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| Reasoning based on patterns you observe |
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| Conclusion reached by using inductive reasoning |
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| An example that proves the conjecture false |
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*One of the 3 undefinable terms in Geometry
A location that has no size/thickness; represented by a dot |
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*One of the 3 undefinable terms in Geometry
An infinite number of points that extend forever in opposite directions |
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| Points that lie on the same line |
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*One of the 3 undefinable terms in Geometry
A flat surface with no thickness; extends forever in all directions of it's lines |
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| A rule/statement accepted as truth without proof |
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| Part of a line consisting of two end points and all the point in between |
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| Part of a line consisting of one end point and continuing forever in the other direction |
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| Two collinear rays with the same end point going in opposite directions |
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| Noncoplanar lines, therefore they are not parallel and do not intersect |
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| Coplanar lines that never intersect |
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| Planes that never intersect |
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| A number assigned to a point |
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| Two segments with the same length |
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| Point that divides a segment into 2 congruent segments |
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| A line, segment, or ray that goes through the midpoint |
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Formed by 2 rays with the same end point
-Sides: the rays
-Vertex: end point of the angle |
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Definition
-Acute: 0-Right: x=90
-Obtuse: 90-Straight: x=180 |
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| Angles with the same measure |
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| Two angles whose sides are opposite rays |
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| Two coplanar angles with a common side, a common vertex, and no common interior points |
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| Two angles whose measures add up to 90 degrees (the angles are the COMPLEMENT of eachother) |
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| Two angles whose measures add up to 180 degrees (the angles are the SUPPLEMENT of eachother) |
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Definition
To use a compass and a straight edge (NO MEASUREMENT TOOLS)
-Straightedge: ruler without markings
-Compass: tool used to draw circles and parts of circles called arcs
**PAGE 44-47 IN TEXTBOOK** |
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Definition
| Lines that form right angles |
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| Line, segment, or ray that forms a right angle at a segment's midpoint |
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| A ray that divides an angle into 2 congruent angles |
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Definition
Distance around an object (P)
-Square: 4s where s= the side
-Rectangle: 2l+2w where l= length and w= width
-Circle: 2(pi)r or d(pi) where r= radius & d= diameter |
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Coverage/space inside an object
-Square: s^2 where s=side
-Rectangle: lw or bh where l= length, w= width, b= base, and h= height
-Circle: (pi)r^2 where r= radius |
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Postulate 1-1
(Unique Line Postulate) |
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| Through any two points, there is exactly one line |
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| If two lines intersect, then they intersect at exactly one point |
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| If two planes intersect, then they intersect at exactly one line |
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| Through any three noncollinear points, there is exactly one plane |
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How to use a ruler...
|a-b|=segment AB |
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| Segment Addition Postulate |
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Definition
| If 3 points: A, B, and C are noncollinear and point B is between A and C, then AB+BC=AC |
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Definition
| If point D is in the interior or |
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| If two figures are congruent, then their areas are equal |
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| The area of a region (shape) is the sum of the areas of it's nonoverlapping parts |
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The distance (D) between two points; A(x1,y1) + B(x2,y2)
d=√(x2-x1)2+(y2-y1)2 |
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Definition
The coordinates of the midpoint (M) of AB with A(x1,y1) and B(x2,y2)
M=([x1+x2/2], [y1+y2/2]) |
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