Sept 25 & Sept 26 Warm Up

By the Law of Syllogism, what conclusion can be drawn?

If two adjacent angles form a linear pair, then the sum of the measures of the angles is 180°.

If the sum of the measures of two angles is 180°, then the angles are supplementary.

• If two adjacent angles form a linear pair, then the sum of the measures of the angles is 180°.

• If the sum of the measures of two angles is 180°, then the angles are supplementary.

• If two adjacent angles form a linear pair, then the angles are supplementary.

• If the sum of the measures of two angles is 180°, then two adjacent angles form a linear pair.

Find the endpoint of a line segment with an endpoint of (10,-3) and a midpoint of (2, 4).

• (-6, 11)

• (6, 0.5)

• (4, 0.5)

• (18,-10)

Tags

CCSS.HSG.GPE.B.6

Find the exact length of each segment and determine whether the two segments are congruent. AB; A(1, 1) and B(5, 3) CD; C(-3,-2) and D(−1, 2)

• Congruent, length = 4.4

• Not Congruent

• Congruent, length =4.5

Tags

CCSS.6.G.A.3

Find the midpoint of a line segment with the following endpoints (-5,8) and (4,-2).

• (13, -12)

• (-0.5, 3)

• (4.5, 5)

• (-14,18)

Tags

CCSS.HSG.GPE.B.6

Write the converse, inverse, and contrapositive for the following statement. "If you tell the truth, then you do not have to remember anything."

• Converse: If you do not have to remember anything, then you told the truth.

  Inverse: If you do not tell the truth, then you have to remember something.

  Contrapositive: If you have to remember something, then you did not tell the truth.

• Converse: If you tell the truth, then you have to remember something.

  Inverse: If you tell the truth, then you do not have to remember anything.

  Contrapositive: If you do not have to remember anything, then you tell the truth.

• Converse: If you do not tell the truth, then you have to remember something.

  Inverse: If you do not have to remember anything, then you told the truth.

  Contrapositive: If you have to remember something, then you did not tell the truth.

Tags

CCSS.RF.3.3B

CCSS.RF.3.3C

CCSS.RF.3.3D

CCSS.RF.4.3A

CCSS.RF.5.3A

Let p: two planes intersect and q: the intersection is a line. Write each of the following statements in symbolic notation: a. If two planes don't intersect, then the intersection is a line. b. If the intersection is not a line, then two planes do not intersect.

• a. ~p → q b. ~q → ~p

• a. p → ~q b. q → p

• a. ~p → ~q

  b. p → q

• a. p → ~q

  b. q → ~p

What is the contrapositive of the statement "If I study, then I pass the test"?

• If I pass the test, then I study.

• If I do not study, then I do not pass the test.

• If I do not pass the test, then I do not study.

• I pass the test if I study.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A