1/11
Name | Mastery | Learn | Test | Matching | Spaced |
---|
No study sessions yet.
Parallelogram
Properties (THE BIG 5):
Opposite sides are congruent
Opposite sides are parallel
Opposite angles are congruent
Consecutive angles are supplementary
Diagonals bisect each other
To Prove: (ONE of the following)
Diagonals bisect each other
Both pairs of opposite sides are parallel
Both pairs of opposite sides are congruent
One pair of opposite sides is parallel and congruent
Rectangle
Properties:
The big 5
4 right angles (equiangular)
Diagonals are congruent
To Prove: (Prove it is a parallelogram and ONE of the following)
One right angle (Opposite recipricol slopes)
Diagonals are conrgeunt
Rhombus
Properties:
The big 5
2 congruent consecutive sides (equilateral)
Diagonals are perpendicular
Diagonals bisect opposite angles
To Prove: (Prove it is a parallelogram and ONE of the following)
Diagonals are perpendicular
2 adjacent sides are congruent
Square
Properties:
The big 5
Rectangle with 2 congruent consecutive sides
equilateral
4 right angles
Diagonals bisect the angles
Diagonals are congruent and perpendicular
To Prove:
Prove it is a rectangle and that 2 adjacent sides are congruent.
Prove it’s a rhombus and has one right angle.
Trapezoid
Properties:
Only 2 parallel sides
Parallel sides: bases
Non-parallel sides: legs
To Prove:
Prove that 1 pair of opposite sides are parallel and the other pair of sides are not parallel.
Isosceles trapezoid
Properties:
Legs are congruent
Base angles are congruent
The mid-segment is parallel to the bases
The length of the mid-segment is equal to ½ the sum of the lengths of the bases
To Prove: (Prove the figure is a trapezoid and ONE of the following)
Legs are congruent
Diagonals are congruent
Right Trapezoid
Properties:
One leg is perpendicular to the base
To Prove:
Prove figure is a trapezoid and one leg is perpendicular to a base.
Kite
Properties:
Quadrilateral with 2 pairs of consecutive sides congruent and no opposite sides congruent.
Diagonals are perpendicular
To Prove:
Prove 2 consecutive sides are congruent and opposite sides are not congruent.
Line segments are congruent → lengths are equal
Distance Formula
d = √(x2 - X1)2 + (Y2 - Y1)2
Lines are parallel → slopes are equal
Slope Formula
m = (Y2 - Y1)/(X2 - X1)
Line segments bisect each other → midpoints are the same
Midpoint Formula
Mx = X1 + X2/2
My = Y1 + Y2/2
Lines are perpendicular → slopes are negative reciprocals
Slope Formula
m = (Y2 - Y1)/(X2 - X1)