s the contrapositive of the conditional if p then q.
It’s the biconditional of if p then q.
none of these.
Tell whether each statement is Always(A), sometimes(S) or never(N) true.
______8. The sum of the measures of two acute angles equals the measure of an obtuse
angle.
______9. If <XAY and <PAQ are vertical angles, then either X, A, and P or X, A, and Q
are collinear.
______10. The sum of the measures of two obtuse angles equals the measure of an
obtuse angle.
______11. The difference between the measures of the supplement and the complement
of an angle is 90°.
______12. If two angles form a linear pair, then they are complementary.
______13. If a statement is true, then its converse is true.
Complete the statement given that m<BHD = m<CHE = m<EHF = 90°
14. m<3 = 42°, then m<6 = ______.
A
B
15. If m<BHE = 142°, then m<1 =
______.
G
2 3
4
1
5H
7
C
F
6
D
E
17. If m<EHG = 132°, then <7 = _____.
18. If m<7 = 51° then m<3 = _____.
19. If m<EHB = 153°, then m<2 = _____
16. If m<1 = 37°, then m<6 = ______.
Supply the missing reason or statement in the partial proof.
20.
x-9=4
x = 13
given
20. ______________
21.
AB=CD
CD=EF
AB = EF
given
given
21._______________
22.
x = 3y+5
y=7
x = 3(7)+5
given
given
22. ______________
23.
AC = DF
DF = AC
given
23. ______________
24.
X is the midpoint of AB
24. ___________________
given
Definition of midpoint
25.
<5 and <6 are vertical angles
given
<5  <6
25a. ________________
m<5 = m<6
25b. ________________
26.
x = 11
x - 1 = 10
given
26. _________________
27.
<1 and <2 are supplementary angles given
m<1 + m<2 = 180°
27. _________________
Complete the proof.
28.
Given: m<6=m<7
Prove: <5=̃<8
5
7
6
8
Statements
Reasons
1. m<6 = m<7
1.
2. <6 =̃ <7
2.
3. <5 =̃ <6 ; <7 =̃ <8
3.
4. <5 =̃ <8
4.