Directed Line Segments

​Topic Test 1 & 2 Review Part 3 Lessons

Multiple Choice

Find the point that is 2/5 of the distance from D to C.

$$\left(x,y\right)=\left(\frac{mx_1+nx_2}{m+n},\frac{my_1+ny_2}{m+n}\right)$$  ****THIS QUESTION IS NOT ON THE PACKET. DRAW THE GRAPH AND SOLVE THE PROBLEM ON THE BACK OF THE PACKET*****

• (-1, 2)

• (0,0)

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Multiple Choice

If point P is 9/11  of the distance from M to N, what ratio does the point P partition the directed line segment from M to N into?

****THIS QUESTION IS NOT ON THE PACKET. DRAW THE GRAPH AND SOLVE THE PROBLEM ON THE BACK OF THE PACKET*****

• 9:2

• 9:9

• 9:11

• 9:13

Multiple Choice

Which type of triangle has vertices at the points 𝑅(2,1), 𝑆 (2,5), and 𝑇(4,1)? #11

• A. right

• B. acute

• C. isosceles

• D. equilateral

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Multiple Choice

Determine the Midpoint and the Length of the graphed Line Segment: #34

• $$M\left(\frac{3}{2},-\frac{5}{2}\right)$$ and $$d=\sqrt{74}$$

• $$M\left(\frac{7}{2},-\frac{5}{2}\right)$$ and $$d=\sqrt{24}$$

• $$M\left(-2,0\right)$$ and $$d=\sqrt{74}$$

Multiple Choice

Q is the midpoint of PR. PQ = 6x – 7 and QR = 5x + 1. Find the length of PR. #30

• 8
• 16
• 41
• 82

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Multiple Choice

When copying line segment AB using a straight edge and a compass, the compass should be used to: #1

• Draw an arc above point A

• Measure the length of segment AB

• Draw an arc between point A and point B

• Measure half the length of line segment AB

Reorder

Reorder the following. #31

• Use a straight edge to draw a line segment longer than PQ. Label the point C on the new segment.

• Set your compass at the length of PQ.

• Place your compass at C. Mark point D on the new segment. $$\overline{CD}\cong\overline{PQ}$$  

1

2

3

• 1
• 2
• 3

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Multiple Choice

The drawing shows a compass and straight edge construction of...what? #13

• the bisector of a given angle

• a perpendicular to a given line at a point on the line

• a perpendicular to a given line from a point NOT on the line

• an angle congruent to a given angle

Multiple Choice

What will be the result of Ruben’s construction? #14

• Ruben constructs a segment perpendicular to AC.

• Ruben constructs the bisector of AC.

• Ruben constructs an angle congruent to ∠B.

• Ruben constructs the bisector of ∠B.

Multiple Choice

Find the value of x.

*****NOT ON THE PACKET.******

• 41

• 45

• 31

• 98

Multiple Choice

The Contrapositive of the statement: If p, then q. #15

• If p, then q.

• If q, then p.

• If ~ (not) p, then ~ (not) q.

• If ~ (not) q, then ~ (not) p.

Multiple Choice

Given, "If I have a Siberian Husky, then I have a dog." Identify the converse. #6

• If I do not have a Siberian Husky, then I do not have a dog.
• If I have a dog, then I have a Siberian Husky.
• If I do not have a dog, then I do not have a Siberian Husky.
• If I do not have a Siberian Husky, then I have a dog. 

Multiple Choice

Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse. #7

• If I do not have a Siberian Husky, then I do not have a dog.
• If I have a dog, then I have a Siberian Husky.
• If I do not have a dog, then I do not have a Siberian Husky.
• If I do not have a Siberian Husky, then I have a dog. 

Weighted Average - Formula, Calculations, Examples

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Multiple Choice

What is the justification?

REMEMBER, REMEMBER, REMEMBER #5

• Definition of Supplementary Angles

• Vertical Angles Theorem

• Definition of an Angle Bisector

• Angle Addition Postulate