Geom Ch. 1 - Introducing Geometry

49 terms by awise67 

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Acute Angle

Angle measuring less than 90 degrees

Obtuse Angle

Angle measuring more than 90 degrees

Right Angle

Angle measuring exactly 90 degrees

parallelogram

a quadrilateral with opposite sides parallell

Trapezoid

a quadrilateral with exactly one pair of parallel sides

collinear

lying on the same line

coplanar

lying on the same plane

point, line, plane

Building blocks of Geometry, undefined terms

line segment

two points (the endpoints) all the points between them that are on the line containg them.

congruent segment

segments that have the same measure

midpoint

a point ON a line segment that is equally distant from both endpoints.

ray

all points on a line that lie on one side of a point (the ray's endpoint).

congruent angles

angles that have the same measure

angle

formed by two rays that share an endpoint so long as they do not overlap

angle bisector

a ray that shares the vertex of the angle and divides the angle into two congruent angles.

degrees

the unit in which angles are measured

Vertical Angles

formed by intersecting lines and do not share a common/adjacent side.

Linear Pair of Angles

a pair of angles that share a side and their non-shared side form a straight line (they are supplementary)

supplementary angles

two angles whose sum is 180 degrees

complimentary angles

two angles whose sum is 90 degrees

polygon

closed figure in a plane, formed by connecting line segmenst endpoint to endpoint with each segment intersecting exactly two others.

diagonal

a line segment that connects two NON-consecutive vertices

congruent polygons

polygons that have exactly the same size and shape.

equilateral polygon

polygon that has all equal sides

equiangular polygon

polygon that has all equal angles

regular polygon

polygon that has all equal angles AND sides

right triangle

a triangle with exactly one right angle

actue triangle

a triangle with all angles less than 90 degrees

obtuse triangle

a triangle with exactly one obtuse angle

scalene triangle

a triangle with no equal sides

equilateral triangle

a triangle with all equal sides

isosceles triangle

a triangle with two OR MORE equal sides

rhombus

a parallelogram with equal sides

square

a parallelogram with equal angles and sides. (a regular quadrilateral)

kite

a quadrilateral that has two pair of distinct, consecutive congruent sides

circle

set of all points in a PLANE that are a give distance from a given point

diameter (of a circle)

a line segment containing the center of a circle, with endpoints that lie on the circle

radius

a segment from the center of a circle to a point on the circle.

concentric circles

circles that share a center

congruent circles

circles that have the same radius

semicircle

an arc of a circle whose endpoints are on the diameter

minor arc

an arc that is smaller than a semicircle (name with 2 letters)

major arc

an arc that is larger than a semicircle (name with 3 letters)

central angle

an angle whose vertex is at the center of a circle

chord

a segment with both of its endpoints on the circle

tangent

a line that intersects a circle exactly once

Point of tangency

point where a tangent line intersects a circle

measure of an arc

equivalent to the measure of it's central angle

space

set of all points

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