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101 Word Vocabulary List Geometry/Honors Geometry
Summer Preparedness Project (“Math Summer Reading”)
Summer 2019 – know and be prepared to define/discuss the following terms
1. Geometry - branch of mathematics that deals with points, lines, planes and solids and examines their
properties.
2. Point – has no size; length, width, or height. It is represented by a dot and named by a capital letter.
3. Line – set of points which has infinite length but no width or height. A line is named by a lower case letter
or by any two points on the line.
4. Plane – set of points that has infinite length and width but no height. We name a plane with a capital
‘funny font’ letter.
5. Collinear points – points that lie on the same line.
6. Noncollinear points – points that do not lie on the same line.
7. Coplanar points – points that lie on the same plane.
8. Noncoplanar points – points that do not lie on the same plane.
9. Segment – part of a line that consists of two points called endpoints and all points between them.
10. Ray- is the part of a line that contains an endpoint and all points extending in the other direction.
11. Congruent segments – segments that have the same length.
12. Bisector of a segment – line, ray segment, or plane that divides a segment into two congruent segments.
13. Midpoint of a segment – a point that divides the segment into two congruent segments.
14. Acute angle – angle whose measure is between 0 degrees and 90 degrees.
15. Right angle – angle whose measure is 90 degrees.
16. Obtuse angle – angle whose measure is greater than 90 degrees but less than 180 degrees.
17. Straight angle – angle whose measure is 180 degrees.
18. Congruent angles – angles that have the same measure.
19. Angle bisector – ray that divides an angle into two congruent adjacent angles.
20. Triangle – the figure formed by three segments joining three noncollinear points. Each of the three points
is a vertex of the triangle and the segments are the sides.
21. Acute triangle- triangle that has all acute angles.
22. Right triangle – triangle with a right angle.
23. Obtuse triangle – triangle with an obtuse angle.
24. Equiangular triangle – triangle with all angles congruent.
25. Scalene triangle – triangle with no sides congruent.
26. Isosceles triangle – triangle with at least two sides congruent.
27. Equilateral triangle – triangle with all sides congruent.
28. Adjacent angles – two coplanar angles with a common vertex and a common side between them
29. Vertical angles – the non-adjacent angles formed by two intersecting lines.
30. Complementary angles – two angles whose sum is 90 degrees.
31. Supplementary angles – two angles whose sum is 180 degrees.
32. Perpendicular lines – two lines that intersect to form right angles.
33. Parallel lines – two lines are parallel if they are coplanar and do not intersect.
34. Skew lines – are noncoplanar lines they will not intersect.
35. Polygon – union of 3 or more coplanar segments that meet only at endpoints such that at most two
segments meet at one endpoint and each segment meets exactly two other segments.
36. Regular polygon – polygon which is equilateral and equiangular.
37. Congruent triangles – two triangles are congruent if corresponding sides are congruent and corresponding
angles are congruent.
38. Median of a triangle – segment from the vertex of a triangle to the midpoint of the opposite side.
39. Altitude of a triangle – segment from the vertex of a triangle perpendicular to the line containing the
opposite side.
40. Parallelogram – quadrilateral with both pairs of opposite sides parallel.
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41. Rectangle – parallelogram with a right angle.
