Proofs
Vocabulary
Angle Pair Relationships
Transformations
Triangle Congruence
100
What goes in "REASON #1"?
Given
100
Points A, B, and C are collinear.
AB + BC = AC
What property/postulate justifies this equation?
Segment Addition Postulate
100
What is the angle pair relationship and
Vertical Angles &
100
Describe the transformation.
Reflection across the y-axis.
100
200
<AMB ≅ <DMC
200
Name the property that illustrates
AB = AB
Reflexive Property
200
<5 and <3 are _________ angles
consecutive interior
200
Describe the transformation.
left 7 units and 3 units down
(x - 7, y - 3)
200
300
Which property justifies the step below?
3x - 9 = 21
3x = 30
Addition property of equality
300
Name the property that the statement illustrates:
if <A = <B and <B = <C, then <A=<C
Transitive Property
300
300
Write the rule for the transformation below.
(-x, y)
300
400
What property justifies the step below?
12x = 144
x = 12
Division Property of Equality
400
If m<A + m<B = 90° , <A and <B are _______ angles.
complementary
400
<1 and <8 are _________ angles
alternate exterior
400
Describe the transformation.
Rotation counterclockwise 90 degrees.
400
How are the 2 triangles congruent?
Since <AEB and <CED are vertical angles, both angles are congruent to each other.
Hence the 2 triangles are congruent by AAS.
500
Substitution Property or
Transitive Property
500
How do you know that <ABD and <DBC = 180° ?
Linear Pair Postulate
or Definition of Supplementary Angles.
500
m<4 + m<6 =
180 degrees
500
Write the rule for the transformation below.
(y, -x)
500
2) Reflexive Property
3) ASA Congruence Theorem