Name: 
 

Geometry Chapter 2 Practice Test



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

What is the contrapositive of the statement below?

If you are in Reykjavik, then you are in Iceland.

a.
If you are in Reykjavik, then you are in Iceland.
b.
If you are in Iceland, then you are in Reykjavik.
c.
If you are not in Reykjavik, then you not are in Iceland.
d.
If you are not in Iceland, then you are not in Reykjavik.
 

 2. 

What is the converse of the statement below?

If three points lie on the same line, then they are collinear.

a.
If three points are not collinear, then they do not lie on the same line.
b.
If three points are collinear, then they lie on the same line.
c.
If three points lie on the same line, then they are collinear.
d.
If three points do not lie on the same line, then they are not collinear.
 

 3. 

What is the inverse of the statement below?

If a polygon has three sides, then it is a triangle.

a.
If a polygon is a triangle, then it has three sides.
b.
If a polygon has three sides, then it is a triangle.
c.
If a polygon is not a triangle, then it does not have three sides.
d.
If a polygon does not have three sides, then it is not a triangle.
 

 4. 

What is the next number?
2, 0, 4, -2, 6, ...

a.
-4
c.
0
b.
-2
d.
2
 

 5. 

Name the postulate described.
mc005-1.jpg
Through points A and B, there is exactly one line l.

a.
Two Point Postulate
c.
Plane-Point Postulate
b.
Line-Point Postulate
d.
Plane-Line Postulate
 

 6. 

Write a justification for each step, given that mc006-1.jpg.

mc006-2.jpg

mc006-3.jpgGiven information
mc006-4.jpg[1]
mc006-5.jpgSegment Addition Postulate
mc006-6.jpg[2]
mc006-7.jpgSubtraction Property of Equality
a.
[1] Angle Addition Postulate
[2] Subtraction Property of Equality
b.
[1] Substitution Property of Equality
[2] Transitive Property of Equality
c.
[1] Segment Addition Postulate
[2] Definition of congruent segments
d.
[1] Segment Addition Postulate
[2] Substitution Property of Equality
 

 7. 

mc007-1.jpg
mc007-2.jpg
a.
80°
b.
50°
c.
70°
d.
60°
 

 8. 

Fill in the blanks to complete the two-column proof.
Given: mc008-1.jpg and mc008-2.jpg are supplementary. mmc008-3.jpg = 135mc008-4.jpg

mc008-5.jpg

Prove
: mmc008-6.jpg = 45mc008-7.jpg

Proof:
Statements
Reasons
1. mc008-8.jpg and mc008-9.jpg are supplementary.1. Given
2. [1]2. Given
3. mmc008-10.jpg + mmc008-11.jpg = 180mc008-12.jpg3. [2]
4. 135mc008-13.jpg + mmc008-14.jpg = 180mc008-15.jpg4. Substitution Property
5. mmc008-16.jpg = 45mc008-17.jpg5. [3]
a.
[1] mmc008-18.jpg = 135mc008-19.jpg
[2] Definition of supplementary angles
[3] Subtraction Property of Equality
b.
[1] mmc008-20.jpg = 135mc008-21.jpg
[2] Definition of supplementary angles
[3] Substitution Property
c.
[1] mmc008-22.jpg = 135mc008-23.jpg
[2] Definition of supplementary angles
[3] Subtraction Property of Equality
d.
[1] mmc008-24.jpg = 135mc008-25.jpg
[2] Definition of complementary angles
[3] Subtraction Property of Equality
 

 9. 

Give the reason for the last statement in the proof.

mc009-1.jpg
a.
Congruent Supplements Theorem
b.
Congruent Complements Theorem
c.
Vertical Angles Congruence Theorem
d.
Linear Pair Postulate
 

 10. 

Give the reason for the last statement in the proof.

mc010-1.jpg
a.
Congruent Complements Theorem
b.
Congruent Supplements Theorem
c.
Vertical Angles Congruence Theorem
d.
Linear Pair Postulate
 

Short Answer
 

 11. 

If possible, use the Law of Syllogism to write a new conditional statement that follows
from the pair of true statements.
If x2 > 36, then x2 > 30.
If x > 6, then x2 > 36.
 

 12. 

Name the property of equality that the statement illustrates.

If y = z, then z = y.
 

 13. 

Find the measures of the numbered angles.
sa013-1.jpg
 

 14. 

sa014-1.jpg measures 73°. Find the measure of sa014-2.jpg (The figure may not be drawn to scale.)

sa014-3.jpg
 

 15. 

Find the value of x and of y.
sa015-1.jpg
 

Essay
 

 16. 

Write a proof. Given: line s is perpendicular to line t
Prove: es016-1.jpg
es016-2.jpg
 

 17. 

Write a proof. Given: es017-1.jpg bisects es017-2.jpg
Prove: es017-3.jpg
es017-4.jpg
 



 
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