##### Geometry
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#### Complete list of Terms and Definitions for Geometry

Terms Definitions
XY6 Octahedron
P Pythagorean triple
Area of Polygon 1/2Pa
Another name for injective one-to-one
rhombus an oblique-angled equilateral parallelogram; any equilateral parallelogram except a square.
Area of a Rhombus A=1/2d1d2 (diagonals)
conclusion a reasoned deduction or inference.
What kind of mapping is this? Bijection
implication something implied or suggested as naturally to be inferred or understood:
square 4 equal side, 4 right angles
irregular polygon polygon with sides of different lengths or angles of different measures
flip (reflection) a figure gives its mirror image
sphere three dimensional solid shape that is perfectly round like a ball
centroid point at which the three medians intersect in a triangle
Right Angle An angle whose measure is 90 degrees.
Surface Area of a Rectangular Prism SA=ph + 2B
used for finding the coordinates of the midpoint of a segment in a coordinate plane midpoint formula
acute triangle angle that measures less than 90 degrees
complementary angles Two angles that added together produce an angle of 90 degrees
Theorem 10.11 A quadrilateral can be inscribed in a circle if an donly if its opposite angles are supplementary
What are the undefined figures in geometry? point, line, plane
angle bisector: a ray that divides into 2 congruent angles
central angle in a plane, an angle whose vertex is the center of a circle
simple closed figure a figure that does not cross over itself.
leg of an isosceles triangle the congruent sides of an isosceles triangle other than the base
consecutive interior angles theorem if parallel lines are cut by a transversal the consecutive interior angles are supplementary(CIA theorem)
Measure of angle formed by a tangent and a secant that intercept on the point of tangency One-half the measure of its intercepted arc
XY2E1 Bent
trig trigonometric ratio
........../\......1/<----------------->../<----------------->/.2.\/..... alternate exterior angles
mag magnitude of a vector
supplementary angle sum is 180&deg;
circumference The distance around a circle
equilateral having all the sides equal:
The diagonals of a rectangle... are congruent
parallel extending in the same direction, equidistant at all points, and never converging or diverging:
reminisce to recall past experiences, events, etc
point an exact location in space; the center of a circle is a point
parallelogram a quadrilateral with both pairs of opposite sides parallel and equal in length
line series of points located on one straight path
Triangle If A,B and C are 3 non-collinear points, then the union of segment AB, segment BC and segment AC forms a triangle.
Incenter Theorem The incenter of a triangle is equidistant from each side of the triangle.
the point that divides a segment into two equal parts midpoint
quadrilateral a plane figure having four sides and four angles.
coincidence a striking occurrence of two or more events at one time apparently by mere chance
secant a secant is a like that intersects a circle in two points
interesecting lines lines that cross each other at some point
addition property of equality if a=b &amp; c=d then a+c=b+d
interior of a circle consists of all points+ within the circle
Multiply the length and the width A=LxW Area of Rectangles
ratio of a to b two quantities measured in the same units; a:b, a/b
alternate exterior angles theorem if parallel lines are cut by a transversal the alternate exterior angles are congruent(AEA theorem)
Theorem 5.5 If a + b = c, then you have a right triangle.
square planar XY4E2
pentagon 9 sided polygon
Volume of a Prism V=Bh
area of a parallelogram a=bh
right triangle it is 90 degrees
plane a flat or level surface.
Line a. Infinite number of points extending in a continuous straight lineb. A line is determined by 2 points c. Line has 1 dimension – lengthd. Can’t measure a line
What shape has 5 sides? A pentagon
point geometric figure formed at the intersection of two distinct lines
Concurrency Point of intersection three or more lines have a point in common.
triangle a closed plane figure having three sides and three angles.
verticle angles they are congruent,share only one vertex, and they are directly across from each other
right prism all lateral edges are perpendicular to the bases
Logically Equivalent Statements that have the same truth values
a convex trapezium with two pairs of congruent side kite
parallel lines lines that are the same distance apart
concurrent lines or curves that intersect at a single point
Congruent Angles Two (or more) angles are congruent if they have the same measure
perpendicular bisector a line, segment, or ray that passes through the midpoint of the side and is perpendicular to that side
2 rays that share the same endpont (or initial point) angle
CA converse when 2 lines are cut by a transversal for the corresponding angles to be congruent hen the lines are parallel.
Define injection For every y in the codomain Y, there is at most one x in the domain X with f(x) = y.
therom 5-4 if both pairs of oppisite sides of a quadralateral are cong. then the quadrilateral is a parellelogram
postulate 2-1THE NUMBER LINE POSTULATE each real number corresponds to one and only one point on the number line. Each point on the number line corresponds to 1 real number!
the longer diagonal ofa kite is the perpendicular the bisector of the shorter diagonal
If a point on the interior of an angle is equidistant from the sides of that angle it lies on the bisector of that angle