EoC Review

Name:_________________________ Period:_____ Date:_______________Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

True / FalseIndicate whether the statement is true or false. CIRCLE THE ANSWER

Write true or false.

1. The diagonals of a parallelogram are always perpendicular.a. Trueb. False

2. A quadrilateral with two pairs of parallel sides is always a parallelogram.a. Trueb. False

3. The slope of and is and the slope of and is . ABCD is a parallelogram.a. Trueb. False

4. True or false. A quadrilateral that is a rectangle and a rhombus is a square.a. Trueb. False

CompletionEnter the appropriate word(s) to complete the statement.

altitude Incenter orthocentercentroid indirect proof perpendicular bisectorcircumcenter indirect reasoning point of concurrencyconcurrent lines median proof by contradiction

Choose from the terms above to complete each sentence.

5. A(n) ____________ is a segment that joins a vertex of a triangle and is perpendicular to the side opposite to the vertex.

6. Proof by contradiction is a type of ____________.

7. The ____________ of a triangle is equidistant from the vertices of the triangle.

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EoC Review

Name:_________________________ Period:_____ Date:_______________Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

acute angle coplanar n-gon right angleadjacent angles cylinder obtuse angle segment bisectorangle degree opposite rays sideangle bisector distance perimeter spacearea edge perpendicular spherebase equiangular polygon plane supplementary anglesbetween equilateral polygon Platonic solid surface areacircumference exterior point undefined termcollinear face polygon vertexcomplementary angles interior polyhedron vertex of a polygonconcave intersection prism vertical anglescone line pyramid volume

Choose from the terms above to complete each sentence.

8. Two angles that lie in the same plane are called ____________ if they share a common side and a common vertex

9. Two angles are ____________ if their measures have a sum of 180.

10. A(n) ____________ divides an angle into two congruent angles.

apothem of a polygon height of a parallelogrambase of a parallelogram height of a trapezoidbase of a triangle height of a trianglecenter of a regular polygon radius of a regular polygoncentral angle of a regular polygon sector of a circle

Choose from the terms above to complete each sentence.

11. The height of a parallelogram and the ____________ are always perpendicular.

12. In terms of geometric shapes, a slice of pizza closely resembles a ____________.

13. A line drawn from the center of a regular polygon perpendicular to a side of the polygon is called a(n) ____________.

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EoC Review

Name:_________________________ Period:_____ Date:_______________Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

base legs rhombusbase angle midsegment of a trapezoid squarediagonal parallelogram trapezoidisosceles trapezoid rectangle

Choose from the terms above to complete each sentence.

14. A quadrilateral that is both a rectangle and a rhombus is a(n) ____________.

15. A quadrilateral with only one pair of opposite sides parallel is a(n) ____________.

16. A quadrilateral with only one pair of opposite sides parallel and the other pair of opposite sides congruent is a(n) ____________.

17. A quadrilateral with four congruent sides is a(n) ____________.

18. A quadrilateral with two pairs of opposite sides parallel is a(n) ____________.

algebraic proof converse inductive reasoning related conditionalsaxiom counterexample informal proof statementcompound statement deductive argument inverse theoremconclusion deductive argument logically equivalent truth tableconditional statement disjunction negation truth valueconjecture formal proof paragraph proof truth valueconjunction hypothesis postulatecontrapositive if-then statement proof

Choose from the terms above to complete each sentence.

19. The statement immediately following the word then is called the ____________ of an if-then statement.

20. The statement immediately following the word if is called the ____________ of an if-then statement.

21. A(n) ____________ is an educated guess based on known information.

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EoC Review

Name:_________________________ Period:_____ Date:_______________Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

altitude isometric view regular pyramid right coneaxis lateral area right cylinderbase edges lateral edge right prismcomposite solid lateral face similar solidscongruent solid non-Euclidean geometry slant heightcross section oblique cone spherical geometryEuclidean geometry oblique cylinder topographical mapgreat circle oblique prism

Choose from the terms above to complete each sentence.

22. ____________ is the measure of the amount of space that a figure encloses.

23. If the axis of a cylindrical is also the altitude, then the cylinder is called a(n) ____________.

24. ____________ have the same shape but not the same size.

