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Arlene's Geometry

Arlene A's Class - Terms from Geometry in our Math block

point has no length, width or thickness
line has length but no width or thickness
plane has length and width but no thickness
straight line segment the part of a straight line between two of its points
midpoint if a line is divided into two equal parts, this is the point of division
congruent segments two segments having the same length are said to be this
circle the set of all points in a plane that are the same distance from a point
circumference distance around a circle
radius a segment that joins the center of a circle to a point on the circle
central angle an angle formed by two radii
chord a segment joing any two points on a circle
diameter a chord through the center of a circle
arc a continuous part of the circle
semicircle an arc measuring one half the circumference of a circle
congruent circles circles having congruent radii are said to be this
angle the figure formed by two rays with a common end point
acute angle an angle whose measure is less than 90 degrees is said to be an
right angle an angle that measures 90 degrees is said to be a
obtuse angle an angle that measures more than 90 degrees and less than 180 degrees is said to be an
straight angle an angle that measures 180 degrees is said to be a
reflex angle an angle whos measure is more thatn 180 degrees and less than 360 degrees is said to be a
congruent angles two angles that have the same number of degrees are said to be
angle bisector a line that divides an angle into two equal parts
perpendicular lines, rays or segments that meet at right angles are said to be
perpendicular bisector a segment that is bisects and is perpendicular to another segment
polygon a closed plane figure bounded by straight line segments at the sides
pentagon a polygon with 5 sides
triangle a polygon having three sides
vertex the point at which two of sides of a polygon meet
scalene a triangle that has no congruent sides
isosceles a triangle that has at last two congruent sides
legs the equal sides of an isosceles triangle
base angles the angles on either side of the base of an isosceles triangle
base the side of an isosceles triangle that are not the legs
equilateral a triangle that has three congruent sides
right triangle a triangle that has a right angle
obtuse triangle a triangle that has an obtuse angle
acute triangle a triangle that has three acute angles
angle bisector of a triangle's angle a segment or ray that bisects the angle of triangle and extends to the opposite side
median of a triangle a segment from a vertex to the midpoint of the opposite side
perpendicular bisector of a triangle's side a line that bisects and is perpendicular to a side of a triangle
altitude of a triangle a segment from the vertex of a triangle to the opposite side
outside the triangle in an obtuse triangle, an altitude drawn on either side of an obtuse angle falls here
adjacent angles two angles which have the same vertex and a common side
vertical angles two nonadjacent angles formed by two intersecting lines
complementary angles two angles whose measures add to 90 degrees
supplementary angles two angles whose measures add to 180 degrees
transitive postulate things equal to the same things are equal to each other
subtitution postulate a quantity may be substituted for its equal in any expression or equation
partition postulate the whole equals the sum of its parts
reflexive or identity postulate any quantity equals itself
addition postulate if equals are added to equals, the sums are equal
subtraction postulate if equals are subtracted from equals, the differences are equal
multiplication postulate if equals are multiplied by equals, the products are equal
division postulate if equals are divided by equals, the quotients are equal
powers postulate like powers of equals are equal
postulate 10 like roots of equals are equal
one the number of straight lines that can be drawn through any two points
theorem a statement, which proved, can be used to prove other statements
CPCTC congruent parts of congruent triangles are congruent
SAS a way of proving two triangles are congruent when they have two sides and the included angle congruent to each other
orthocenter the intersection point of a triangles altitudes
incenter the angle bisectors of a triangle meet at this point
circumcenter the perpendicular bisectors of the triangle meet at this point
centroid the intersection point of the three medians in a triangle
Created by: cathyhk