1. Sasha Vasserman

2.  Two triangles are similar if two pairs of corresponding angles are congruent

3.  Two triangles are congruent if two pairs of corresponding angles are congruent and a non-included pair of corresponding sides are congruent

4.  The x-coordinate of a point in the coordinate plane

5.  For a number x, denoted by |x |, its distance from 0 on the number line. Thus, |x| always represents a nonnegative number

6.  An angle whose degree measure is 90

7.  A triangle with three acute angles

8.  Two angles that have the same vertex and share one side, but do not have any inferior points in common

9.  Pairs of angles formed when a transversal intersects two lines. The two angles ion each pair are between the two lines, have different vertices, and lie on opposite sides of the transversal

10.  A segment that is perpendicular to the side of the figure to which it is drawn

11.  The union of two rays that have the same end point

12.  A line or any part of a line that contains the vertex of an angle and that divides the angle into two congruent angles. An angle has exactly one angle bisector

13.  An angle formed by a horizontal ray of sight and the ray that is the line of sight to an object below the horizontal ray

14.  An angle formed by a horizontal ray of sight and the ray that is the line of sight to an object above the horizontal ray

15.  For a regular polygon, the radius of its inscribed circle

16.  The minor arc of a circle whose end points are the end points of a chord. If the chord is a diameter, then either semicircle is an arc of the diameter

17.  For a plane geometric figure, the number of square units it contains

18.  Two triangles are congruent if two pairs of corresponding angles are congruent and the sides included by these angles are congruent

19.  The congruent angles that lie opposite the congruent sides of an isosceles triangle

20.  The non-congruent side of the isosceles triangle

21.  The parallel sides of a trapezoid

22.  A term that refers to the order of three collinear points. If A, B, and C are three different collinear points, point C us between points A and b if AC + CB = AB

23.  To divide into two equal parts

24.  The common center of the circles inscribed and circumscribed in the polygon

25.  An angle whose vertex is at the center of a circle, and whose sides are radii

26.  An angle whose vertex is the center if the regular polygon and whose sides terminate at consecutive vertices of the polygon

27.  The point at which three medians of the triangle intersect

28.  A segment whose end points are on the circle

29.  The set of all points in a plane at a fixed distance from a given point called the center. The fixed distance is called the radius of the circle. An equation of a circle with center at point (h, k) and radius length r is (x - h²) + (y- k)² = r²

30.  The distance around a circle

31.  A circle that passes through each vertex of the polygon

32.  A polygon that has all of its sides tangent to the circle

33.  Points that lie on the same line

34.  A line that is tangent to both circles, and does not intersect the line segment whose end points are the centers of the two circles

35.  A line that is tangent to both circles, and intersects the line segment whose end points are the centers of the two circles

36.  Two angles whose measures add up to 90°

37.  A sequence of two or more transformations in which each transformation after the first is preformed on the image of the transformation that was applied before it

38.  Circles in the same plane that have the same center but have radii of different lengths

39.  Angles that have the same measure

40.  Circles with congruent radii

41.  Line segments that have the same length

42.  Polygons with the same number of sides that have the same size and same shape. The symbol for congruence is ≅

43.  Triangles whose vertices can be paired so that any one on the following conditions is true: (1) the sides of one triangle are congruent to the corresponding sides of the other triangle (SSS ≅ SSS); (2) two sides and the included angle of one triangle are congruent to the corresponding parts of the other triangle (SAS ≅ SAS); (3) two angles and the included side of one triangle are congruent to the corresponding parts of the other triangle (ASA ≅ ASA); (4) two angles and the side opposite one of these angles of one triangle are congruent to the corresponding parts of the other triangle ( AAS ≅ AAS). Two right triangles are congruent if the hypotenuse and a leg of one right triangle are congruent to the corresponding parts the other triangle (Hy – Leg ≅ Hy – leg)

44.  Another conditional statement formed by interchanging the hypothesis (“Given”) with the conclusion (“To Prove”) of the original statement

45.  A polygon each of whose interior angles measures less than 180°

46.  A plane that is divided into four equal regions, called quadrants, by a horizontal number line and a vertical number line, called axes, intersecting at their zero points, called the origin. Each point in a coordinate plane is located by an ordered pair of numbers of the form (x, y). The first member, x, of the ordered pair gives the directed distance of the zero point of the x-axis (horizontal). The second member, y, of the ordered pair gives the directed distance of the point from the zero point of the y-axis

