Show:
Patterns and Counterexamples
Properties
PROOFS
MISCELLANEOUS
100
1, 4, 9, 16, 25, ... Find the next three numbers in the pattern.
What is 36, 46, 58
100
If
What is Symmetric property of equality.
100
Given: Q is the midpoint of PR and PQ=ST Prove: QR=ST
What is Given Definition of Midpoint Given Transitive
100
This is the height of a triangle with base= 16 cm and area=136 square cm.
What is 17 cm
200
15, 12, 9, 6, ... Find the next three numbers in the pattern
What is 3, 0, -3
200
BC=BC
What is reflexive property of equality
200
Given: FH=GI, FH2x+4, GI=5x-2 Prove: x=2
What is Given Substitution Addition POE Subtraction POE Division POE Symmetric POE
200
This is the midpoint of (-12, 3) and (13, -7).
What is (.5, -2)
300
3, 9, 27, 81, ... Find the next three numbers
What is 243, 729, 2187
300
m<1=m<4, then m<1-30=m<4-30.
What is subtraction property of equality.
300
Given: AB=BC, DF=FG, AB=DF Prove: AC=DG
What is Given Substitution Segment Addition Substitution
300
This is the classification of the angle when the following points are plotted: A(1, 2) B(5,1) C(7, 3)
What is obtuse.
400
This is a counterexample to the following statement: If the sum of two numbers is negative, then the two numbers must both be negative.
What is (many answers apply)
400
If CD=4, then CD+12=4 + 12.
What is substitution
400
Given: M is the midpoint of EF Prove: EM=1/2EF
What is Definition of Midpoint Segment Addition Substitution Distributive Ppty Division POE
400
If a regular pentagon has side lengths of 2x+9 and 4x-1 inches, this is the value of x.
What is x=5 inches
500
This is the counterexample to the following statement: The sum of the measures of any two acute angles is the measure of an obtuse angle.
What is (many answers apply)
500
If m<2=90 and m<3=m<2+44, then m<3=90+44
What is substitution
500
Given: QS is an angle bisector of
What is Given Definition of Angle Bisector Definition of Congruence Angle Addition Substitution Distributive Ppty Division POE
500
The length of segment BC when B(-3,1) and C(5,9)
What is 2sqrt17