25. The height of each lateral face of a regular pyramid is called a(n) ____________.

angle of rotation line of reflection plane symmetrycenter of rotation line of symmetry rotational symmetrycomposition of transformation line symmetry symmetryglide reflection magnitude of symmetry translation vector

order of symmetry

Choose from the terms above to complete each sentence.

26. A transformation representing a flip of a figure is called a(n) ____________.

27. A(n) ____________ is a transformation that turns every point of a preimage through a specified angle and direction about a fixed point.

28. A(n) ____________ is the composition of a translation followed by a reflection in a line parallel to the translation vector.

29. A figure in the plane has ____________ if the figure can be mapped onto itself by a reflection in a line.

acute triangle coordinate proof flow proof remote interior anglesPage 4

EoC Review

Name:_________________________ Period:_____ Date:_______________Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

auxiliary line corollary included angle right trianglebase angles corresponding parts included side rotationcongruence transformation equiangular triangle isosceles triangle scalene trianglecongruent triangles equilateral triangle obtuse triangle translation

exterior angle reflection vertex angle

Choose from the terms above to complete each sentence.

30. A triangle that has one 90° angle is called a(n) ____________.

31. The ____________ is formed by the congruent legs of an isosceles triangle.

32. A(n) ____________ organizes a series of statements in logical order, starting with the given statements.

33. The ASA postulate involves two corresponding angles and their corresponding ____________.

34. A(n) ____________ uses figures in the coordinate plane and algebra to prove geometric concepts.

cross products midsegment of a triangle scale drawingdilation proportion scale factorenlargement ratio scale modelextremes reduction similar polygonsmeans scale similarity transformation

Choose from the terms above to complete each sentence.

35. The product of the ____________ in the equation is 90.

36. The product of the ____________ in the equation is 24x.

37. In , P lies on and Q lies on . If , is called a(n) ____________.

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EoC Review

Name:_________________________ Period:_____ Date:_______________Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

angle of depression inverse sine sineangle of elevation inverse tangent standard positioncomponent form Law of Cosines tangentcosine Law of Sines trigonometric ratiodirection magnitude trigonometrygeometric mean Pythagorean Triple vectorinverse cosine resultant

Choose from the terms above to complete each sentence.

38. In a right triangle, the ____________ of an angle can be found by dividing the length of the opposite leg by the length of the adjacent leg.

39. In a right triangle, the ____________ of an angle can be found by dividing the length of the opposite leg by the length of the triangle’s hypotenuse.

40. An angle between the line of sight and the horizontal when an observer looks downward is called a(n) ____________.

41. The word ____________ is derived from the Greek terms for triangle and measure.

alternate exterior angles equidistant skew linesalternate interior angles parallel lines slopeconsecutive interior angles parallel planes slope-intercept formcorresponding angles point-slope form transversal

rate of change

Choose from the above terms to complete each sentence.

42. The equation is in ____________ form.

43. If two ____________ are cut by a transversal, then each pair of alternate interior angles is congruent.

44. Write the converse of the statement If two angles are supplementary and congruent, then they are right angles.

If __________________________________then they are ____________________________________.

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EoC Review

Name:_________________________ Period:_____ Date:_______________Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

Complete the coordinate proof by supplying the missing information for each corresponding location.

Given: with A(–1, 1), B(5, 1), and C(2, 6).Prove: is isosceles.

45. By the Distance Formula the lengths of the three sides are as follows: ____________.

46. Since ____________, is isosceles.

Subjective Short Answer

Given the following information, determine which lines, if any, are parallel. State the postulate or theorem that justifies your answer.

47. 

48. How many lines of symmetry does this figure have?

Write true or false.

49. If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rectangle.

50. List the sides of FGH in order from shortest to longest.

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EoC Review

Name:_________________________ Period:_____ Date:_______________Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

Refer to the graph. Find the slope of each line.

51. k

52. The figure shows with sides lengths as indicated. What is the value of x?

53. Find x to the nearest degree.

54. The area of a rhombus is 49 square millimeters. If one diagonal is twice as long as the other, what are the lengths of the diagonals?

