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Unit Test
Math 203A: Geometry | Unit 02: Methods of Proof and Logic | Lesson 16: Unit Test
Name: Shafa
Date: 10/2014
Graded Assignment
Unit Test, Part 2
Answer the questions below. When you are finished, submit this test to your teacher by the due date for full credit.
1. Complete the proof by filling in the missing reasons for six steps. (3 point per step)
Score
Here are some possible reasons: (Note: Not all of these will be used.)
definition of a right angle
segment addition postulate
division property of equality
definition of linear pairs
addition property of equality
linear pair property
Substitution Property of
equality
definition of supplementary
angles
Given: m1 = m2
And points D, F, and E are colinear
Prove: AB  ED
Statements
m1 = m2
1 and 2 form a linear pair
1 is supplementary to 2.
m1 + m2 = 180
m1 + m1 = 180
2(m1) = 180
m1 = 90
1 is a right angle.
 AB  ED
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Copying or distributing without K12’s written consent is prohibited.
Reasons
Given
Definition of linear pair.
b.
c.
d.
Definition of like terms
e.
f.
Definition of perpendicular lines
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Unit Test
Math 203A: Geometry | Unit 02: Methods of Proof and Logic | Lesson 16: Unit Test
Score
2. Start with the following statement:
Vertical angles are congruent.
a) Write the statement as a Conditional. (4 point)
b) What is the converse of this statement? (2 point)
c) What is the inverse of this statement? (2 point)
d) What is the contrapositive of this statement? (2 point)
e) If you know that a statement is true, what do you know about the truth of its
converse, inverse, and contrapositive? (6 point)
Your Score
© 2009 K12 Inc. All rights reserved.
Copying or distributing without K12’s written consent is prohibited.
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