Math 3315: Geometry Vocabulary Review Human Dictionary: WORD BANK [acute angle] [acute triangle] [adjacent interior angle] [alternate exterior angles] [alternate interior angles] [altitude] [angle] [angle_addition_postulate] [angle bisector] [arc] [base angles of isosceles triangle] [base angles of a trapezoid] [bisect] [central angle] [chord] [circle] [collinear] [complementary] [concave polygon] [concentric circles] [congruent] [congruent circles] [conjecture] [convex polygon] [coplanar] [corresponding angles] [counterexample] [diagonal] [diameter] [endpoints] [equidistant] [equilateral_triangle] [exterior angle] [image] [included angle] [included side] [isosceles trapezoid] [isosceles triangle] [kite] [line] [line segment] [line of symmetry] [linear pair] [major arc] [measure of an angle] [median] [midpoint] [midsegment of trapezoid] [midsegment of triangle] [minor arc] [non-vertex angles] [obtuse angle] [obtuse triangle] [parallel lines] [parallelogram] [perimeter] [perpendicular bisector] [perpendicular lines] [plane] [point] [point of tangency] [polygon] [radius] [ray] [rectangle] [reflection] [regular polygon] [remote interior angles] [rhombus] [right angle] [right triangle] [rotation] [scalene triangle] [segment_addition_postulate] [segment bisector] [semicircle] [sides of an angle] [side of a polygon] [skew] [square] [supplementary] [tangent] [translation] [transversal] [trapezoid] [vertex angle] [vertex of an angle] [vertical angles] The definition of each term above is given below, in random order. Place the correct term in the space before its definition, and then sketch an example. The first one has been done for you. TERM DEFINITION SKETCH 1. LINE An undefined term thought of as a straight, continuous arrangement of infinitely many points extending forever in two directions. It has length, but no width or thickness, so it is one-dimensional. A B AB is a line 2. A line that intersects a circle in only one place. 3. A quadrilateral that has 4 congruent sides. 4. A ray that has its endpoint at the vertex of an angle and that divides the angle into two congruent angles 5. Angles formed by two intersecting lines; they share a common vertex but not a common side. 6. A closed figure in a plane, formed by connecting line segments endpoint-to-endpoint with each segment intersecting exactly two others. The segments do not criss-cross, and there are no curves. 7. A basic figure that consists of an endpoint, and an infinitely long continuous arrangement of points extending in only one direction.
8. An undefined term thought of as a location in space with no size or dimension. It is the most basic building block of geometry. 9. A triangle with at least two congruent sides. 10. A basic shape or figure created by two rays with a common endpoint that do NOT point in the same direction 11. Identical in shape and in size (such as with angles, line segments, circles, or polygons) 12. Two lines that lie in the same plane and do not intersect. 13. A segment whose endpoints lie on a circle. 14. Literally: the same distance 15. A line that intersects two or more other coplanar lines. (When the intersected lines are parallel, special relationships exist for many of the pairs of angles created by the intersections.) 16. An angle that measures exactly 90. 17. Literally: on the same line. 18. The set of all points that are equidistant from a given point, called the center.
19. A quadrilateral with exactly two distinct pairs of congruent consecutive sides. 20. The two angles opposite the two congruent sides in an isosceles triangle. 21. A line segment from the center of a circle to a point on the circle. 22. Two points and all the points between them that are collinear with the two points; a portion of a line. 23. A quadrilateral with opposite sides that are parallel. 24. The point on a line segment that is the same distance from both endpoints; the point on a segment that bisects the segment. 25. Two points on a circle and the continuous part of the circle between them. 26. Literally: circles with the same center 27. A quadrilateral with 4 right angles. 28. A segment connecting the vertex of a triangle to the midpoint of the opposite side. 29. A triangle with three sides of different lengths.
