statements
What is the hypothesis of this statement:
If two angles add to 180, then they are supplementary.
two angles add to 180
Given: 3x + 7 = 22
Prove: x = 5
3x + 7 = 22 Given
3x = 15 Subtraction prop of equality
x = 5 Division prop of equality
What is statement 3 in this proof?
m∠JKM = m∠MKL
what is statement 3 in proof?
AC = CB
Two angles whose different measure add up to 180 are called...
supplementary
what is the conclusion of this statement:
If two angles add to 180, then they are supplementary.
they are supplementary
Given: 2(x − 4) + 6 = 20
Prove: x = 9
2(x − 4) + 6 = 20 Given
2x − 8 + 6 = 20 Distributive property
2x − 2 = 20 Simplify
2x = 22 Addition prop of equality
x = 11 Division prop of equality
What is reason 4 in this proof?
Substitution
what is reason 4 in proof?
Definition of Midpoint
Two angles whose different measure add up to 90 are called...
complementary
what is the converse of this statement:
If two angles add to 180, then they are supplementary.
If two angles are supplementary, then they add up to 180.
Given: 5x − 3 = 2x + 12
Prove: x = 5
5x − 3 = 2x + 12 Given
3x − 3 = 12 Subtraction Property of Equality
3x = 15 Addition Property of Equality
x = 5 Division Property of Equality
What is statement 5 in this proof?
m∠JKL = m∠JKM + m∠MKL
what is statement 5 in proof?
AC = BD
Draw a pair of vertical angles
(look at the white board)
what is the inverse of this statement:
If two angles add to 180, then they are supplementary.
If two angles do not add to 180, then they are not supplementary.
What is reason 6 in this proof?
Substitution
what is reason 6 in proof?
Definition of Congruence
what is segment addition postulate?
AB + BC = AC
what is the contrapositive of this statement:
If two angles add to 180, then they are supplementary.
If two angles are not supplementary, then they do not add to 180.
Given: M is the midpoint of AB. AM = 3x + 4. MB = 5x − 8.
Prove: x = 6
(look at whiteboards)
What is reason 7 in this proof?
Simplification
find the midpoint of (2, -2) and (4, -4)
(3, -3)