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