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Chapter 2: Q3 (page 35)

State the hypothesis and the conclusion of each conditional.

I鈥檒l try if you will.

Short Answer

Expert verified

The hypothesis is you will try and the conclusion is I鈥檒l try.

Step by step solution

01

Step 1. Hypothesis and the conclusion.

The hypothesis and the conclusion of a conditional statement are where the hypothesis is the phrase immediately following by the word if and the conclusion is the phrase immediately following by the word then.

02

Step 2. Symbolic representation.

If p represents the hypothesis and q represents the conclusion, then the basic form of an if-then statement is 鈥淚f p, then q鈥�. For example, in the statement 鈥淚f today is Friday, then tomorrow is Saturday鈥�, 鈥渢oday is Friday鈥� is the Hypothesis, and 鈥渢omorrow is Saturday鈥� is the Conclusion.

03

Step 3. Rewrite the statement.

The given statement 鈥淚鈥檒l try if you will鈥� can be rewritten as 鈥淚f you will try, then I will try鈥�.

04

Step 4. Identification of the Hypothesis and the conclusion.

In the statement 鈥淚f you will try, then I will try鈥�, since, 鈥測ou will try鈥� is followed by 鈥淚f鈥� and 鈥淚 will try鈥� is followed by 鈥渢hen鈥� thus, the hypothesis is you will try and the conclusion is I will try.

Hence, the hypothesis is you will try and the conclusion is I will try.

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Most popular questions from this chapter

Copy and complete the proof of Theorem 2-5: If two lines form congruent adjacent angles then the lines are perpendicular.

Given:鈭�1鈮�鈭�2

Prove: l鈯�n

Proof:

Statements

Reasons

1. 鈭�1鈮�鈭�2, orm鈭�1=m鈭�2

1. _______

2. m鈭�1+m鈭�2=180.

2._______

3. m鈭�1+m鈭�2=180or 2m鈭�2=180.

3._______

4. m鈭�2=90

4._______

5._______

5. Definition of鈯�lines

Justify each statement with a property from algebra or property of congruence.

If x+5=16then x=11.

In the diagram, DE炉鈯�n. Sate the theorem or name the definition that justifies the statement about the diagram.

鈭�9 and 鈭�10 are complementary.

In the diagram, OT鈫�bisects 鈭�SOU, m鈭�UOV=35, and m鈭�YOW=120. Find the measure of each angle.

m鈭�ZOT

Provide a counterexample to show that each statement is false.

Statement: If point G is on AB鈫�,then G is onBA鈫�.
See all solutions

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