Geometry 2-2 Guided Practice: Conditional Statements

10

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

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

Problem 1 Got It?

10

Problem 2 Got It?

10

Take Note: Define truth value.

10

Take Note: Describe how a counterexample can help you identify the truth value of a conditional.

10

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

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

Take Note: Define negation.

5

Take Note: Type the symbol used to represent negation.

Enter only one character.

10

Take Note: Categorize the items on the left based on which type of conditional they represent.

q \rightarrow p
p \rightarrow q
\sim p \rightarrow \sim q
If not q, then not p.
Exchange the hypothesis and conclusion of the original conditional.

Conditional
Converse
Inverse
Contrapositive

10

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

Problem 4 Got It? What is the inverse of the conditional statement?

If a vegetable is a carrot, then it contains beta carotene.

10

Problem 4 Got It? What is the contrapositive of the conditional statement?

If a vegetable is a carrot, then it contains beta carotene.

10

Geometry 2-2 Guided Practice: Conditional Statements

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 are not too close, then you cannot read this." Explain.

Problem 1 Got It?

Problem 2 Got It?

Take Note: Define truth value.

Take Note: Describe how a counterexample can help you identify the truth value of a conditional.

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 two angles form a linear pair, then they are supplementary.

Take Note: Define negation.

Take Note: Type the symbol used to represent negation.

Enter only one character.

Take Note: Categorize the items on the left based on which type of conditional they represent.

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 inverse 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.

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

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 are not too close, then you cannot read this." Explain.

Problem 1 Got It?

Problem 2 Got It?

Take Note: Define truth value.

Take Note: Describe how a counterexample can help you identify the truth value of a conditional.

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 two angles form a linear pair, then they are supplementary.

Take Note: Define negation.

Take Note: Type the symbol used to represent negation.

Enter only one character.

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 inverse?

Take Note: Categorize the items on the left based on which type of conditional they represent.

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 inverse 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.

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

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 inverse?

Geometry 2-2 Guided Practice: Conditional Statements

Geometry 2-2 Guided Practice: Conditional Statements

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 are not too close, then you cannot read this." Explain.

Problem 1 Got It?

Problem 2 Got It?

Take Note: Define truth value.

Take Note: Describe how a counterexample can help you identify the truth value of a conditional.

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 two angles form a linear pair, then they are supplementary.

Take Note: Define negation.

Take Note: Type the symbol used to represent negation.Enter only one character.

Take Note: Categorize the items on the left based on which type of conditional they represent.

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 inverse 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.

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

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 are not too close, then you cannot read this." Explain.

Problem 1 Got It?

Problem 2 Got It?

Take Note: Define truth value.

Take Note: Describe how a counterexample can help you identify the truth value of a conditional.

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 two angles form a linear pair, then they are supplementary.

Take Note: Define negation.

Take Note: Type the symbol used to represent negation.Enter only one character.

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 inverse?

Take Note: Categorize the items on the left based on which type of conditional they represent.

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 inverse 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.

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

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 inverse?

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 are not too close, then you cannot read this." Explain.

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 two angles form a linear pair, then they are supplementary.

Take Note: Type the symbol used to represent negation.

Enter only one character.

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 inverse 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.

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 are not too close, then you cannot read this." Explain.

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 two angles form a linear pair, then they are supplementary.

Take Note: Type the symbol used to represent negation.

Enter only one character.

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 inverse 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.