Classify and Measure Angles

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polygon

a closed figure made up of line segments

circle

a figure with all of its points the same distance from the center

radius

a line segment from the center of a circle to any point on the circle

chord

a line segment that connects two points on a circle

diameter

a line segment that goes through the center of a circle to connect two points on the circle

side of a polygon

a line segment that is part of a polygon

secant

a line that goes through the circle at two distinct points on the circumference of a circle; the distance between the two points is considered a chord

tangent

a line that touches the exterior part of the circumference of a circle at exactly one point

regular polygon

a polygon whose sides are all the same length and all of its angles are the same measure

decagon

a polygon with 10 sides

triangle

a polygon with 3 sides

quadrilateral

a polygon with 4 sides

pentagon

a polygon with 5 sides

hexagon

a polygon with 6 sides

heptagon

a polygon with 7 sides

octagon

a polygon with 8 sides

nonagon

a polygon with 9 sides

concave

a shape with an indentation

convex

a shaped with no indentation

inscribed angle

an angle in a circle with a vertex on the circle and sides that are chords of the circle

central angle

an angle that has the center of a circle as its vertex

straight angle

an angle that measures exactly 180°

right angle

an angle that measures exactly 90°

acute angle

an angle that measures more than 0° but less than 90°

obtuse angle

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

major arc

an arc with a measure greater than 180 degrees

minor arc

an arc with a measure less than 180 degrees

semi-circle

an arc with a measure of 180 degrees

diagonal

an interior line that connects two vertices that are not already connected

vertical angles

angles that are opposite from one another at the intersection of two lines; vertical angles are congruent

interior angles

inside angles

perpendicular lines

lines that intersect and create right angles

transversals

lines that intersect two or more lines to create angles

parallel lines

lines that never cross one another and are the same distance apart at all times

intersecting lines

lines that share one point

exterior angles

outside angles

arc

part of the circumference of a circle between two points

circumference of a circle

the length around the exterior of a circle; measured in degrees in terms of an arc

intercepted arc

the part of the circumference of a circle that is bound by two endpoints of a chord, radius, secant line or tangent line

vertex

the point where two line segments, lines, or rays meet to form an angle

corresponding angles

two angles in the same position on different lines

adjacent angles

two angles that have a common vertex and side but are not overlapping

supplementary angles

two angles whose sum is 180°

complementary angles

two angles whose sum is 90°

alternate interior angles

two inside angles that lie on different sides of a transversal

alternate exterior angles

two outside angles that lie on different sides of a transversal


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