Reasoning, Conjectures, & Counterexamples
Compound Statements
Algebraic Proofs
Segment Proofs
Angle Proofs
100
All cars use gas. True or False(Counterexample)
False; Hybrids
100
What symbol is used for a conjuction?
^^
100
a=a
Reflexive
100
Justify this statement:
If PQ+RS=PS and RS=XY, then PQ+XY=PS
Substitution
100
m/_ABD+m/_DBC=m/_ABC
Angle Addition Postulate
200
Finish the series: 2, 5, 11, 47, __, __, __
47, 95, 191
200
What does this symbol mean?
~
Negation
200
I use this property when I add the same thing to both sides of an equation.
Addition Property
200
If
AB=CD
, then
AB~=CD
Definition of Congruence
200
Complementary⟷Sum is 90°
Definition of Complementary Angles
300
True or False: Multiples of 3 are always multiples of 6.
False.
300
p: Christmas is in July.
q: Redstreaks are red.
Write the statement for
~p ^^ q
Christmas is not in July and redstreaks are red.
300
Justify this statement:
If
-3(2x+7)=-29-4x
then
-6x-21=-29-4x
Distribution
300
A, B, and C are collinear points:
AB+BC=AC
Segment Addition Postulate
300
If two angles are supplementary to the same angle, then they are congruent.
Congruent Supplements Theorem
400
"Multiples of 3 are always multiples of 6" is false. what is a counterexample?
15, 9, 27
400
How would we read this?
~r
not r
400
A=B, B=C, A=C
Trasitive
400
If LP=PN, and L, N, and P are collinear, then P is the midpoint of LN
Definition Of A Midpoint
400
If ∠S and ∠T for a right angle, then ∠S and ∠T are complementary.
Complement Theorem
500
Why is the statement "Supplementary angles are never congruent" false? Draw the counterexample.
500
Write the symbolic statement for "Memorial Day is in July or parallel lines intersect."
~p v ~q
500
If it looks like a duck, quacks like a duck, and swims like a duck, what is it?
Chicken
500
If RS=TU, then RS+XY=TU+XY
Addition Property
500
What is the definition of an angle bisector?
An angle bisector divides an angle into two equal parts.