Chapter 5 Flashcards
(16 cards)
parallelogram
opp sides ll opp sides congruent opp angles congruent consecutive angles are supp diagonals bisect eachother
rectangle
opp sides ll opp sides congruent all angles are rt angles diagonals bisect eachother diagonals are congruent
rhombus
opp sides congruent
opp sides ll
opp angles congruent
consecutive angles sup
diagonals bisect opp angles
diagonals divide the rhombus into 4 congruent rt triangles
diagonals are perpendicular bisects of eachother
square
all sides congruent
opp sides ll
all angles are rt angles
diagonals are perpendicular bisects of eachother
diagonals are congruent
diagonals create 4 congruent isos rt triangles
kite
disjoint pairs of consecutive sides congruent
one pair of opp angles congruent
I diagonal is perpendicular bisect of other
diagonals are perpendicular
one diagonal is opp angle
trapezoid
1 pair of opp sides ll
isosceles trapezoid
legs are congruent bases are ll lower base angles are congruent upper base angles are congruent upper and lower base angles are sup diagonals are congruent
alternate interior angles
if alt int angles congruent then ll lines
alternate exterior angles
if alt ext angles congruent then ll lines
corresponding angles
if corr angles then ll lines
same side interior angles
if ss int angles supp then ll lines
same side exterior angles
if ss ext angles sup then ll lines
slope formula
m=y2 - y1/x2 - x1= rise/run
slope of ll lines
slopes of ll lines are equal
slope of perpendicular lines
slopes of perpendicular lines are opp reciprocals
five methods that prove a quad a parallelogram
if both pairs of opp sides ll if both pairs of opp sides congruent if one pair of opp sides are congruent and ll if both pairs of opp angles congruent if the diagonal bisects eachother