Front | Back |
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
|