42. Rhombus – parallelogram with consecutive sides congruent.
43. Square – all sides congruent and all four right angles.
44. Trapezoid – quadrilateral with exactly one pair of opposite sides parallel.
45. Ratio – comparison of two numbers by division.
46. Proportion – equation that states two ratios are equal.
47. Pythagorean Theorem – in a right triangle, the sum of the squares of the legs is equal to the square of the
hypotenuse
48. Circle – the set of points in a plane that are equidistant from a fixed point called the center.
49. Radius – segment whose endpoints are the center of the circle and a point on the circle.
50. Chord – segment that connects two points on the circle.
51. Diameter – chord that passes through the center of the circle.
52. Secant – line that intersects a circle in two points.
53. Tangent – line in the plane of the circle that intersects the circle in one point.
54. Concentric circles – two or more circles in the same plane with the same center.
55. Congruent circles – circles that have congruent radii.
56. Sphere – set of points in space a given distance from a given point called the center.
57. Arc – consists of two points and the continuous part of a circle between them.
58. Semi-circle – arc whose endpoints are the endpoints of a diameter.
59. Minor arc – arc whose measure is less than a semi-circle (180 degree).
60. Major arc – arc whose measure is greater than a semi-circle (180 degrees).
61. Central angle of a circle – angle whose vertex is the center of the circle and whose rays are radii of the
circle.
62. Congruent arcs – arcs with equal measure in the same circle or in congruent circles.
63. Inscribed angles – angle whose vertex is on the circle and whose sides are chords of the circle.
64. Bases – congruent polygons lying in parallel planes.
65. Altitude – segment joining the two base planes and perpendicular to both.
66. Lateral faces – faces of a prism that are not its bases.
67. Lateral edges – intersection of adjacent lateral faces form lateral edges.
68. Lateral area – sum of the area of its lateral faces.
69. Surface area – sum of the area of all its faces.
70. Volume – number of cubic units contained in a solid.
71. Right Prism – is a prism whose lateral faces are rectangles.
72. Oblique prism – is a prism whose lateral faces are parallelograms.
73. Cube – is a prism where all sides are squares.
74. Triangular prism – is a prism whose parallel faces (the bases) are congruent triangles.
75. Cylinder – has two congruent circular bases in parallel planes.
76. Cone – has a vertex and a circular base.
77. Line of symmetry – divides a figure into two congruent halves that reflect each other.
78. Perimeter – of a polygon is the distance around the polygon.
79. Area – of any surface is the number of square units required to cover the surface.
80. Volume – of a 3-dimensional figure is the number of cubic units contained in the solid.
81. Circumference – the distance around a circle.
82. Conditional statement – a statement that can be written in an if-then form.
83. Hypothesis – in a conditional statement the statement that immediately follows the word ‘if’.
84. Conclusion – in a conditional statement the statement that immediately follows the word ‘then’.
85. Converse – the statement formed by exchanging the hypothesis and the conclusion of a conditional
statement.
86. Inverse – the statement formed by negating both the hypothesis and the conclusion of a conditional
statement.
87. Contrapositive – the statement formed by negating both the hypothesis and conclusion of the converse of
a conditional statement.
88. Bi-conditional – the conjunction of a conditional statement and its converse.
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89. Deductive reasoning – a system of reasoning that uses facts, rules, definitions, or properties to reach
logical conclusions.
90. Inductive reasoning – reasoning that uses a number of specific examples to arrive at a plausible
prediction.
91. Proof – a logical argument in which each statement you make is supported by a statement that is accepted
as true.
92. Postulate- a statement that describes a fundamental relationship between basic terms of geometry.
Postulates are accepted as true without proof.
93. Theorems – a statement or conjecture that can be proven true by given, definitions, postulates, or already
proven theorems.
94. Two-column proof – a formal proof that contains statements and reasons organized in two columns.
95. Paragraph proof – an informal proof written in the form of a paragraph that explains why a conjecture for
a given situation is true.
96. Flow proof – a proof that organizes statements in logical order, starting with given statements. Each
statement is written in a box with the reason verifying the statement written below the box.
97. Conjecture – an educated guess based on known information.
98. Sine – for an acute angle of a right triangle, the ratio of the measure of the leg opposite the acute angle to
the measure of the hypotenuse.
99. Cosine – for an acute angle of a right triangle, the ratio of the measure of the leg adjacent to the acute
angle to the measure of the hypotenuse.
100. Tangent – for an acute angle of a right triangle, the ratio of the measure of the leg opposite the acute
angle to the measure of the leg adjacent to the acute angle.
101. Space – set of all points.
