Geometry Chapter Review Questions

1
Geometry Chapter Review Questions

• Zach Windley
• Mrs. Britt
• 3rd period
• 11-29-07

2
Chapter 1

• Using inductive reasoning find the next three
  terms in this sequence.
• 1,4,9,16,25,36,49,64,81,100,____,____,____
• 121, 144, 169

3
Chapter 1

• What is the term that is defined as the set
• of all points.
• Space.

4
Chapter 1

• Find the next two terms in this sequence.
• 1,3,7,13,21, ___,____
• 31,43

5
Chapter 1

• What type of line is this. Ex ray, segment,
  opposite rays.
• Opposite Rays

6
Chapter 1

• What is the following called?
• Line segment.

7
Chapter 1

• Find the perimeter and area of a square with a
  side of 8 cm
• 32 64
• P 4s A s²

8
Chapter 1

• What is the midpoint formula?
• Average of the xs and the average of the ys.

9
Chapter 1

• What is the distance formula.
• v(x x )²(y y )²

2
1
2
1
10
Chapter 1

• Find the area of a rectangle with a base of 4 cm
  and height of 2cm.
• 8 cm
• A bh or A lw

11
Chapter 1

• lt BDK 3X4,ltJDR 5X-10 and these lts are
  congruent so find the value of x and the value of
  the angles.
• X7and the lts 25

12
Chapter 1

• Find the next two terms in the following
  sequences.
• o, t, t, f, f, s, s, e, __,___
• n, t, because you are counting from one.

13
Chapter 1

• J, F, M, A, M, ___, ___
• J, J, these are the months of the year.

14
Chapter 1

• 3. 5, 10, 20, 40, ___, ___
• 80, 160

15
Chapter 1

• 2, 4, 8, 16, 32,___,___
• 64, 128

16
Chapter 1

• 81, 27, 9, 3, __, __,
• 1, 1/3

17
Chapter 1

• Find area of rectangle for the following
• 1. 4in by 7in
• 28 inches sq.

18
Chapter 1

• Find area of rectangle for the following
• 2. 21in by 7 in
• 147 in sq

19
Chapter 1

• Find area of rectangle for the following
• 3. 16cm by 23cm
• 368cm sq

20
Chapter 1

• Find area of rectangle for the following
• 4. 24m by 36m
• 864m sq.

21
Chapter 1

• Find area of rectangle for the following
• 9cm by 9cm
• 81cm sq

22
Chapter 2

• Give the converse of the following statement.
• If it is a weekday then we are in school.
• If we are in school then it is a weekday.

23
Chapter 2

• What is the symbolic form of the conditional and
  the converse.
• p ? q and q ? p

24
Chapter 2

• Write a conditional out of the following
  sentence.
• Whole numbers that have 2 as a factor are even.
• If whole numbers have two as a factor, they are
  even.

25
Chapter 2

• What is the statement called that combines the
  conditional and its converse in an if and only if
  statement?
• Biconditional.

26
Chapter 2

• Write the biconditional of these two statements.
• Conditional If two lines are perpendicular, then
  they intersect to form rt. Angles.
• Converse If two lines intersect to form rt lts
  then they are perpendicular
• Biconditional Two lines are perpendicular iff
  they intersect to form rt lts.

27
Chapter 2

• lt A is congruent to ltA is an example of which
  property of congruence.
• Reflexive.

28
Chapter 2

• If two lts sum 180 they are
• supplementary

29
Chapter 2

• When the 1st 2nd ,and 2nd 3rd, and the 1st
  3rd that is which property.
• Transitive

30
Chapter 2

• Use Law of Detachment to make a conclusion.
• If two angles are supplementary, then the sum of
  their measures is 180. lt1 and lt2 are
  supplementary.
• Their sum equals 180.

31
Chapter 2

• Line l and m are perpendicular. If two lines are
  perpendicular, they intersect to form rt lts.
• Line l and m form rt lts.

32
Chapter 2

• Use the Law of Syllogism for the following
  problems.
• If Kate studies she will get good grades. If Kate
  gets good grades, she will graduate.
• If Kate studies, she will graduate.

33
Chapter 2

• 2. If a , then b. If b, then c.
• If a, then c.

