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24 Cards in this Set
- Front
- Back
Inductive reasoning
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patterns
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space
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set of all points
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postulate
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geometric facts you assume to be true
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theorum
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geometric facts you PROVE to be true
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opposite rays
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two collinear rays with one endpoint
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Conditional statement
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if...then
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biconditional
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reverseable, statement and converse are true
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law of detachment
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1. If A is true, then B.
2. A is true. 3. B is true. |
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Law of Syllogism
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If p...q and q...r, then p...r
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sum of interior angles
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180(n-2)
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How much do exterior angles of a convex polygon add up to?
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360 degrees
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regular polygon
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equilateral and equiangular
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m of each interior angle in reg. polygon
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[180(n-2)]/n or 180-360/n
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m ex. angles in reg. polygon
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360/n
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point slope
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y-y1 = m(x - x1)
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slope of horizontal lines
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0 slope
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slope of vertical lines
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no slope
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no choice theorum
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if two angles of one triangle are congruent to two angles of another, then the triangles are congruent
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median
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seg joining vertex of a triangle and the midpt of its opposite side
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centroid
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where the three medians intersect, divides median into ratio of 2:1 from vertex to midpt
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altitude:
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seg drawn from a vertex of a triangle and perp to the line containing the opposite side
~doesn't have to be inside the triangle ~every triangle has 3 ~3 alts intersect at vertex of rt triangle |
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orthocenter
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where 3 altitudes intersect
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ex. angle theorum
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ex. angles r > remotes but <180
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two sides of a triangle are....to the third side
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a-b<c<a+b
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