55. Find the distance between S(5, –7) and T(13, –9). Then find the coordinates of the midpoint of .

56. Bonus D(0, 6) is rotated 30 about the origin. Find the coordinates of its image.

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EoC Review

Name:_________________________ Period:_____ Date:_______________Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

57. The height of a triangle is one-fourth the length of its base. If the area of the triangle is 34.445 square meters, find the length of its base and height.

58. Write the statement An elephant is a mammal in if-then form.

59. Find the area of the kite.

60. Find the lateral area of a regular pentagonal prism if the perimeter of the base is 50 inches and the height is 15 inches.

Define each term in your own words.

61. collinear

62. OMIT

Define each term in your own words.

63. center of rotation

64. Guy wires 80 feet long support a 65-foot tall telephone pole. To the nearest degree, what angle will the wires make with the ground?

Page 9

EoC Review

Name:_________________________ Period:_____ Date:_______________Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

65. Points G and H are midpoints of and in regular hexagon ABCDEF. If AB = 6, find GH.

66. If is an altitude for RST, find the value x.

67.  joins point C in isosceles right ABC to the midpoint P, of . Name the coordinates of P. Then determine the relationship between and .

68. Determine the order and magnitude of the rotational symmetry of a regular decagon.(HINT: When a shape is rotated about its center, if it comes to rest in a position and looks exactly like the original, then it has rotational symmetry. rotational symmetry order. This means that a regular hexagon has 6 sides, 6 lines of symmetry and an order of rotational symmetry of 6.)

69. Bonus Find the value of x.

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EoC Review

Name:_________________________ Period:_____ Date:_______________Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

70. Graph ABC with vertices A(4, 4), B(3, –2), and C(–1, –1). Then graph the image of ABC reflected in the y-axis.

71. Find the area of the rhombus if XY = 8 feet and XA = 5 feet.

72. Find cos M.

Use the coordinate grid to answer the following questions.

73. Find the coordinates of the midpoint of .

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EoC Review

Name:_________________________ Period:_____ Date:_______________Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

74. Bonus Find CE.

Determine the slope of the line that contains the given points.

75. V(–2, –0.25), U(4, –2.5)

76. Find .

77. Name three quadrilaterals that have both rotational and line symmetry.

Use the figure below to answer the following questions. Find the measure of each angle.

78. m 1

Find the area of each figure. Round to the nearest tenth if necessary.

79. 

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EoC Review

Name:_________________________ Period:_____ Date:_______________Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

Use the polygons to answer the following questions.

80. Name polygon RSTUV by its sides. Then classify it as convex or concave and regular or not regular.

81. Bonus Find the area of the shaded region to the nearest tenth. Assume that the hexagon is regular.

82. Write the converse of the statement, If two lines are perpendicular to the same line, then they are parallel.

83. Triangle DEF with D(7, –12), E(2, 10), and F(–11, –8) is translated so that .Find the coordinates of and .

84. Find the measure of each exterior angle of a regular 100-gon.

85. Find the area of a regular hexagon with an apothem length of 4.3 centimeters. Round to the nearest tenth.

86. Write an inequality to compare m 1 and m 2.

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EoC Review

Name:_________________________ Period:_____ Date:_______________Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

87. Find the next term in the sequence 1, 4, 9, 16, 25, . . ..

88. Find the value of x in kite EFGH.

Name the definition, property, postulate, or theorem that justifies each statement.

89. If x = 2, then 2 = x.

Determine the slope of the line that contains the given points.

90. B(–2, 7), N(8, –8) 91. E(–5, 6), Z(4, –3)

92. Find x. 

93. Name the theorem that can be used to state that , , and given B is the midpoint of , D the midpoint of , and E the midpoint of .

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EoC Review

Name:_________________________ Period:_____ Date:_______________Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

94. Bonus Find x.

95. If quadrilateral ABCD quadrilateral PQRS, find BC.

96. What is the order and magnitude of rotational symmetry of a square?

97. A biker will jump over a ramp, where x and z are measured in feet. Write an inequality relating x and z.

98. LAWN Leila has to buy grass seed for her lawn. Her lawn is in the composite figure shown. What is the area of the lawn? Round to the nearest tenth.

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EoC Review

Name:_________________________ Period:_____ Date:_______________Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

99.  is an altitude of . Find the value of y.

100. 

Find the value of x. Round to the nearest tenth.

