Download Geometry Unit 2 Worksheet 2

2.01B Worksheet
Geometry
Decide whether the statement is true or false. If false, provide a counterexample.
1.
If it is a weekend day, then it is Saturday.
2.
If an angle is acute, then its measure is less than 90°.
3.
If A  B , then mA  mB
4.
If a = b, then a + c = b + c
5.
If a figure is a rectangle, then it has 4 sides.
6.
If n > 5, then n > 7.
Write the converse for the statements below and determine if the converse is true or
false. If false, provide a counterexample.
7.
If I have 2 dimes and 1 nickel, then I have 25 cents.
8.
If m1 = 90°, then 1 is a right angle.
9.
If x = – 6, then x2 = 36.
10.
If you can divide a number by 4, then you can divide the number by 2.
Select the correct multiple choice response:
11.
If two angles share a common vertex, then they are adjacent
Which of the following serves as a counterexample to the assertion above?
a.
b.
1
c.
Geometry Unit 2 WS 2
2
1
2
d.
1
2
1
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2
12.
If two lines are coplanar, then they intersect.
Which of the following serves as a counterexample to the assertion above?
a.
b.
c.
m
13.
p
A pair of supplementary angles are adjacent to each other.
Which of the following serves as a counterexample to the assertion above?
a.
b.
40°
14.
15.
140°
c.
90°
90°
60°
120°
The definition of congruent segments is:
If two line segments have the same length then they are congruent segments.
a.
Write the converse of this definition
b.
Write the definition as a biconditional
The definition of perpendicular lines is:
If two lines intersect to form a right angle, then they are perpendicular lines.
a.
Write the converse of this definition
b.
Write the definition as a biconditional
Geometry Unit 2 WS 2
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