Flashcards
proving results
Cards in this deck (8)
- 1Proving results.theorem: if two sides of the triangle are equal, then the angles are also equal
- 2the slope is used to show parallel lines and perpendicular lines. parallel lines have the same slope. perpendicular lines have opposite reciprocal slopes.slope formula:
y1-y2
--------
x1-x2 - 3the distance formula: d = (x2-x1) + (y2-y1)the midpoint formula:
a+c b+d
( ---- , ---- )
2 2 - 4proving a right triangle: method 1: show two sides of the triangle are perpendicular by demonstrating their slopes are opposite reciprocals method 2: calculate the distances of all three sides, then test pythagorean theorempythagorean theorem formula:
a2+b2=c2 - 5proving an isosceles triangle: show two sides of the triangle are congruent by using the distance formulaproving an equilateral triangle:
show three sides of the triangle are equal by using the distance formula - 6proving a parallelogram: method 1: show the diagonals bisect each other, by showing the midpoint of the diagonals are the same method 2: show the pairs of opposite sides are parallel, by showing the slopes are equal method 3: show both pairs of opposite sides are equal by using distanceproving a rectangle:
method 1: show that the diagonals are congruent
method 2: show that it has a right angle by using slope - 7proving a square: prove the diagonals bisect each other are equal and perpendicularproving a rhombus:
method 1: prove that the diagonals are perpendicular
method 2: prove that a pair of adjacent sides are equal
method 3: prove all sides are equal - 8proving a trapezoid: show one pair of sides are parallel and one pair of sides are not parallelGood luck!
Information
- Description
- math Flashcards on proving results, created by Nina Vieira on 15/07/2020.
- Created by
- Nina Vieira
- Views
- 0
- Rating
More on Geometric Proofs and Reasoning