Geometry Proofs:

How to prove...

10 cards   |   Total Attempts: 182
  

Cards In This Set

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2 Lines Parallel
- find the slope of the 2 lines- slopes must be =
2 Lines Perpendicular 
- find the slope of the two lines- slopes must be negative reciprocals of each other 
A triangle is a right triangle
- find the slopes of the legs- slopes must be negative reciprocals of each other                                    OR- find the lengths of the 3 sides (distance form.)- use use a2 + b2 = c2 (pythagorean theorem)
A triangle is isosceles 
- Find the lengths of the 2 congruent sides(have to be equal)
A triangle is an isosceles right triangle
- Find the lengths of the 2 congruent sides (distance formula)- solve: a2 + b2 = c2 (pythagorean theorem)-  length of the 2 sides have to be =
A quadrilateral is a parallelogram
- Find the slope of 4 sides- have to have equal slopesOR- (distance formula) find lengths of 4 sides- lengths of opp sides are =
A quadrilateral is a parallelogram
- slopes of 1 pair of opp sides =- same pair have = lengthsOR- (midpoint form.) mdpts of diagnols =- meaning the diagonals intersect 
A quadrilateral is a rectangle
- find the slpes of the 4 sides - slopes of each pair of adjacent sides are neg reciprocals - lines must be perpendicular (has 4 right angs)OR - prove that a quadrilateral is a parallelogram- find the lengths of the diagonals (distance for)- has to have equal diagonals
A quadrilateral is a rhombus
- find the lengths of the 4 sides - quadrilateral is an equilateral = a rhombus
A quadrilateral is a square
- find the lengths of the 4 sides & 2 diagonals - quadrilateral is a rhombus, with = diagonals