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CP GEOMETRY Name _______________________

MIDTERM REVIEW 2019-2020

1.

The distance between the two points is __________.

2. Identify what each of the following means/represents:

a) AB b) ____

AB c) AB d) AB

3. Use the figure to answer the questions:

a) Name three non-collinear points. b) Name two lines that intersect at point B.

c) Name three planes that intersect at point F. d) Name two planes that do not intersect.

e) Name four points that are not coplanar. f) Plane EFGH and CH intersect at _______.

g) Name a line that is skew to FE .

4. a) Two lines intersect at a _______________________.

b) Two planes intersect in a ________________________.

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5. a) Name a segment through point X.

b) Name a pair of opposite rays.

c) Name line m three different ways.

d) Name 2 lines which appear parallel.

e) Name a ray with endpoint R.

6. a. Name 1 two other ways.

b. If m 1 = 142°, find m 2 .

c. KJT and TJF are __________________.

d. If m 2 = 5x + 4 and m 1 = 24x + 2, find x.

7. Use the diagram to find the value of each variable.

x = ______________

y = ______________

z = ______________

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8. Find the value of x. Name the angle pair relationship.

9. Use the points below to answer the following questions

A(0, 3) B(-1, -4) C(-7, -9) D (8, 10) E (0, -2)

Find: a) AE

b) BC

c) midpoint of BE

d) midpoint of CD

10. Fill in the blank:

a) Points that lie on the same line are called ____________________.

b) Points that lie in the same plane are called ___________________.

c) Vertical angles are _________________________.

d) Angles that form a linear pair are ______________________.

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11. In the figure on the right, point K is the midpoint of 𝐽�̅�. Find each of the following (diagram is

not drawn to scale).

A. x =

B. JL =

C. JK =

12. In the figure on the right, PQ = 27. Find each of the following.

A. x =

B. PL =

C. LQ =

In the figure on the right, OB bisects AOC , and BOC and COD are complementary. Find

each of each of the following. Remember to use three letters to identify angles. (Justify your

answers)

13. x =

14. CODm =

15. AOBm =

16. AODm =

17. Name two adjacent angles to ∠𝐵𝑂𝐶.

18. Name an obtuse angle.

19. Name two rays that are perpendicular to each other.

5x 4 3x

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20. Find m1 and then m2. Justify each answer.

21. Find the value of x. Then find the measure of each angle. Name the theorem/postulate used.

22. Find the value of x. Then find the measure of each angle. Justify/name the theorem/postulate.

23. Find the value of x for which a t . Justify each answer.

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24. Find the value of x for which a t .

25. Find the value of x for which a t .

26. Use the diagram to name the relationship between the angles.

a) ∠1 and ∠2 form a _______________________ and are ______________________.

b) ∠1 and ∠3 are _______________________ angles and are ______________________.

c) ∠1 and ∠5 are _________________________ angles and are ______________________.

d) ∠1 and ∠7 are _______________________ angles and are ______________________.

e) ∠2 and ∠5 are _______________________ angles and are ______________________.

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27. Find the value of each variable. Justify each answer.

28. Find the value of x and the 𝑚∠𝐴.

x = ___________________

𝑚∠𝐴 = __________________

29. Graph the lines on the coordinate plane. Identify as horizontal, vertical or oblique.

a) 𝑦 = −3𝑥 + 2 b) 𝑦 = −6 c) 𝑥 = 4 d) 𝑦 =1

2𝑥 − 5

______________ ______________ ______________ ______________

30. Are the lines parallel, perpendicular or neither?

a)

y 3x 2

y 1

3x 2

b) 𝑦 = 4x − 1 c)

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10

x

y

𝑦 = 4x + 26

__________________ __________________ __________________

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31. Write the equation of the line in slope- intercept form.

a) with slope 2

3, through the point (−6,12) ___________________

b) through the points (−3,8) and (−1,12) ___________________

c)

___________________

32. a) What is the slope of a line parallel to 𝑦 = 7𝑥 − 12?

b) What is the slope of a line perpendicular to 𝑦 = −2

5𝑥 + 13?

33. Solve the system:

a) b)

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Graph the image of the figure using the transformation indicated.

34. 35.

36. 37.

38. translation ⟨6,2⟩ 39. translation ⟨−1, −2⟩

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Name the quadrant after a:

40. 41.

Write a rule to describe the transformation.

42. 43.

Determine if the following pictures have line symmetry, rotational symmetry or both. Draw in any

lines of symmetry and state the angle of rotation.

44. 45.

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46. If ΔHIL ΔSUV name the corresponding angles and sides.

a) 𝐻𝐼̅̅̅̅ ≅ ______ b) ) 𝐼�̅� ≅ ______ c) ) ∠𝐼𝐿𝐻 ≅ ______ d) ∠𝑈𝑆𝑉 ≅ ______

47. Supply the reasons in the two-column proof.

Given: X is the midpoint of AG and of NR .

Prove: ΔANX ΔGRX

a) X is the midpoint of AG

b) AX GX

c) 1 2

d) X is the midpoint of NR

e) NX RX

f) ΔANX ΔGRX

State which postulate/theorem, if any, could be used to prove the two triangles congruent? If not

enough information is given, write not possible.

48. 49. 50.

51. 52. 53.

21X

A

G

N

R

12

y

x

11050

x

y

100

In #54-55, find the values of the variables.

54. 55.

56.

57. Given: ∠𝐴𝐶𝐵 ≅ ∠𝐴𝐶𝐷

C is the midpoint of BD

Prove: 𝐴𝐵̅̅ ̅̅ ≅ 𝐴𝐷̅̅ ̅̅

A

B C D

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58. Find the values of the variable for the regular polygon below.

59. Find the missing angle measure.

60. What is the interior angle sum of a convex 22-gon?

61. What is the measure of an exterior angle of a regular 13-gon?

62. A parallelogram is a quadrilateral with 2 pairs of .

63. A trapezoid is a quadrilateral with exactly 1 pair of .

64. A rectangle is a parallelogram with 4 .

65. A rhombus is a parallelogram with 4 .

66. Find the value of x and the perimeter of this isosceles trapezoid.

x = ____________

perimeter = ______

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67. Find x and y for the square.

x = ____________

y = ____________

68. Given parallelogram ABCD and , find

m B ___________

m C ___________

m D ___________

69. Determine the values of x and y for which quadrilateral ABCD would be a parallelogram.

AB= 4y - 1 CD=3y + 3

x = _______________

y = _______________

40Am .,, DmandCmBm

xAm )30(xBm

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70. Find x in each trapezoid.

a) b)

x

71. Find the values of variables.

a) b)

x = ____________ x = _______________

y = ____________ y = _______________

z = ____________

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72. ABCD is a kite and 80m DAB , 110m ADC and 60m DCB .

a) Find m ABC .

b) Find m CAB

c) Find 𝑚∠𝐴𝐹𝐵

73. Use the properties of kites to find the values of the variables.

x = _________________

y = _________________