Review for Test Chapter 2

Use inductive reasoning to describe the pattern of the sequence. Then fins the next two terms.

2, 4, 8, 16, 32, ...

• Add 16; 48, 64.

• Multiply by 2, 64, 128.

• Add 2; 34, 36.

• Multiply by 2; 64, 118.

Tags

CCSS.3.OA.D.9

Find a counterexample.

If two lines are parallel, then they do not intersect.

• If two lines do not intersect, they could be skew.

• If two lines are parallel, they may intersect twice.

• It two lines are parallel, they intersect once.

• The statement is true. There is no counterexample.

Tags

CCSS.HSG.CO.A.1

Identify the hypothesis and conclusion of the conditional.

If a figure is a rectangle, then it has four sides.

• Hypothesis: A figure is a rectangle

  Conclusion: It has four sides.

• Hypothesis: It does not have four sides

  Conclusion: A figure is not a rectangle

• Hypothesis: It has four sides

  Conclusion: A figure is a rectangle

• Hypothesis: A figure is not a rectangle

  Conclusion: It does not have four sides. 

Write the sentence as a conditional.

Two statements that have the same truth value are equivalent statements.

• If two statements do not have the same truth value, then they are not equivalent.

• If two statements have the same truth value, then they are equivalent statements.

• If two statements have the same truth value, then they are not equivalent statements.

• If two statements are equivalent statements, then they have the same truth value.

Determine if the conditional is true or false. It if is false, find a counterexample.

If you live in a country that boarders the United States, then you line in Canada.

• The conditional is true.

• The conditional is false. You could also live in Mexico and still live in a country that boarders the United States.

• The conditional is false. Canada Boarders other countries in addition to the United States.

• The conditional is false. There are oceans that also border the United States.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Is the statement below a good definition?

The grapefruit is a citrus fruit.

• No

• Yes

Tags

CCSS.RI.11-12.4

CCSS.RI.8.4

CCSS.RI.9-10.4

CCSS.RL.11-12.4

CCSS.RL.9-10.4

Fill in the reasons that justify each step.

Tags

CCSS.7.G.B.5

Tags

CCSS.7.G.B.5

Write the two statements that form the biconditional. Select the two that apply.

An angle is a right angle if and only if it measures 90.

• An angle measures 90 if and only if it is a right angle.

• An angle measures 90.

• If an angle measures 90. then it is a right angle.

• An angle is a right angle. 

• If an angle is a right angle, the ir measures 90.

Apply the law of detachment to the given conditional to make a conclusion. If it is not possible to male a conclusion, tell why.

If the robber is fast, then the police cannot catch him. The robber is fast.

• The conclusion is the robber is fast.

• It is not possible to make a conclusion using the law of detachment because the second statement does not match the hypothesis of the given conditional.

• It is not possible to make a conclusion using the law of detachment because the second statement does not match the conclusion of the given conditional.

• The conclusion is the police cannot catch him.

• The conclusion is the police can catch him.