Parallel v Perpendicular
What is true about the slopes of parallel lines?
They are the same, they have the same slope
This quadrilateral has 2 pairs of parallel opposite sides and opposite sides are congruent
a parallelogram
What is the distance formula?
squareroot_((x_2-x_1)^2+(y_2-y_1)^2
If a rectangle is 7 yards long and 5.5 yards wide, what is the area of the rectangle?
A=38.5 square yards
A figure has side lengths of 7, 12, 6.5, 9, and 8. What is the perimeter of the figure?
P=42.5 units
What is true about the slopes of perpendicular lines?
They are the opposite reciprocals of each other
This quadrilateral has at least one pair of parallel sides
a trapezoid
Given quadrilateral KLMN, if point K is (2,6) and L is (6,3) what is the length of side KL?
KL=5
If a triangle has a height of 8 and a base of 4, what is the area of the triangle?
A=16 square units
A square has side lengths of 11 feet. What is the perimeter?
P=44 feet
Write the equation of a line that passes through the point (8,3) and is parallel to the line that passes through the points (-5,-1) and (1,-4)
y=-1/2x+7
This quadrilateral has 4 congruent sides and opposite sides are parallel
a rhombus
LM=
squareroot_17
A pool is 50 yards by 25 yards. What is the perimeter around the pool?
P=150 yards
Write the equation of a line that passes through the point (-6,9) and is perpendicular to a line that passes through the points (-2,1) and (6,7)
y=3/4x+27/2 OR y=0.75x+13.5
This quadrilateral has opposite sides congruent and parallel and 4 90 degree angles
a rectangle
Given quadrilateral KLMN, if M(5, -1) and N(-3, 5) what is the length of MN?
MN=10
What has to be true of the height of a triangle?
Perpendicular to the base AND goes through the opposite vertex
The vertices of triangle STU are S(2,4), T (6, -8), and U (0,-10). What is the perimeter?
About 33.53 units
If a line is perpendicular to the line x=-2 and passes through the point (8,-4), what is the equation for that line?
y=-4
This quadrilateral has four congruent sides, opposites sides parallel, and four 90 degree angles
Given quadrilateral KLMN, if N(-3,5) and K(2,6), what is the length of NK?
NK=squareroot_26
A yard for a house in a cul-de-sac is shaped like a rectangle with a triangle on either end. The rectangle is 25 yards by 15 yards. The triangles are right triangles, with the base being 15 yards, and the height being 7 yards and 5 yards. What is the area of the yard?
A= 465 square yards
A triangle has side lengths of 14, 17.5, and 21. What is its perimeter?
P=52