Geometry Practice Test Ch. 5 Polygon Properties

Name: Date:

Complete each statement. Do not use square as an answer. 1. The three midsegments of a triangle divide the triangle into ____________________ . 2. The opposite angles of a parallelogram are ________________________ . 3. Each interior angle of a regular octagon measures _____________________ . 4. The length of a midsegment of a trapezoid is the _______________________ of the lengths of the bases. 5. The nonvertex angles of a kite are ______________________________. 6. The consecutive angles of a parallelogram are ___________________________ . 7. An equilateral quadrilateral is usually called a _______________________ . 8. The diagonals of a ________________________ are perpendicular bisectors of each other. 9. The diagonals of a parallelogram ____________________________ each other. 10. The sum of the measures of the angles of a heptagon is _______________________ . 11. The midsegment of a trapezoid is _______________________ to the two bases. 12. The vertex angles of a kite are _________________________ by the diagonal. 13. The diagonals of a ________________________ are equal in length. 14. In an isosceles trapezoid, the base angles are ____________________________ . 15. The length of a midsegment between two sides of a triangle is ___________________ the length of the third side.

82º

Find each lettered angle measure. 16.

90º

a = _________

17.

b = _________

18.

c = _________

19.

d = _________

20.

e = _________

21.

f = _________

22.

g = _________

23.

h = _________

d

40º e

b f

70º

g

c

76º h

a

56º

Find each lettered measure. 24.

a = _________

25.

x = _________

26.

y = _________

27.

a = _________

28.

b = _________

29.

x = _________

30.

y = _________

x

Perimeter = 64 26º

y 12

a

96º

a 46º

y

28

b x 24 a

31.

a = _________

32.

w = _________

33.

x = _________

34.

y = _________

x 21

58º

y w 70º

32

A regular octagonal mirror frame is to be build from strips of 2-inch-wide pine lattice. At what angles a and b should the lattice be cut? 35.

a = _________

36.

b = _________ b

b

a a

37. In triangle RNT, RZ is a median, NZ is equal to 5x - 8, and ZT is equal to 7x - 18. What is the length of NT (in inches)? R

N

Z

T

38. A midsegment of trapezoid TRSK measures 52.5 mm. The longer base is 64.3 mm. T

K What is the length of the shorter base?

R

S

Provide each missing reason or statement in this flowchart proof. Given: Isoseles Trapezoid LMNP, with LM ˜= PN and diagonals LN and PM Show: LN = ˜ PM Given L

LMNP is an isosceles trapezoid

P

Def. of isosceles trapezoid LM ˜= PN Base ∠s of Isosceles Trap ˜= 39. ______________

M

N

42. _____________

44. ______________

43. ______________

45. ______________

40. __________________ 41. _______________

46. Find the measure of the sum of the interior angles of a regular heptagon, and the measure of one exterior angle of a regular heptagon.

The quadrilateral below is a rhombus, and the measure of ∠NML = 21º. J

K

N

M

L

47. What is the measure of ∠JNK?

48. What is the measure of ∠JKL?

49. What is the measure of ∠KJN?

50. In the figure below, ∆FIG is congruent to ∆HGI. What is the measure of ∠HGI? G

H (5x)º

(2x)º 40º F

I

51. M, S, and R are midpoints of the sides of triangle NTQ. MR = 31 cm, SR = 24 cm, and TQ = 70 cm. Find the perimeter of triangle NTQ and the perimeter of triangle MSR. N

S

M 31 cm

T

24 cm

R

Q

70 cm

52. Given m∠IPT = 6x - 12 and KP = 4x, find KT. I

K

4x

(6x - 12)º P

E

T

53. ABCD is an isosceles trapezoid with BE = x + 5, CE = y - 2, AE = x + 1, BD = y + 2. Find AC. A

D E

B

C

RHOM is a rhombus O (?, ?)

y H (9, 13)

M (14, 8) R (4, 3) x 54. Find the coordinates of point O.

55. Find the slopes of HM and RO.

56. What does the result in the previous problem verify.

What is the most descriptive name for each quadrilateral below. 57. _________________

58. _________________

59. _________________

60. _________________

61. _________________

62. _________________

63. _________________

5

12

64. _________________

65. _________________

7

11

Practice Test Ch. 5.pdf

Page 1 of 8. Geometry Name: Practice Test Ch. 5. Polygon Properties Date: Complete each statement. Do not use square as an answer. 1. The three midsegments of a triangle divide the triangle into . 2. The opposite angles of a parallelogram are . 3. Each interior angle of a regular octagon measures . 4. The length of a ...

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