34
Chapter 2

• If one angle 3y20 and it vertical angle is
  5y16 what is the measure of the angles.
• 74, 74

35
Chapter 2

• Using the addition property of equality find the
  answer to the following.
• X5, then X3___
• 8

36
Chapter 2

• Use Distributive property on the following
  problem.
• 2(4x5)
• 8x10

37
Chapter 2

• What are vertical angles.
• Two angles whose sides from two pairs of opposite
  rays.

38
Chapter 2

• What is deductive reasoning
• The process of reasoning logically from given
  statements to a conclusion.

39
Chapter 2

• True or False
• A contrapositive and inverse of a statement have
  the same truth value.
• False, the contrapositive and the conditional
  have the same truth value. Also the converse and
  the inverse have the same truth value.

40
Chapter 2

• When a conditional and its converse are true they
  might be written as a _______________
• Biconditional.

41
Chapter 2

• If the sum of two angles 90 degrees then they
  are
• Complementary.

42
Chapter 3

• These two angles are congruent by
• PAI

43
Chapter 3

• In an equilateral triangle each angle equals
• 60 degrees

44
Chapter 3

• The slope intercept form of a linear equation is
• ymxb

45
Chapter 3

• Write each equation in slope intercept form.
• Y-1x
• Yx1

46
Chapter 3

• 2. Y2x4
• y -2x4

47
Chapter 3

• 8x4y 16
• Y -2x4

48
Chapter 3

• 4. 2x6y6
• Y -1/3x 1

49
Chapter 3

• Parallel lines have the ______ slopes
• same

50
Chapter 3

• Perpendicular line have the negative __________
  for slopes.
• Reciprocals

51
Chapter 3

• In a triangle an angle is either right, obtuse,
  or _________
• acute

52
Chapter 3

• Angle between 90 and 180 degrees is an
• Obtuse angle

53
Chapter 3

• The equation y2x3 is written in ________
  __________ form.
• Slope intercept form.

54
Chapter 3

• A triangle that contains a right angle and two 45
  degree angles
• Right isosceles triangle

55
Chapter 3

• A polygon with equal sides and angles.
• Equiangular and equilateral.

56
Chapter 3

• What is the exterior measure of the following
  shapes.
• Hexagon
• 60 degrees

57
Chapter 3

• An octagon
• 45 degrees

58
Chapter 3

• A pentagon
• 72 degrees

59
Chapter 3

• What is the interior angle for the following.
• Pentagon
• 108

60
Chapter 3

• An octagon
• 135 degrees.

61
Chapter 3

• A hexagon
• 120 degrees

62
Chapter 4

• Triangle LMC is congruent to Triangle BJK. Using
  this statement find out the answers to these
  following problems
• 1. line segment LC is congruent to
• BK

63
Chapter 4

• KJ is congruent to
• LM

64
Chapter 4

• JB is congruent
• ML

65
Chapter 4

• ltL is congruent to
• ltB

66
Chapter 4

• ltK is congruent to lt
• C

67
Chapter 4

• ltM is congruent to lt
• J

68
Chapter 4

• What are the two ways to classify triangles that
  starts with a side.
• SSS and SAS

69
Chapter 4

• What are the two ways to classify triangle by
  starting with an angle
• AAS and ASA

70
Chapter 4

• What does CPCTC stand for.
• Corresponding parts of congruent triangles are
  congruent.

71
Chapter 4

• The base angles in a isosceles triangle are
• congruent

72
Chapter 4

• What is a corollary.
• A statement that follows immediately from a
  theorem.

73
Chapter 4

• The side opposite the right angle is the
• hypotenuse

74
Chapter 4

• What are the sides that form a right lt in a right
  triangle called?
• legs

75
Chapter 4

• Congruent sides of the isosceles triangle form
  the ___________ of the isosceles triangle.
• legs

76
Chapter 4

• Name the 5 ways to classify triangles?
• SSS, SAS, ASA, AAS, HL

77
Chapter 4

• For the next few slides complete the following
  congruence statements from what is given.
• RSTUV congruent to KLMNO
• TS congruent to
• ML

78
Chapter 4

• LM congruent to
• ST

79
Chapter 4

• ltN congruent to
• ltU

80
Chapter 4

• Rh. VUTSR congruent to
• Rh. ONMLK

81
Chapter 4

• What kind of angles could a obtuse triangle have
• An obtuse and two acute angles

82
Chapter 5

• A midsegment of a triangle is ll to the
  _______from which it doesnt touch.
• third side

83
Chapter 5

• What is equidistance.
• Any point on a line that is the same distance
  from two other lines.

