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211 Terms

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acute angle(ch 1)

an angle that measures more than 0 degrees, but less than 90 degrees

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adjacent angles(ch 1)

two angles that share a common vertex and side, but have no common interior points

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angle(ch 1)

A set of points consisting of two different rays that have the same endpoint

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angle bisector(ch 1)

a ray that divides an angle into two angles that are congruent

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axiom(ch 1)

a rule that is accepted without proof

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between(ch 1)

When three points are collinear, one point is between the other two.

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collinear points(ch 1)

points that lie on the same line

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complementary angles(ch 1)

Two angles whose sum is 90 degrees

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congruent angles(ch 1)

two angles that have the same measure

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congruent segments(ch 1)

segments that have the same length

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construction(ch 1)

A geometric drawing that uses a limited set of tools, usually a compass and straightedge.

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coordinate(ch 1)

the real number that corresponds to a point on a line

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coplanar points(ch 1)

points that lie on the same plane

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defined terms(ch 1)

terms that can be described using known words such as point or line

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distance(ch 1)

the absolute value of the difference of the coordinates on a line

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endpoints(ch 1)

Points that represent the ends of a line segment or ray

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exterior of an angle(ch 1)

the region that contains all the points outside of an angle

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interior of an angle(ch 1)

the region that contains all the points between the sides of an angle

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intersection(ch 1)

the set of points that two or more geometric figures have in common

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line(ch 1)

A line has one dimension. It is represented by a line with two arrowheads, but it extends without end.

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line segment(ch 1)

consists of two endpoints and all the points between them

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linear pair(ch 1)

two adjacent angles whose noncommon sides are opposite rays

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measure of an angle(ch 1)

the absolute value of the difference between the real numbers matched with the two rays that form the angle on a protractor

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midpoint(ch 1)

the point that divides a segment into two congruent segments

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obtuse angle(ch 1)

An angle that measures more than 90 degrees but less than 180 degrees

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opposite rays(ch 1)

If point C lies on AB between A and B, then CA and CB are opposite rays.

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plane(ch 1)

A flat surface made up of points that has two dimensions and extends without end, and is represented by a shape that looks like a floor or a wall

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point(ch 1)

A location in space that is represented by a dot and has no dimension

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postulate(ch 1)

a rule that is accepted as true without proof

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ray(ch 1)

AB is a ray if it consists of the endpoint A and all points on AB that lie on the same side of A as B

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right angle(ch 1)

an angle that measures 90 degrees

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segment(ch 1)

consists of two endpoints and all the points between them

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segment bisector(ch 1)

a point, ray, line, line segment, or plane that intersects the segment at its midpoint

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sides of an angle(ch 1)

the rays of an angle

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straight angle(ch 1)

an angle that measures 180 degrees

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supplementary angles(ch 1)

two angles whose measures have a sum of 180 degrees

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undefined terms(ch 1)

Words that do not have formal definitions, but there is agreement about what they mean

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vertex of an angle(ch 1)

The common endpoint of the two rays that form an angle

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vertical angles(ch 1)

two angles whose sides form two pairs of opposite rays

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biconditional statement(ch 2)

A statement that contains the phrase "if and only if"

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conclusion(ch 2)

The "then" part of a conditional statement written in if-then form

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conditional statement(ch 2)

a logical statement that has a hypothesis and a conclusion

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conjecture(ch 2)

unproven statement that is based on observations

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Contrapositive(ch 2)

the statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement

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converse(ch 2)

the statement formed by exchanging the hypothesis and conclusion of a conditional statement

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Counterexample(ch 2)

a specific case for which the conjecture is false

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deductive reasoning(ch 2)

A process that uses facts, definitions, accepted properties, and the laws of logic to form a logical argument

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equivalent statements(ch 2)

Two related conditional statements that are both true or both false

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flowchart proof (flow proof)(ch 2)

A type of proof that uses boxes and arrows to show the flow of a logical argument

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hypothesis(ch 2)

the "if" part of a conditional statement

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if-then form(ch 2)

A conditional statement in the form "if p, then q", where the "if" part contains the hypothesis and the "then" part contains the conclusion

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inductive reasoning(ch 2)

A process that includes looking for patterns and making conjectures.

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inverse(ch 2)

the statement formed by negating both the hypothesis and conclusion of a conditional statement

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line perpendicular to a plane(ch 2)

a line that intersects the plane in a point and is perpendicular to every line in the plane that intersects it

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negation(ch 2)

The opposite of a statement

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paragraph proof(ch 2)

A style of proof that presents the statements and reasons as sentences in a paragraph, using words to explain the logical flow of an argument

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proof(ch 2)

A logical argument that shows a statement is true.

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theorem(ch 2)

a statement that can be proven

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truth table(ch 2)

A table that shows the truth values for a hypothesis, conclusion, and a conditional statement

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truth value(ch 2)

A value that represents whether a statement is true (T) or false (F)

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two-column proof(ch 2)

a type of proof that has numbered statements and corresponding reasons that show an argument in a logical order

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alternate exterior angles(ch 3)

two angles that are formed by two lines and a transversal and lie outside the two lines and on opposite sides of the transversal

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alternate interior angles(ch 3)

two angles that are formed by two lines and a transversal and lie between the two lines and on opposite sides of the transversal

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consecutive interior angles(ch 3)

Two angles that are formed by two lines and a transversal that lie between the two lines and on the same side of the transversal

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corresponding angles(ch 3)

two angles that are formed by two lines and a transversal that are in corresponding positions

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directed line segment(ch 3)

a segment that represents moving from point A to point B is called the directed line segment AB

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distance from a point to a line(ch 3)

the length of the perpendicular segment from the point to the line

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parallel lines(ch 3)

coplanar lines that do not intersect

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parallel planes(ch 3)

planes that do not intersect

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perpendicular bisector(ch 3)

A line that is perpendicular to a segment at its midpoint.

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skew lines(ch 3)

Lines that do not intersect and are not coplanar

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transversal(ch 3)

a line that intersects two or more coplanar lines at different points

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angle of rotation(ch 4)

the angle that is formed by rays drawn from the center of rotation to a point and its image

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center of dilation(ch 4)

The fixed point in a dilation

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center of rotation(ch 4)

the fixed point in a rotation

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center of symmetry(ch 4)

the center of rotation in a figure that has rotational symmetry

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component form(ch 4)

A form of a vector that combines the horizontal and vertical components

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composition of transformations(ch 4)

a combination of two or more transformations to form a single transformation

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congruence transformation(ch 4)

a transformation that preserves length and angle measure

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congruent figures(ch 4)

geometric figures that have the same size and shape

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dilation(ch 4)

A transformation in which a figure is enlarged or reduced with respect to a fixed point

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enlargement(ch 4)

a dilation with a scale factor greater than 1

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glide reflection(ch 4)

a transformation involving a translation followed by a reflection

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horizontal component(ch 4)

The horizontal change from the starting point of a vector to the ending point

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