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two angles that have the same vertex and a common ray but no interior points in common

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sides immediately next to each other

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when two lines are crossed by another, the pairs of angles on opposite sides of the transversal but outside the two lines

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when two lines are crossed by another line, the pairs of angles on opposite sides of the transversal but inside the two lines

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a line that splits an angle into two equal angles

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the angle between the horizontal and the line of sight to an object beneath the horizontal

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the angle between the horizontal and the line of sight to an object above the horizontal

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a segment that is drawn from the center of a regular polygon perpendicular to a side of the polygon

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a line that cuts an object in half so that the two halves are mirror images of each other

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an angle in a circle with its corner in circle's center

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the center of mass of a uniform object

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the circumcenter of a triangle is the point of intersection of all the three perpendicular bisectors of the triangle

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three or more points lie on the same straight line

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curved inwards

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a flat shape that only has length and height, but no depth

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a set of lines that all intersect at the same point.

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a solid shape; having length, width, and depth

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switching the hypothesis and conclusion of a conditional statement and negating both

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if two angles of one triangle are congruent to those of another, then the triangles are similar

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switching the hypothesis and conclusion of a conditional statement ("If… then…" statement)

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an angle that measures less than 90° (<90°) but is greater than 0° (>0°)

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the process of change from one form to another

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a figure formed by two rays with the same vertex

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to change from one form to another

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(asa) if two angles and the included side of a triangle are congruent to two angles and a side of another triangle, then the two triangles are congruent

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curved outwards

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length x width; measured in square units

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a standard grid, composed of lines of latitude and longitude, used to determine the absolute location of any object, place, or feature on the earth's surface

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area = pi x radius squared

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a set of points, lines, or any other geometrical shapes that lie on the same plane

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area = 1/2 (base x height)

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for a given angle in a right triangle, a trigonometric function equal to the length of the hypotenuse divided by that of the side opposite the angle

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a flat surface of a solid figure by which the figure is measured and/or classified

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an example which disproves a proposition

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to divide into two equal parts

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a method for solving a linear system of equations using determinants. Cramer’s rule may only be used when the system is square and the coefficient matrix is invertible

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a line that cuts another line segment into two equal parts

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a sharp point on a curve

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a straight line connecting two points on a curve or a curved shape

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a polygon with 10 sides

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having the shape of a perfect circle, or resembling a circle in shape

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a variable whose value depends on the values of one or more independent variables

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the distance around a circle

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a statement which connects two other statements using the word or

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a geometric figure that is drawn around another geometric figure to touch all its vertices

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equations that show how to find the sine, cosine, or tangent of twice a given angle

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two angles that add up to 90°

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a sphere‐like surface for which all cross‐sections are ellipses

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the process of converting a quadratic equation into a perfect square trinomial by adding or subtraction terms on both sides

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a triangle with three equal angles

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volume = (1/3 x pi) x radius squared x height

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the angle between any side of a shape, and a line extended from the next side

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having exactly the same shape and size

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displays the relationship between the inputs and outputs of a specific function

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angles that have the exact same measurement

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equations that show how to find the sine, cosine, or tangent of half a given angle

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sides that are exactly the same size

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a curve shaped like a spring

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triangles that are exactly the same size

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a polygon with 7 sides

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a group of curves obtained when a plane intersects a double cone

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relating to, involving, or typical of a hyperbola (a curve shaped like an arch)

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the process of building something

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the side opposite the right angle in a right‐angled triangle

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a pair of numbers used to determine the position of a point on a graph

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an equation that is true no matter what values are chosen

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the plane containing the "x" axis and the "y" axis

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A function in which the dependent variable is not isolated on one side of the equation

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the degree to which two variables are related

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a triangle with 2 equal sides and 2 equal angles

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when two lines are crossed by another line (the transversal line), the angles in matching corners are called corresponding angles

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the surface area of the lateral surfaces of a solid. lateral surface area does not include the area of the base(s)

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if the position of two sides is the same in two figures. they are called corresponding sides

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another name for reflection symmetry. one half is the reflection of the other half

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in a right triangle, the ratio of the length of the side adjacent to an acute angle to the length of the hypotenuse divided by that of the side opposite the angle

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a straight line measurement of 12 inches

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the plane figure obtained by the intersection of a solid by a plane

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a model of a straight line on the X and Y axis. it represents the equation y=mx+b

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a solid object with 2 identical flat ends that are circular and 1 curved side

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a pair of adjacent angles formed by intersecting lines

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a straight line going through the center of a circle connecting two points on the circumference

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the formula for finding the midpoint between points (x1,y1) and (x2,y2)

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a change in size of a figure without changing its angles

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intervals written as (x,y) where x is negative

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the formula for finding the distance between two points

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tilted at an angle; neither vertical nor horizontal

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a stretched out or smashed circle

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an angle that measures more than 90° but less than 180°

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various equations that represent a line. in all equations, the slope is represented by m, the x-intercept by a, and the y-intercept by b

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the order in which operations should be done

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equally distance

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the location of a single point on a rectangular coordinate system where the first and second values represent the position relative to the x‐axis and y‐axis, respectively

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a triangle with 3 equal sides and 3 equal angles

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the point at which the three (possibly extended) altitudes of a triangle intersect

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the main area of study in high school. this is the geometry of axioms, theorems, and two-column proofs. it includes the study of points, lines, triangles, quadrilaterals, other polygons, circles, spheres, prisms, pyramids, cones, cylinders, etc.

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a surface obtained by revolving a parabola around its axis

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a figure formed by any combination of points, lines, planes, curves, or surfaces in one, two, or three dimensions

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a set of basic functions used as building blocks for more complicated functions

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a sequence which has a constant ratio between terms

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the line perpendicular to a segment passing through the segment's midpoint