30. An angle whose measure is greater than 90. 31. Two angles that share a vertex and a common side and their non-common sides form a line; these angles always have the special relationship of being supplementary 32. Two lines that do not intersect and do not lie in the same plane are said to be this. 33. For a polygon, it is the sum of the lengths of the sides of the polygon; the total distance around the figure. 34. A triangle with exactly one angle larger than 90. 35. A quadrilateral with exactly one pair of parallel sides. 36. A segment connecting a vertex of a figure (like a triangle) to the opposite side, such that it is perpendicular to the opposite side. 37. An angle created by extending a side of a polygon through a vertex of the polygon; this angle forms a linear pair with one of the interior angles of the polygon. 38. A line, ray, or segment that passes through the midpoint of a line segment in a plane. 39. A triangle whose sides are all congruent/the same length. 40. Circles that have radii of the same measure are this. 41. A chord that travels through the center of a circle; its length is equal to twice the length of a radius of the circle
42. A line segment connecting the midpoints of two sides of a triangle. 43. A triangle with exactly one angle whose measure is 90. 44. An undefined term thought of as a flat surface that extends infinitely along its edges. It has length and width, but no thickness, so it is two-dimensional. They are named either by 3 points, or by a scripted capital letter. 45. A line that divides a line segment into two congruent parts and intersects the segment to form 90 angles. 46. Two angles formed by a transversal intersecting two lines that lie in the same position relative to the two lines and the transversal. 47. An angle whose vertex is the center of a circle and whose sides pass through the endpoints of an arc. 48. A trapezoid whose legs are congruent. 49. A triangle whose angles all measure less than 90. 50. A line segment connecting two nonconsecutive vertices of a polygon. 51. A pair of angles formed by a transversal intersecting two lines that lie between the parallel lines and are on opposite sides of the transversal. 52. The shared endpoint of the two rays forming an angle. 52. Literally: in the same plane
53. The rays that form an angle make these parts of the angle. 54. The angle in an isosceles triangle that is formed by the congruent sides. 55. Property that states if A, B, and C are collinear and B is between A and C, then AB + BC = AC. 56. Segment that connects the midpoints of the non-parallel sides of a trapezoid. Its length is the average of the lengths of the bases. 57. Lines that intersect to form right angles. 58. An arc that measures exactly 180. 59. The point of intersection of a tangent line and a circle. 60. The smallest amount of rotation about the vertex from one ray to the other, measured in degrees. 61. This adjective describes a pair of angles whose measures add up to 90. 62. A pair of angles with a base of a trapezoid as a common side. 63. A line through a figure that acts as a line of reflection such that the figure s reflection coincides with the figure. 64. An arc that measures less than 180. This arc can be named with two points on a circle and the arc symbol.
65. An isometry (rigid transformation) in which every point and its image are on opposite sides and the same distance from a fixed line. 66. This adjective describes a pair of angles whose measures add up to 180. 67. To divide into two congruent parts; to cut in half. 68. A property that states if D is in the interior of CAB, then m CAD + m DAB = m CAB. 69. A pair of angles formed by a transversal intersecting two lines that lie outside the parallel lines and are on opposite sides of the transversal. 70. The angle of a polygon (such as a triangle) that forms a linear pair with a given exterior angle of a polygon. 71. A polygon with no diagonal that travels outside the polygon; all the vertices of the polygon point out. 72. A side of a polygon (such as a triangle) between two consecutive angles. 73. A generalization resulting from inductive reasoning; an educated guess made from formal observations. 74. An arc whose measure is larger than 180. 75. The point at either end of a segment or an arc, or the first point of a ray 76. A line segment connecting consecutive vertices of a polygon.
77. An angle whose measure is less than 90. 78. The result of moving all points in a figure according to a transformation. 79. A quadrilateral with 4 congruent sides and 4 right angles; a rectangular rhombus; an equilateral rectangle; and equiangular rhombus; a regular quadrilateral 80. A polygon with all congruent sides and all congruent angles. 81. An example that shows a conjecture to be incorrect or a definition to be inadequate. 82. A polygon with at least one diagonal outside the polygon; a polygon where at least one vertex points in. 83. A transformation where every point is moved the same number of points L/R and then U/D. 84. A transformation where every point is moved by the same angle measure in the same direction along a circular path about a fixed point, usually the origin. 85. Interior angles of a triangle that do not share a vertex with a given exterior angle. 86. An angle in a kite formed by two non-congruent sides. 87. An angle formed between two consecutive sides of a polygon.