Section 1.4
Identify the pattern and the next three terms: 4,5,7,10,____,____,____
What is: Adding 1 value to each number you add to a term;14,19,25?
Identify the hypothesis and conclusion: If I eat cookies, then I am happy.
What is: Hypo: If I eat cookies. Conc: then I am happy?
Draw a conclusion (if possible): If angle J is obtuse, then its measure is greater than 90 but less than 180. Angle J measures 104
What is: Angle J is obtuse?
If angles are supplementary they add too ____
What is: 180?
What would the reason be in this line of a two column proof:
1) 3(x+5) = 10 1) Given
2) 3x + 15 = 10 2) ?
What is: Distributive Property?
The conjecture you can make about: the square of an odd.
What is: The square of an odd number is always odd?
Write the conditional statement: All regular pentagons have 5 congruent sides.
What is: If it's a regular pentagon, then it has 5 congruent sides.
The name of the character in green on Mr. Giese's poster on the door to Mrs. Meyer's room
What is: Link?
Find m∠DBE: m∠ABC = 50, m∠DBE = ? Both angles are vertical.
What is: 50?
Fill in the missing reasons for the proof: Given: 3x+2=8, Prove: x=2
1) 3x + 2 = 8 1)
2) 3x = 6 2)
3) x = 2 3)
What are: 1) Given, 2) Subtract, 3) Divide?
Identify if the conjecture is true or false. If false provide a counterexample: For all triangles, a² +b² = c²
What is: False -> counters could include any other triangles that are not right?
Write the converse and identify its truth value: If Darth Vader is Luke's father, then Luke wants to rule the galaxy with him.
What is: If Luke wants to rule the galaxy with him, then Darth Vader is Luke's father -> FALSE?
Draw a conclusion (if possible): If I have a lightsaber, then I am Jedi. If I am a Jedi, then I can use the Force.
What is: If I have a lightsaber, then I can use the Force?
Find x: m∠ABC = x+35, m∠CBD = 10x. Both angles are complimentary.
What is: x=11?
Fill in the missing statements for the following proof: Given: 2(3x+2) = 5x + 10. Prove: x=6
1) 2(3x+2)=5x+10 1) Given
2) 6x+4=5x+10 2) Distributive Property
3) x+4=10 3) Subtract
4) x=6 4) Subtract
What are: 1) 2(3x+2)=5x+10, 2) 6x+4=5x+10 , 3) x+4=10 4) x=6?
The conjecture you can make about the twentieth term in the pattern: C,D,C,E,C,D,C,E,...
What is: E?
Determine if the conditional and its converse is true. If so, write the biconditional:
Conditional: If a number is even, then it is divisible by 2
Converse: If a number is divisible by 2, then it is even
What is: A number is divisible by 2 iff it is even
Draw a conclusion (if possible): If someone climbs the tallest mountain in the world they climbed at least 678ft. The tallest mountain in the world is Mt. Lilac. Mishka is has climbed 700ft.
What is: Mishka climbed Mt. Lilac?
Find each angles measure: m∠TOY = 3x - 123 and m∠BOT = x - 11. Both angles are vertical.
What is: m∠TOY=45=m∠BOT
Fill in the missing reasons for the following proof: Given: B is the midpoint of AC and AB = CD. Prove: BC = CD
1) B is the midpoint of AC 1)
2) AB = BC 2)
3) AB = CD 3)
4) BC = CD 4)
What are: 1) Given, 2) Definition of Midpoint, 3) Given, 4) Transitive?
Tanya's Designer Service designs websites and recently began a weekly advertising campaign. She noticed an increase over five weeks consecutively. At week 1, she had 5 customers. At week 2, she had 7 customers. At week 3, she had 9 customers. At week 4, she had 11 customers. At week 5, she had 13 customers. How many will Tanya have by the end of week 8?
What is: 19?
Write the inverse and contrapositive: If a triangle is obtuse, then it has at least one obtuse angle
What is: If a triangle is not obtuse, then it does not have at least one obtuse angle; If a triangle does not have at least one obtuse angle, then it is not obtuse.
Reach a conclusion (if possible): The Mississippi is in the US. If a river is less than 2300 miles long, it is not one of the world's longest rivers. If a river is in Europe, then it is less than 2300 miles long.
What is: No Conclusion (The US is not Europe!)?
Find x,y and z: m∠HJK = x, m∠HJM = 89, m∠LJM = y, m∠KJM = z. ∠HJK is vertical to ∠LJM. (Hint: Vertical angles are formed by two lines intersecting)
What is: y =89, x,z = 91?
Determine the missing reasons for the following proof: Given: ∠1 and ∠2 are vertical angles. Prove: ∠1≅ ∠2
1) ∠1,∠2 are vertical angles 1)
2) m∠1+m∠3 = 180; m∠2+m∠3=180 2)
3) m∠1+m∠3=m∠2+m∠3 3)
4) m∠1 = m∠2 4)
5) ∠1 ≅ ∠2 5)
What are: 1) Given, 2) Linear Pair (Def of Supp), 3) Transitive (Substitution), 4) Subtract, 5) Definition of Congruence