Unit 02 Practice

The midpoint of segment AC is located at (0, 1), and one endpoint of this segment has coordinates of (-3, 6). What are the other coordinates of the other endpoint of segment AC?

• (3, -4)

• (-1.5, 3.5)

• (2, -6)

• (0, -3)

Tags

CCSS.HSG.GPE.B.6

Point D is located halfway between points A and B. What is the shortest distance from C to D, rounded to the nearest tenth?

• 14.4

• 5.4

• 12.8

• 16.9

Tags

CCSS.6.NS.C.8

Billy made the following conjecture: If two parallel lines are cut by a transversal, then the alternate exterior angles are supplementary.

Based on the information in the figures given, which of the following is a reasonable conclusion?

• Alternate exterior angles are not supplementary in figure 1. The conjecture is false because this provides a counterexample.

• Alternate exterior angles are supplementary in figure 2. This is proof that makes this conjecture a theorem.

• Alternate exterior angles are not supplementary in figure 1, but are supplementary in figure 2. Since these don't match, we cannot say whether the conjecture is true or false.

Tags

CCSS.8.G.A.5

A true conditional statement is given below:

"If a closed-sided figure has three sides, then it is a triangle."

Identify the inverse statement of the conditional statement and determine if the inverse is true or false.

• "If a closed-sided figure does not have three sides, then it is not a triangle."

  True

• "If a closed-sided figure is not a triangle, then it does not have three sides."

  True

• "If a closed-sided figure is a triangle, then it has three sides."

  True

• "If a closed-sided figure does not have three sides, then it is not a triangle."

  False

Taylor made the following conjecture: "For all real numbers x, 3x is greater than or equal to x."

Which of the following values of x can be used as a counterexample to disprove Taylor's conjecture?

• x = 2

• x = 1

• x = 1.5

• x = -1

The shortest distance between two points along the surface of the earth is....

• a straight line

• an arc

• a circle

• a ray

Line a is parallel to line b, and line a and line b are cut by three transversals. Based on the angles formed by the transversals, which two conjectures about the relationships of the angles are true?

• Alternate exterior angles are congruent.

• Corresponding angles are congruent.

• Same side interior angles are congruent.

• Alternate interior angles are supplementary.

Tags

CCSS.8.G.A.5

Which conjecture explains the relationship between the angles in the construction below?

• Angle CAF is congruent to angle BAF.

• Angle CAF is congruent to angle CAB.

• Angle CAF is half of angle BAF.

• Angle CAF is two times angle CAB.

Tags

CCSS.HSG.CO.C.9

The measure of ∠P is 156° and the measure of ∠M is one third of the measure of ∠P. What is the measure of ∠N?

• 52°

• 128°

• 24°

• 136°

Tags

CCSS.7.G.B.5

Find the length of the hypotenuse.

• 35

• 19

• 40

• 38

Tags

CCSS.8.G.B.7