Semester 1 Midterm Study Guide - Weebly

[Pages:31]Name: ______________________ Class: _________________ Date: _________

Semester 1 Midterm Study Guide

____ 1. If EF = 4x + 15, FG = 39, and EG = 110, find the value of x. The drawing is not to scale.

ID: A

A. x = 56 B. x = 16

C. x = 14 D. x = 2

____ 2. If mDEF = 119, then what are mFEG and mHEG? The diagram is not to scale.

A. mFEG = 71, mHEG = 119 B. mFEG = 119, mHEG = 61

____ 3. Name an angle supplementary to COD.

C. mFEG = 61, mHEG = 129 D. mFEG = 61, mHEG = 119

A. BOD

B. COA

C. AOE

D. COB

____

4. Two angles whose sides are opposite rays are called ____ angles. Two coplanar angles with a common side, a common vertex, and no common interior points are called ____ angles. A. vertical; adjacent B. adjacent; vertical C. vertical; supplementary D. adjacent; complementary

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Name: ______________________

ID: A

____ 5. SQ bisects RST, and mRSQ = 2x - 4. Write an expression for RST. The diagram is not to scale.

A. x ? 2

B. 4x ? 4

C. 2x ? 4

D. 4x ? 8

____ 6. Find the coordinates of the midpoint of the segment whose endpoints are H(6, 4) and K(2, 8).

A. (4, 4)

B. (2, 2)

C. (8, 12)

D. (4, 6)

____

7. Noam walks home from school by walking 8 blocks north and then 6 blocks east. How much shorter

would his walk be if there were a direct path from the school to his house? Assume that the blocks are

square.

A. 14 blocks

C. 4 blocks

B. 10 blocks

D. The distance would be the same.

____ 8. Find the perimeter of ABC with vertices A(1, 1), B(7, 1), and C(1, 9).

A. 114 units

B. 24 units

C. 28 units

D. 14 units

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Name: ______________________

ID: A

____ 9. Find, to the nearest tenth, the area of the region that is inside the square and outside the circle. The circle has a diameter of 6 inches.

A. 7.7 in. 2

B. 28.3 in. 2

C. 1.9 in. 2

D. 36 in. 2

____ 10. What is a counterexample for the conjecture?

Conjecture: Any number that is divisible by 4 is also divisible by 8.

A. 24

B. 40

C. 12

D. 26

____ 11. Another name for an if-then statement is a ____. Every conditional has two parts. The part following if is the ____ , and the part following then is the ____. A. conditional; conclusion; hypothesis C. conditional; hypothesis; conclusion B. hypothesis; conclusion; conditional D. hypothesis; conditional; conclusion

____ 12. Draw a Venn diagram to illustrate this conditional:

Cars are motor vehicles.

A.

C.

B.

D.

____ 13. A conditional can have a ____ of true or false.

A. hypothesis

C. counterexample

B. truth value

D. conclusion

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Name: ______________________

ID: A

____ 14. What is the converse of the following conditional? If a point is in the fourth quadrant, then its coordinates are negative. A. If a point is in the fourth quadrant, then its coordinates are negative. B. If a point is not in the fourth quadrant, then the coordinates of the point are not negative. C. If the coordinates of a point are not negative, then the point is not in the fourth quadrant. D. If the coordinates of a point are negative, then the point is in the fourth quadrant.

____ 15. Is the following definition of perpendicular reversible? If yes, write it as a true biconditional. Two lines that intersect at right angles are perpendicular. A. The statement is not reversible. B. Yes; if two lines intersect at right angles, then they are perpendicular. C. Yes; if two lines are perpendicular, then they intersect at right angles. D. Yes; two lines intersect at right angles if (and only if) they are perpendicular.

____ 16. Is the statement a good definition? If not, find a counterexample. A square is a figure with two pairs of parallel sides and four right angles. A. The statement is a good definition. B. No; a rhombus is a counterexample. C. No; a rectangle is a counterexample. D. No; a parallelogram is a counterexample.

____ 17. Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible. I can go to the concert if I can afford to buy a ticket. I can go to the concert. A. I can afford to buy a ticket. B. I cannot afford to buy the ticket. C. If I can go to the concert, I can afford the ticket. D. not possible

____ 18. Use the Law of Syllogism to draw a conclusion from the two given statements. If you exercise regularly, then you have a healthy body. If you have a healthy body, then you have more energy. A. If you do not have more energy, then you do not exercise regularly. B. You have more energy. C. You have a healthy body. D. If you exercise regularly, then you have more energy.

____ 19. Name the Property of Congruence that justifies this statement:

If A B and B C, then A C.

A. Transitive Property

C. Reflexive Property

B. Symmetric Property

D. none of these

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Name: ______________________ ____ 20. m2 = 30. Find m4.

ID: A

A. 150

B. 30

C. 160

____ 21. What is the relationship between 4 and 5?

D. 20

A. corresponding angles B. same-side interior angles

C. alternate interior angles D. alternate exterior angles

____ 22. Find the values of x and y. The diagram is not to scale.

A. x = 51, y = 63 B. x = 77, y = 63

C. x = 63, y = 77 D. x = 77, y = 65

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Name: ______________________ ____ 23. Which lines are parallel if m3 = m6? Justify your answer.

ID: A

A. r ? s, by the Converse of the Same-Side Interior Angles Postulate B. r ? s, by the Converse of the Alternate Interior Angles Theorem C. l ? m, by the Converse of the Alternate Interior Angles Theorem D. l ? m, by the Converse of the Same-Side Interior Angles Postulate

____ 24. Find the value of x for which l is parallel to m. The diagram is not to scale.

A. 28

B. 56

C. 84

____ 25. Find the values of x, y, and z. The diagram is not to scale.

D. 152

A. x = 63, y = 104, z = 76 B. x = 76, y = 63, z = 104

C. x = 63, y = 76, z = 104 D. x = 76, y = 104, z = 63

____ 26. Find the value of x. The diagram is not to scale.

A. 33

B. 70

C. 23

D. 13

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Name: ______________________

ID: A

____ 27. The folding chair has different settings that change the angles formed by its parts. Suppose m2 is 34 and m3 is 76. Find m1. The diagram is not to scale.

A. 130

B. 110

____ 28. What is the slope of the line shown?

C. 100

D. 120

A. 6 11

B.

-

6 11

C.

-

11 6

D. 11 6

____ 29. Find the values of the variables in the parallelogram. The diagram is not to scale.

A. x = 53, y = 31, z = 96 B. x = 53, y = 53, z = 127

C. x = 31, y = 53, z = 96 D. x = 31, y = 53, z = 127

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Name: ______________________

ID: A

Find the length of the missing side. Leave your answer in simplest radical form. ____ 30.

A. 26 ft

B. 206 f t

C. 296 f t

D. 2 74 ft

____ 31. A grid shows the positions of a subway stop and your house. The subway stop is located at (?7, 8) and

your house is located at (6, 4). What is the distance, to the nearest unit, between your house and the

subway stop?

A. 19

B. 14

C. 24

D. 11

____ 32. What are the names of four coplanar points?

A. Points P, M, F, and C are coplanar. B. Points F, D, P, and N are coplanar. C. Points P, M, N, and C are coplanar. D. Points P, M, D, and C are coplanar.

____ 33. Name the line and plane shown in the diagram.

A. QP and plane SR

B. PQ and plane PQS

C. PQ and plane SP D. line P and plane PQS

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