Midpoint & Distance Formula
What is the distance between the points A(14,-3) and B(2,2)?
13
For the triangle with vertices A(0,0), B(6,11), and C(12,5). What is the slope of the median from vertex A?
m = 8/9
Some squares are rhombuses.
True or False?
False; all squares are rhombuses and some rhombuses are squares (if they have four right angles)
What is the distance between point A(-2,4) and the line y=x?
4.242
What is the radius of the circle given by x2+y2=64?
8
What is the distance between C(-1,-4) and D(6,2)?
9.219
For the triangle with vertices A(0,0), B(6,11), and C(12,5). What is the slope of the perpendicular bisector of BC?
m = 1
Given triangle ABC with A(0, 5), B(0, -5), and C(-3, 3) classify the triangleas equilateral, isosceles, or scalene.
Scalene
Determine the shortest distance from the point D(2,−5) to the line represented by 3
7.2
Does the point (-7,-1) lie inside, on or outside the circle given by x2+y2=49?
Outside
Two coordinates of a line are A(2,4) and B(6,3). Their midpoint is .....
(4, 7/2)
For the triangle with vertices A(0,10), B(-14,-4) and C(8,0). Find the equation for the median from vertex B.
y=(1/2)x+3
Quadrilateral ABCD has coordinates A(4,7), B(9,7), C(6,3), and D(1,3). What kind is it?
Rhombus
What is the distance from the point A(4,4) and the line segment that passes through the points D(-3,3) and E(5,-3)?
5
What is the equation of the circle upon which the point (-10, 6) lies on?
x2+y2=136
The midpoint of a line is (-3,5). It is between the points C(-2,y) and D(x,-8). What are the values of x and y?
x= - 4 and y=18
For the triangle with vertices A(1,6), B(-7,-6), and C(7,-6). What is the equation for the perpendicular bisector for AB?
y=-(2/3)x-2
A triangle has vertices at P (-2,2) , Q (1,3) and R (4,-1). Find the slope and length of the midsegment joining the midpoints of PQ and PR.
m = -4/3
l = 2.5 units
A cable company is connecting a customer to its cable network. The customer’s house has coordinates H(6,17). The equation
(10, 9)
x2+y2= 169
A skydiver lands 150 yards west and 30 yards north of a target. A second skydiver lands 45 yards east and 150 yards south of the same target. How far from each other did the two skydivers land?
265.4
For the triangle with vertices A(-4,4), B(2,3), and C(-6,-5). What is the equation for the altitude from point A?
y = -x
A triangle has vertices at A (-1,-1) , B (2,0) and C(1,3). Classify the triangle.
Isosceles Right Triangle
Find the distance between point (-1, -3) and the midpoint of the line segment joining (2, 4) and (4,6).
8.94
What is a chord of a circle?
A straight line segment whose endpoints both lie on the circle.