47.  A theorem that can easily be proved by means of a closely related theorem

48.  Pairs of angles formed when a transversal intersects two lines. The two angles in each pair lie on the same side of the transversal, but one angle is between the two lines, and the other is exterior to the two lines

49.  The ratio of the length of the leg that is adjacent to the acute angle to the length of the hypothenuse

50.  A polygon with 10 sides

51.  A step-by-step process by which a set of accepted facts is used to arrive at a conclusion

52.  A unit of angle measure. One degree is the measure of an angle formed by 1/360 of one complete rotation of a ray about its end point

53.  A line segment whose end points are nonconsecutive vertices of the polygon

54.  A chord of the circle that contains the center of the circle

55.  A size transformation that produces an image similar to the original figure

56.  An isometry that pressserves orientation

57.  A formula used to find the length of the segment determined by two points in the coordinate plane. The distance d between two points, A and B, is given by the formula d = the square root of ((X of point B – X of point A)squared + (Y of point B – Y of point A) squared)

58.  The length of the perpendicular segment from the point to the line

59.  A polygon with 12 sides

60.  A polygon in which all the angles have the same measure

61.  A triangle in which all three angles have the same measure

62.  Having the same distance

63.  A polygon in which all the sides have the same length

64.  A triangle whose three sides have the same length

65.  An angle formed by a side of the polygon and the extension of an adjacent side of the polygon

66.  Tangent circles that lie on opposite sides of the common tangent

67.  The first and fourth terms in a proportion. In the proportion a over b = c over d, a and d are the extremes

68.  The composition of a reflection in a line and a translation in the direction parallel to the reflecting line

69.  The set of points in a plane that lie on one side of a line

70.  A polygon with six sides

71.  The side of a right triangle that is opposite to the right angle

72.  The point at which three bisectors of the triangle intersect

73.  A method of proof in which each possibility except the one that needs to be proved is eliminated by showing that it contradicts some known or given fact

74.  An angle whose vertex lies on the circle and whose sides are chords of the circle

75.  A circle that is tangent to each side of the polygon

76.  A polygon that has all of its vertices on a circle

77.  Tangent circles that lie on one side of the common tangent

78.  A transformation that produces an image congruent to the original figure

79.  A trapezoid whose nonparallel sides called legs, have the same length

80.  A triangle with two sides, called legs that have the same length

81.  Either of the two sides of the right triangle that are not opposite the right angle

82.  A term undefined in geometry; a line can be described as a continuous set of points forming a straight path that extends indefinitely in two opposite directions

83.  The line segment whose end points are the centers of the circles

84.  Part of a line that consists of two different points on a line called end points, and the set of all points on the line that ate between them. AB refers to the distance of a line segment with end points A and B, whereas AB with a line of it refers to the segment itself

85.  When a line can be drawn that divides the figure into two parts that coincide when folded along the line

86. The set of all points, and only those points, that satisfy a given condition

87.  An arc of a circle whose degree measure is greater than 180°

88.  The two middle terms of a proportion. In the proportion a over b = c over d, then either b or c are called the mean proportional between a and d

89.  A line segment whose end points are the midpoints of the legs of the trapezoid

90.  A line segment whose end points are a vertex of the triangle and the midpoint of the side opposite that vertex

91.  A formula used to find the coordinates of the midpoint of a line segment in the coordinate plane. The midpoint of a line segment whose points are A(x, y) and B(X, Y) is ( (x + X over 2) + ( y + Y) over 2))

92.  The point on a line segment that divides the segment into two segments that have the same length

93.  An arc of a circle whose degree measure is less than 180°

94.  An angle whose degree measure is greater than 90° and less than 180°

95.  A triangle that contains an obtuse angle

96.  A polygon with eight sides

97.  An isometry that reverses orientation

98.  Two rays that have the same end point and form a line

99.  The y-coordinate of a point in the coordinate plane

100.  The zero point on a number line

101.  The point at which the three altitudes of the triangle intersect

102.  Lines in the same plane that do not intersect

103.  A quadrilateral that has two pairs of parallel sides

104.  A polygon with five sides

105.  The sum of the lengths of the sides of the polygon

106.  A line, ray, or line segment that is perpendicular to the segment at its midpoint

107.  Two lines that intersect at 90° angles

108.  A term undefined in geometry; a plane can be described as a flat surface that extends indefinitely in all directions