84
Chapter 5

• In an obtuse triangle the altitude is found
  where.
• Outside the triangle forming a right angle.

85
Chapter 5

• The midsegment value is half the 3rd line value
  from which it is ______to.
• parallel

86
Chapter 5

• What is the comparison property of inequality.
• If ab c and cgt0, then agtb

87
Chapter 5

• A is a segment whose endpoints whose endpoints
  are a vertex and the midpoint of the side
  opposite the vertex.
• median of a triangle

88
Chapter 5

• The length of the perpendicular segment from a
  point to a line is the
• Distance from the pt to the line

89
Chapter 5

• The notation q p is the of p q
• contrapositive

90
Chapter 5

• A pt where _________is a pt of concurrency.
• three lines intersect

91
Chapter 5

• A midsegment of a triangle_______ the midpoints
  of two sides together.
• connects

92
Chapter 5

• If it is an altitude it can also be referred to
  as the
• Perpendicular bisector, median and angle bisector

93
Chapter 5

• What is the point of concurrency of a triangle
  that is 2/3s the distance from any vertex.
• centroid

94
Chapter 5

• What is a median.
• A line segment from a vertex to the midpt of the
  opposite side.

95
Chapter 5

• What is an altitude?
• Perpendicular segment from a vertex to the line
  containing the opposite side.

96
Chapter 5

• What is the orthocenter?
• The orthocenter of a triangle is the point of
  intersection of the lines containing the
  altitudes of the triangle

97
Chapter 5

• True or false
• Lines that contain the altitudes of a triangle
  are concurrent.
• True, its a theorem.

98
Chapter 5

• The midpt of an hypotenuse of a rt . triangle is
• equidistant vertices of the triangle

99
Chapter 5

• True of False.
• A circle is inscribed in a polygon if the sides
  of the polygon are tangent to the circle.
• True, also a polygon is inscribed in a circle if
  the vertices of the polygon are on the circle.

100
Chapter 5

• Proof involving indirect reasoning is an
  _____________
• Indirect Proof.

101
Chapter 5

• All possibilities are considered and then all but
  one are proved false during this process
• Indirect reasoning

102
Chapter 6

• Quad w/ both pairs of opposite sides parallel
• parallelogram

103
Chapter 6

• Parallelogram w/ four congruent sides
• rhombus

104
Chapter 6

• Parallelogram w/ four rt. angles
• Rectangle

105
Chapter 6

• Parallelogram w/ congruent sides and 4 rt. angles
• Square

106
Chapter 6

• Quad w/ two pair of adjacent sides congruent and
  no opposite sides congruent.
• Kite

107
Chapter 6

• Quad w/ exactly one pair of parallel sides
• Trapezoid

108
Chapter 6

• Quad whose non parallel sides/legs are congruent
• Isos. trapezoid

109
Chapter 6

• To be a sq what properties must it acquire.
• 1 rect. and 1 rhombus prop.

110
Chapter 6

• Two angles that share a base of a trapezoid are
  its
• Base Angles

111
Chapter 6

• Angles of a polygon that share a common side are
• Consecutive angles

112
Chapter 6

• What are the properties of a isos trapezoid
• Congruent base angles, sides, and diagonals

113
Chapter 6

• In a parallelogram the diagonals
• Bisect each other.

114
Chapter 6

• True of false
• A square is a rectangle
• True

115
Chapter 6

• T or F
• A kite is a parallelogram
• false

116
Chapter 6

• T or F
• A rhombus is a sq
• This is true sometimes.

117
Chapter 6

• Property of an parallelogram
• Opposite angles congruent

118
Chapter 6

• Way to classify a parallelogram
• Both pairs of opposite sides are

119
Chapter 6

• In a parallelogram consecutive angles are
• supplementary

120
Chapter 6

• All of the members in the parallelogram have both
  pairs of opposite sides ________
• Parallel

121
Chapter 6

• What are the special quadrilaterals.
• Kite , Trapezoid , rhombus , parallelogram,
  square, rectangle, and isosceles triangle.