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The area of a region is the sum of the areas of its non overlapping parts

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perpendicular bisector: a line, segment, or ray that is perpendicular to the segment as its midpoint

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perpendicular bisector: a line, segment, or ray that is perpendicular to the segment as its midpoint

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perpendicular lines: 2 lines that intersect to form right angles (90 degrees)

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perpendicular lines: 2 lines that intersect to form right angles (90 degrees)

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construction: a geometric figure drawn using a straightedge and a compass

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construction: a geometric figure drawn using a straightedge and a compass

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compass: a geometric tool used to draw circles and parts of circles called arcs

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compass: a geometric tool used to draw circles and parts of circles called arcs

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straightedge: a ruler with no markings on it

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straightedge: a ruler with no markings on it

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angle bisector: a ray that divides an angles into 2 congruent angles; its endpoint is at the angle vertex and the same endpoint is also an angle bisector

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angle bisector: a ray that divides an angles into 2 congruent angles; its endpoint is at the angle vertex and the same endpoint is also an angle bisector

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If 2 angles form a linear pair, then they are supplementary and add up to 180 degrees

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linear pair: a pair of adjacent angles whose noncommon sides are opposite rays and form a straight angle (180)

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linear pair: a pair of adjacent angles whose noncommon sides are opposite rays and form a straight angle (180)

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supplementary angles: 2 angles whose measures have a sum of 180. Each angle is called the supplement of the other

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supplementary angles: 2 angles whose measures have a sum of 180. Each angle is called the supplement of the other

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complementary angles: 2 angles whose measures have a sum of 90. Each angle is called the complement of the other

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complementary angles: 2 angles whose measures have a sum of 90. Each angle is called the complement of the other

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vertical angles: 2 angles whose sides are opposite rays

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vertical angles: 2 angles whose sides are opposite rays

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adjacent angles: two coplanar angles with a common side, a common vertex, and no common interior points

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adjacent angles: two coplanar angles with a common side, a common vertex, and no common interior points

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If point B is in the interior of angle AOC, then the measure of AOB + the measure of BOC = the measure of AOC

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congruent angles: angles with the same measure

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congruent angles: angles with the same measure

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obtuse angle: an angle that is more than 90 degrees and less than 180 degrees

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obtuse angle: an angle that is more than 90 degrees and less than 180 degrees

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acute angle: an angle that is more than 0 degrees and less than 90 degrees

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acute angle: an angle that is more than 0 degrees and less than 90 degrees

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measure: the absolute value of the difference of the real numbers paired with the rays that come off the angles

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measure: the absolute value of the difference of the real numbers paired with the rays that come off the angles

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Every ray can be paired one to one with a real number from 0 to 180 (180 being a straight line)

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sides of an angle: the rays are the sides of the angle

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sides of an angle: the rays are the sides of the angle

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angle: formed by 2 rays with the same endpoint

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angle: formed by 2 rays with the same endpoint

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segment bisector: a point, line, ray, or other segment at its midpoint

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segment bisector: a point, line, ray, or other segment at its midpoint

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midpoint: a point that divides the segment into 2 congruent segments

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midpoint: a point that divides the segment into 2 congruent segments

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congruent segments: segments that have the same length

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congruent segments: segments that have the same length

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If 3 points A, B, and C are collinear and B is between A and C, then AB + BC = AC

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Every point on a line can be paired with a real number. The real number that corresponds to a point is called the coordinate of the point.

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Through any 3 nonlinear points, there is exactly 1 plane

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If 2 distinct planes intersect, then they intersect in exactly one line

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Through any 2 points there is exactly one line.

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distance: the absolute value of the difference of their coordinates

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distance: the absolute value of the difference of their coordinates

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coordinate: the real number that corresponds to a point

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coordinate: the real number that corresponds to a point

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intersection: the set of points the figures have in common

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intersection: the set of points the figures have in common

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postulate or axiom: an accepted statement of fact

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postulate or axiom: an accepted statement of fact

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opposite rays: two rays that share the same endpoint and form a line

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opposite rays: two rays that share the same endpoint and form a line

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ray: part of a line that consists of one endpoint and all the points of the line on one side of the endpoint.

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ray: part of a line that consists of one endpoint and all the points of the line on one side of the endpoint.

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segment: part of a line that consists of two endpoints and all points between them

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segment: part of a line that consists of two endpoints and all points between them

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space: the set of all points in three dimensions

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space: the set of all points in three dimensions

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collinear points: two points on the same plane.

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collinear points: two points on the same plane.

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plane: represented by a flat surface that extends without end, thickness, or limit to amount of points

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plane: represented by a flat surface that extends without end, thickness, or limit to amount of points

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line: a straight path that extends in two opposite directions without end, thickness, or limit to amount of points

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line: a straight path that extends in two opposite directions without end, thickness, or limit to amount of points

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point: indicates a location and has no size

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point: indicates a location and has no size