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It is the highest form of self-respect to admit our errors and mistakes and make amends for them. To make a mistake is only an error in judgment, but to adhere to it when it is discovered shows infirmity of character. ” --Dale E. Turner. Geo CP Day 21 > Properties from Algebra
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It is the highest form of self-respect to admit our errors and mistakes and make amends for them. To make a mistake is only an error in judgment, but to adhere to it when it is discovered shows infirmity of character.” --Dale E. Turner
Geo CP Day 21 >Properties from Algebra >SWBAT state and id the 8 properties of equality.. > SWBAT state and id the 3 properties of congruence. > SWBAT state and id the distributive property Pg. 41: 1,2,5, 7, 9,12,13
Thursday 5, October Day 21 D I M P L If I is the midpoint of DL, P = 5, IM = PL, DI = 8 and MP = 2 ? Then a) what is IP and b) what are the coordinates of all the letters?
Properties of Equality a = a If a = b, then b = a If a = b and b = c then a = c
3x + 5 = 11 Given or 3x + 5 = 6 + 5 5 = 5 Reflexive Prop = Solve 3x + 5 = 11 3x = 6 Subtraction Prop = 3 = 3 Reflexive Prop =
RS = PS Given ST = SQ RS+ST = PS + SQ < Addition Given: RS and PQ intersecting at S so that RS = PS and ST = SQ. Prove: RT = PQ RS + ST = RT Seg. Addition RT = PS + SQ Substitution
Hypothesis: x + 5 = 6 Conclusion: x = 1 The converse: If x = 1 then x + 5 = 6 If x + 5 = 6 then x = 1 The original: True The converse: True
Hypothesis: A is between B and C Conclusion: A,B and C are collinear. The converse: If A,B and C are collinear then A is between B and C. A is between B and C implies A,B and C are collinear. The original: True The converse: False
Hypothesis: Whamo is a bear. Conclusion: he has spine. Whamo being a whale ensures he has a spine. If Whamo is a whale then he has a spine. Whamo is a bear only if he has a spine. The original: True The converse: False
If x = 2 then 3x + 4 = 10 and If 3x + 4 = 10 then x = 2 Biconditional: x = 2 if and only if 3x + 4 = 10 Write these two statements as a biconditional. The original: True The converse: True, so we can have a B.C.
If I x I = 5 then x = 5. If it is snowing then I am wearing a coat. If x2 = 16 then x = 4. Provide a counter-example for each statement: If x + y = 2 and x and y > 0 then y = 1
Naming collinear and coplanar points. M l C B A N E D