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Worksheets2-5a & 2-5b
Total questions: 15
Worksheet time: 26mins
Name
Class
Date
1.
Which property states that if 10a = 2b and 2b = c, then 10a = c?
a)
Substitution Property
b)
Reflexive Property
c)
Symmetric Property
d)
Transitive Property
2.
Which property says if 3x = 2y and 2y = z, then 3x = z?
a)
Substitution Property
b)
Reflexive Property
c)
Symmetric Property
d)
Transitive Property
3.
Identify the missing statement or reason
a)
Definition of Angle Bisector
b)
Alternate Interior Angles Theorem
c)
Reflexive Property
d)
Definition of Midpoint
4.
a)
m∠GHK=26, m∠KHJ=26
b)
m∠GHK=26, m∠KHJ=52
c)
m∠GHK=52, m∠KHJ=52
d)
m∠GHK=52, m∠KHJ=26
5.
a)
m∠GHK=90, m∠KHJ=45
b)
m∠GHK=45, m∠KHJ=45
c)
m∠GHK=45, m∠KHJ=90
d)
m∠GHK=90, m∠KHJ=90
6.
If Q is the midpoint of segment PR, how do you justify that segment PQ is congruent to segment QP; PQ = QP
a)
Midpoint Theorem
b)
Angle Bisector Theorem
c)
Definition of Midpoint
d)
Symmetric Property
7.
Fill in the blanks (Combining Theorems 2.7 and 2.8): If two angles are ________ ________ of congruent angles (or of the same angle), then the two angles are ______________.
a)
supplements; symmetrical
b)
complements; congruent
c)
Both B and D
d)
supplements; congruent
8.
Which of the following is the Transitive Property of Equality?
a)
If a = b then b = a
b)
If a = b and b = c then b = c
c)
a = c
d)
If a = b and c = d, then a + c = b + d
9.
How do you decide which definition, postulate, or theorem to use?
a)
Memorize the postulates and definitions
b)
Eat the paper with the question
c)
Don't answer
d)
Guess
10.
What does the midpoint theorem state?
a)
AB=(AC)/2
b)
AB+BC=AC
c)
x=7
d)
2x=7
11.
Which of the following is not a real theorem for perpendicular lines
a)
Perpendicular lines form congruent adjacent angles
b)
If two lines form congruent adjacent angles then they are perpendicular
c)
If two lines are perpendicular then all the points lie within exactly one plane
d)
If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complementary
12.
B is the midpoint of line segment AC
Which of these proves that 1/2 AC=AB?
a)
Midpoint Definition
b)
Perpendicular Definition
c)
Midpoint Theorem
d)
Angle Addition Postulate
13.
Angle 1 is congruent on angle 3. Angle 2 is complementary to angle 1. Angle 4 is complementary to angle 3. What proves angle 2 is congruent to angle 4?
a)
Angle Bisector Theorem
b)
If two angles are complements of congruent angles (or of the same angle), then the two angles are congruent
c)
Definition of an Angle Bisector
d)
Angle Addition Postulate
14.
Which of the following is biconditional to this statement "Congruent segments are segments that have equal lengths."
a)
Congruent segments are segments that have equal lengths
b)
Congruent segments are segments if they have equal lengths
c)
Segments are congruent if and only if their lengths are equal
d)
Segments are congruent if their lengths are equal
15.
What proves that 4 right angles are formed by perpendicular lines
a)
If 2 lines are perpendicular, then they form congruent adjacent angle.
b)
Defninition of Perpendicular Lines
c)
If the exterior sides of 2 adjacent acute angles are perpendicular, then the angles are complementary.
d)
If 2 lines form congruent adjacent angles, then the line are perpendicular.
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