1.5 HW

Match the vocabulary word to its definition

• Counterexample

• An if, then statement

• Hypothesis

• The part of the conditional statement that comes AFTER then

• Conclusion

• The part of the conditional statement that comes AFTER if

• Conditional Statement

• A conclusion that makes the hypothesis FALSE

Rewrite the following statement into a conditional statement: My hair will be shorter if I cut it.

If​ (a)   , then​ (b)   .

• I cut my hair
• my hair will be shorter

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Rewrite the following statement into a conditional statement: Movie tickets are half priced if it is Tuesday

If​ (a)   , then​ (b)   .

• it is Tuesday
• movie tickets are half priced

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Given the conditional statement: “If two integers are even, then their sum is even.” Joanna says that 4 + 7 = 11 is a counterexample to the statement above. Is Joanna correct? Explain.

• Yes, Joanna uses two evens and added them to make an odd.

• Yes, Joanna uses two evens and added them to make an even.

• No, Joanna does not use two evens.

• No, Joanna answer is even.

Which of the following is a counterexample of this statement?

“If an angle is acute, then it measures 80°.”

Recall: Acute angles are angles with measures less than 90 degrees.

• 90

• 100

• 80

• 70

Which of the following is a counterexample of this statement?

“If a number is divisible by 3, then the number is odd.”

• 19

• 12

• 8

• 21

From the choices, select the hypothesis of the following statement:

“If the baby is wearing blue booties, then it is a baby boy.”

• If the baby is wearing blue booties

• The baby is wearing blue booties

• Then it is a baby boy

• It is a baby boy

Select the conclusion of the following statement:

“If the light is red, then you must stop.”

• The light is red

• If the light is red

• You must stop

• Then you must stop

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Which statement is a counterexample for the following statement?

“If Carl studies at least two hours for the test, then Carl will pass.”

• Carl studied only 30 minutes and Carl passed the test.

• Carl studied 3 hours for the test and Carl did not pass.

• Carl studied one hour for the test and Carl did not pass.

• Carl studied for 4 hours and passed the test.

Consider the following statement: “An angle that is 𝟏𝟎𝟎° is an obtuse angle”

Sort the statements

Groups:

(a) Conditional

,

(b) Converse

,

(c) Inverse

,

(d) Contrapositive

• If an angle is not 100 degrees, then it is not an obtuse angle.

• If an angle is 100 degrees, then it is an obtuse angle

• If an angle is obtuse, then it is 100 degrees

• If an angle is not obtuse, then it is not 100 degrees.

Tags

CCSS.7.G.B.5