101. Use the Law of Detachment to write a valid conclusion for statements (1) and (2).

(1) All fish can swim.(2) Charlie is a fish.

Use the figure below to answer the following questions.

102. Find m 2.

103. Bonus The length of each side of a cube is 8 inches long. Find the surface area of a sphere inscribed in the cube. Round to the nearest tenth.

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EoC Review

Name:_________________________ Period:_____ Date:_______________Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

Refer to the figure. Given a || b & m 7 = 94°, find the measure of the following angles.

104. m 9

Name the definition, property, postulate, or theorem that justifies each statement.

105. If PQ = RS, then PQ + AB = RS + AB.

106. In the figure, bisects and . Determine which theorem or postulate can be used to prove that .

.

Use the polygons to answer the following questions.

107. Name polygon ABCDEF by its sides. Then classify it as convex or concave and regular or not regular.

108. How many lines of symmetry does this figure have?

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EoC Review

Name:_________________________ Period:_____ Date:_______________Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

109. If , find the perimeter of .

110. The area of a circle is 63.6 square feet. To the nearest tenth, what is the length of the diameter?

State the definition, property, postulate, or theorem that justifies each statement.

111. If and , then .

Find x and y.

112. 

113. Bonus Find EG.

114. Identify the line(s) of symmetry in the figure. Use the figure

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EoC Review

Name:_________________________ Period:_____ Date:_______________Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

115. The circle with center F is divided into sectors. In circle F, is a diameter. The radius of circle F is 3 units.Find the arc length of the following:

Arc Arc length

116. If and centimeters, find QM.

117. Find the coordinates of the intersection of the diagonals of parallelogram XYZW with vertices:X(3, 0), Y(3, 8), Z(–2, 6), and W(–2, –2).

118. Write an inequality to describe the possible values of

x.

119. In right triangle ABC, Let sinB = r and cosB = s. What is sinC – cosC?

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EoC Review

Name:_________________________ Period:_____ Date:_______________Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

120. The measures of the sides of a triangle are 48, 55, and 73. Use the Pythagorean Theorem to classify the triangle as acute, obtuse, or right.

121. Find the area of the trapezoid.

Refer to the figure.

122. Name the transversal that forms 3 and 6. Then identify the special name for the angle pair.

123. Name the coordinates of S(–7, 1) under a reflection in the y-axis.

In the figure, and are opposite rays and bisects .

124. Find the value of x so that .

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EoC Review

Name:_________________________ Period:_____ Date:_______________Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

125. Line l contains points (1, –3) and (0, 4). Point H has coordinates (–1, 3). Find the distance from H to l.

Determine the slope of the line that passes through the given points.

126. G(–6, 14), L(–3, 9)

127. Find x.

128. Determine whether the quadrilateral with vertices A(5, 7), B(1, –2), C(–6, –3), and D(2, 5) is a parallelogram.Use the slope formula.

129. Write the coordinates of the image of P(–2, 5) reflected in the line y = 2.

130. Bonus If and .Find the values of x and y.

131. What transformation is represented, reflection, translation, or rotation?

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EoC Review

Name:_________________________ Period:_____ Date:_______________Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

132. Find the measure of each angle in the figure.

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EoC Review

Name:_________________________ Period:_____ Date:_______________Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

133. Complete the proof below by supplying the missing information for each corresponding location.

Given: AD = CB and AC > DBProve: m ADC > m DCB

Proof:Statements Reasons1. AD = CB and AC > DB 1. Given2. 2. (__________)3. 3. (__________)4. m ADC > m DCB 4. (__________)

134. Name two properties that are preserved by a reflection.

135. If AB = 10 and = 5, is the dilation an enlargement, reduction, or congruence transformation?

136. Graph PQR with vertices at P(3, 4), Q(5, –1), and R(–3, 0). Then graph the image of PQR reflected in the x-axis.

137. Find x.

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EoC Review

Name:_________________________ Period:_____ Date:_______________Directions: Use any notes, peers, etc. to answer EACH QUESTION CORRECTLY.

138. Write the statement All chickens have two wings in if–then form.

139. Find the distance between A(–2, 1) and B(4, –3).

140. The figure shows inscribed in circle D. If , find

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