Geometry 2-2 Guided Practice: Conditional Statements
By Matt Richardson
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Last updated about 3 years ago
17 Questions
10 points
10
Question 1
1.
Solve It! Suppose the statement is true, "If you are too close, then you can read this." Is this statement also true? "If you cannot read this, then you are not too close." Explain.
Solve It! Suppose the statement is true, "If you are too close, then you can read this."
Is this statement also true? "If you cannot read this, then you are not too close." Explain.
1 point
1
Question 2
2.
Solve It! Suppose the statement is true, "If you are too close, then you can read this." Is this statement also true? "If you are not too close, then you cannot read this." Explain.
Solve It! Suppose the statement is true, "If you are too close, then you can read this."
Is this statement also true? "If you are not too close, then you cannot read this." Explain.
10 points
10
Question 3
3.
Problem 1 Got It?
Problem 1 Got It?
10 points
10
Question 4
4.
Problem 2 Got It?
Problem 2 Got It?
10 points
10
Question 5
5.
Take Note: Define truth value.
Take Note: Define truth value.
10 points
10
Question 6
6.
Take Note: Describe how a counterexample can help you identify the truth value of a conditional.
Take Note: Describe how a counterexample can help you identify the truth value of a conditional.
10 points
10
Question 7
7.
Problem 3 Got It? Is the conditional true or false? If it is false, provide a counterexample on the canvas.
If a month has 28 days, then it is February.
Problem 3 Got It? Is the conditional true or false? If it is false, provide a counterexample on the canvas.
If a month has 28 days, then it is February.
10 points
10
Question 8
8.
Problem 3 Got It? Is the conditional true or false? If it is false, provide a counterexample on the canvas.
If two angles form a linear pair, then they are supplementary.
Problem 3 Got It? Is the conditional true or false? If it is false, provide a counterexample on the canvas.
If two angles form a linear pair, then they are supplementary.
10 points
10
Question 9
9.
Take Note: Define negation.
Take Note: Define negation.
5 points
5
Question 10
10.
Take Note: Type the symbol used to represent negation.
Enter only one character.
Take Note: Type the symbol used to represent negation.
Enter only one character.
10 points
10
Question 11
11.
Take Note: Which statement always has an equivalent truth value with the conditional?
Take Note: Which statement always has an equivalent truth value with the conditional?
10 points
10
Question 12
12.
Take Note: Which statement always has an equivalent truth value with the inverse?
Take Note: Which statement always has an equivalent truth value with the inverse?
10 points
10
Question 13
13.
Take Note: Categorize the items on the left based on which type of conditional they represent.
- If not q, then not p.
- q \rightarrow p
- Exchange the hypothesis and conclusion of the original conditional.
- p \rightarrow q
- \sim p \rightarrow \sim q
- Conditional
- Converse
- Inverse
- Contrapositive
10 points
10
Question 14
14.
Problem 4 Got It? What is the converse of the conditional statement?
If a vegetable is a carrot, then it contains beta carotene.
What is the truth value of the converse? If the converse is false, give a counterexample.
Problem 4 Got It? What is the converse of the conditional statement?
If a vegetable is a carrot, then it contains beta carotene.
What is the truth value of the converse? If the converse is false, give a counterexample.
10 points
10
Question 15
15.
Problem 4 Got It? What is the inverse of the conditional statement?
If a vegetable is a carrot, then it contains beta carotene.
Problem 4 Got It? What is the inverse of the conditional statement?
If a vegetable is a carrot, then it contains beta carotene.
10 points
10
Question 16
16.
Problem 4 Got It? What is the contrapositive of the conditional statement?
If a vegetable is a carrot, then it contains beta carotene.
Problem 4 Got It? What is the contrapositive of the conditional statement?
If a vegetable is a carrot, then it contains beta carotene.
10 points
10
Question 17
17.
Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?