109.  A term undefined in geometry; a point can be described as a dot with no size that indicates location

110.  A figure with 180° rotational symmetry

111.  A closed figure in a plane whose sides are line segments that intersect at their end points

112.  A statement whose truth is accepted without proof

113.  An equation that states that two ratios are equal. In a proportion, the product of the means equals the product of the extremes

114.  In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse

115.  One of the four equal rectangular regions into which the coordinate plane is divided

116.  A polygon with four sides

117.  A line segment whose end points are the center of the circle and any point on a circle

118.  The radius of its circumscribed circle

119.  A comparison of two numbers by division. The ratio of a to b can be represented by the fraction a over b, provided that b is not equal to zero

120.  The constant ratio of the lengths of any two corresponding sides

121.  The part of a line that consists of a fixed point, called an end point, and the set of all points on one side of the end point

122.  The number that, when multiplied by the original number, gives 1. For example, the reciprocal over 1 over 5 is 5 over 1, AKA, 5. 5 over 1 times 1 over 5 equals 1

123.  A parallelogram with four right angles

124.  An isometry that “flips” a figure over a line while reversing orientation

125.  A parallelogram with four sides that have the same length

126.  An angle whose degree measure is 90°

127.  A triangle that contains a right angle

128.  An isometry that “turns” a figure a specified number of degrees in a given direction (clockwise or counterclockwise) about some fixed point called the center of rotation

129.  A figure has rotational symmetry if it coincides with its image for some rotation of 180° or less

130.  Two triangles are congruent if two pairs of corresponding sides are congruent and the angles formed by these sides are congruent

131.  A triangle in which no two sides have the same length

132.  A line that intersects the circle in two different points

133.  An arc whose end points are a diameter of the circle

134.  Figures that have the same shape but may have different sizes. Two polygons with the same number of sides are similar if corresponding angles are congruent and the lengths of corresponding sides are in proportion

135.  The ratio of the length of the leg that is opposite the acute angle to the length of the hypotenuse

136.  A numerical measure of the steepness of a non-vertical line. The slope of a line is the difference of the coordinates of any two different points on the line divided by the difference of the corresponding x-coordinates of the two points. The slope of a horizontal line is 0, and the slope of a vertical line is undefined

137.  A formula used to calculate the slope of a non-vertical line when the coordinates of two points on the line are given. The slope, m, of a non-vertical line that contains points x and y and X and Y is given by the formula m = Y – y over X - x

138.  An equation that has the form y = m * x + b, where m is the slope of the line, b is the y-coordinate of the point at which the line crosses the y-axis

139.  A rectangle all of whose sides have the same length

140.  Two triangles are congruent if three pairs of corresponding sides are congruent

141.  Two angles whose measures add up to 180°

142.  Circles in the same plane that are tangent to the same line at the same point

143.  The ratio of the length of the leg that is opposite a given acute angle to the length of the leg that is adjacent to the same angle

144.  A line that intersects the circle in exactly one point, called the point of tangency

145.  A generalization that can be proved

146.  A mapping of the elements of two sets where the elements are points such that each point of the object is mapped onto exactly one point called its image and each image point corresponds to exactly one point of the original object called the preimage

147.  An isometry that “slides” all points of a figure the same distance in the same direction

148.  A line that intersects two lines at different points

149.  A quadrilateral with exactly one pair of parallel lines

150.  A polygon with three sides

151.  A term that can be described but is so basic that it cannot be defined. The terms point, line, and plane are undefined in geometry

152.  The point at which two sides of the polygon intersect

153.  The angle formed by the congruent sides of the isosceles triangle

154.  Pairs of non-adjacent ( opposite ) angles formed by two intersecting lines

155.  The capacity of a solid figure as measured by the number of cubic units it contains

156.  The horizontal number line in the coordinate plane

157.  The first number in the ordered pair that represents the coordinates of a point in the coordinate plane. The x-coordinate gives the directed horizontal distance of the point from the origin

158.  The vertical number line in the coordinate plane

159.  The second number in the ordered pair that represents the coordinates of a point in the coordinate plane. The y-coordinate gives the directed vertical distance of the point from the origin

160.  The y-coordinate of the point at which a non-vertical line crosses the y-axis