Geometry Chapter 5
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| triangle | polygon with 3 sides and 3 angles
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| scalene triangle | no congruent sides
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| isosceles triangle | at least 2 congruent sides
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| equilateral triangle | 3 congruent sides and angles (60 degrees)
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| acute | 3 angles less than 90 degrees
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| right | one angle is 90 degrees, the other two are acute
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| obtuse | one angle is more than 90 degrees, the other two are acute
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| equiangular | 3 congruent angles
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| congruent triangles... | fit on top of each other
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| CPCTC | corresponding parts of congruent triangles are congruent
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| SSS | side, side, side
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| SAS | side, angle, side (angle in between congruent sides)
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| ASA | angle, side, angle (side in between congruent angles)
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| AAS | angle, angle, side (side is not between congruent angles)
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| hypotenuse | opposite right angle, longest side of triangle
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| legs | 2 congruent sides of isosceles triangle
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| SAS --> | LL
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| ASA --> | LA
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| ASS --> | HL
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| AAS --> | LA or HA
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| the sum of the measures of the angles of a triangle = | 180 degrees
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| if 2 angles of one triangle are congruent to 2 angles of another triangle, then | the third angles are congruent
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| remote interior angles | farthest away from exterior angle, sum equals the exterior angle
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| exterior angles | angle formed from a line extended out from the base of a triangle (makes linear pair with non-remote interior angle)
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| corollary | a statement that can easily be proven using a theorem (in between a postulate and a theorem)
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| proof with angles or segments in the prove | last step is CPCTC
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| proof with triangles in the prove | last step is a reason like SAS or AAS, etc.
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| 2 steps needed in every right triangle proof | def of perpendicular, and def of right triangle
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| base | noncongruent side of isosceles triangle
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| vertex | where the legs intersect
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| base angles | formed where legs intersect base, congruent
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| steps in coordinate geometry proof | 1. draw an accurate figure on graph
2. use tools to make necessary calculations
3. write a conclusion based on your results
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| tips for drawing a good diagram for a coordinate geometry proof | use as many zeroes as possible, use as few variables as possible
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| distance formula | length, equal, congruent in prove
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| slope formula | parallel, perpendicular, right angle in prove
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| midpoint formula | half, bisect in prove
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| overlapping triangle proof tips | use more than 1 pair of congruent triangles, first pair uses given symbols/information, redraw triangles you are using separated, use CPCTC sometimes more than once, look for common sides or angles
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You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
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