Geometry Unit 2 Review

Which is the contrapositive of the conditional statement: If I do not eat breakfast, then I will be hungry.

• If I am hungry, then I did not eat breakfast.

• If I do eat breakfast, then I will not be hungry.

• If I am not hungry, then I did eat breakfast.

• I did not eat breakfast if and only if I am hungry.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Which is the converse of the conditional statement: If r = 12, then r/4 = 3.

• If r/4 = 3, then r = 12.

• If r ≠ 12, then r/4 ≠ 3.

• If r/4 ≠ 3, then r ≠ 12.

• r = 12 if and only if r/4 = 3.

Which is the biconditional of the conditional statement: If r = 12, then r/4 = 3.

• If r/4 = 3, then r = 12.

• If r ≠ 12, then r/4 ≠ 3.

• If r/4 ≠ 3, then r ≠ 12.

• r = 12 if and only if r/4 = 3.

Which is the inverse of the conditional statement: If r = 12, then r/4 = 3.

• If r/4 = 3, then r = 12.

• If r ≠ 12, then r/4 ≠ 3.

• If r/4 ≠ 3, then r ≠ 12.

• r = 12 if and only if r/4 = 3.

Which is the contrapositive of the conditional statement: If r = 12, then r/4 = 3.

• If r/4 = 3, then r = 12.

• If r ≠ 12, then r/4 ≠ 3.

• If r/4 ≠ 3, then r ≠ 12.

• r = 12 if and only if r/4 = 3.

Which is the inverse of the conditional statement: It is fall break.

• It is fall break.

• If it is fall, then it is a break.

• It is not fall break.

• If it is a break, then it is fall.

Tags

CCSS.RL.11-12.9

CCSS.RL.6.3

CCSS.RL.7.3

CCSS.RL.8.3

CCSS.RL.9-10.3

Which is the inverse of the conditional statement: If a polygon has all congruent sides, then it is a regular polygon.

• If a polygon is a regular polygon, then it has all congruent sides.

• If a polygon does not have all congruent sides, then it is not a regular polygon.

• If a polygon is a regular polygon, then it has all congruent sides.

• A polygon has all congruent sides if and only if it is a regular polygon.

Which conditional statement has a false biconditional statement?

• If ray AB bisects segment CD at point A, then segment CA is congruent to segment AD.

• If a quadrilateral has four right angles, then it is a rectangle.

• If two lines do not intersect at a right angle, then they are not perpendicular.

• If two segments are perpendicular, then they intersect.

Tags

CCSS.HSG.CO.B.7

Use the law of detachment to form a conclusion, if possible: If you go to the movie, then you will get popcorn. You go to the movie. Therefore, ...

• you get popcorn

• no conclusion

• you had fun

• you did not get popcorn

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Use the Law of Detachment to make a conclusion, if possible: If it is summer, then there is no school. There is no school. Therefore,

• it is summer

• no conclusion

• you're having fun

• you're bored