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geometry and algebra

question for geometry and algebra

TermDefinition
Inductive reasoning a reasoning based on patterns you observe
Conjecture a conclusion you reach using inductive reasoning
Counter example proving that a conjecture is false by giving an example that is not correct
Isometric Drawing A drawing of an object from the corner
Orthographic Drawing A drawing of an object from the top, front, and right side view
Foundation A drawing of the base of a structure and the height of each part
NET A 2 dimensional pattern that when folded makes a 3 dimensional object.
Collinear Points Points that are located on the same line
Space The set of all points
Plane A flat surface with no thickness It contains many lines and points It can be named by one or two points on the line
Coplanar Points and lines in the same plane
Line A series of points that extend in two opposite directions and can be named by and two points on the line
Postulate or Axion An accepted statement of fact
There is only one ________ passing through two points. line
The intersection of two lines is a ________ point
The intersection of two planes is a ________ line
through any three ________ points there is a plane non-collinear
Segment A part of a line with two endpoints
Ray A part of a line with one endpoint
Opposite Rays Two rays with the same endpoint
Parallel lines Coplanar lines that do not intersect
Skew lines Non coplanar lines that are not parallel and do not intersect
Parallel Planes Planes that do not intersect
Transversal The line that passes through parallel lines
Corresponding Angles They are equal- same side of the transversal - same side of the lines
Same Side Interior Angles They are supplementary - on the same side of the transversal - between the lines
Same Side Exterior Angles They are supplementary - on the same side of the transversal - out of the lines
Alternate Interior Angles They are equal - different sides of the transversal - between the lines
Alternate Exterior Angles They are equal - different sides of the transversal - out of the lines
Triangle Sum Theorem In a triangle with the points A B C we draw a parallel line to BC and based on the parallel line properties A1 = C , A3 = B so A + B + C = 180
Midpoint Formula ( [x1 + x2] ÷ 2) , ( [y1 + y2] ÷ 2)
Endpoint Formula for example: 4 = ([x1 + 4] ÷ 2) , 6 = ([y1 + 5] ÷ 2 )
Perimeter of a Square 4 x side
Area of a Square side²
Perimeter of a Rectangle 2Length + 2Width
Area of a Rectangle Length x Width
Circumference of a Circle 2πr
Area of a Circle πr²
If two figures are ________ , their areas are equal Congruent
The area of a region is the sum of the area of its ________ parts Non - overlapping
Perpendicular Lines When two lines make a 90 degree angle
Perpendicular Bisector When two lines make a 90 degree angle and one of them divides the other in 2 equal segments
The distance between any two points is the ________ of their ________ Absolute Value - Difference
Congruent Segments Segments with the same length
If three points are Collinear (ABC) and B between AC ________(Formula) AB + BC = AC
Midpoint The point that divides the segment into two congruent segments
Angle We show it with the symbol (∠) and is formed by two rays with the same endpoint
Acute Angle 0° < x < 90°
Right Angle 90°
Obtuse Angle 90° < x < 180°
Straight Angle 180°
Reflex Angle 180° < x < 270°
Revolution 360°
Congruent Angles Angles with the same measure
Vertically Opposite Angles They are equal
Complementary Angles Their sum is 90°
Supplementary Angles Their sum is 180°
Adjacent Angles They share the same vertex and side - the do not cover each other
Distance Formula for points on a Coordinate Plane √(x2 - x1)² + (y2 - y1)²
Created by: flosslikeaboss73
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