Midpoint Formula
Find the midpoint between the two points. (-8, 4) (2, 9)
(-3, 6.5)
A is located at -4 with a weight of 6 and B is located at 2 with a weight of 3.
-2
A location in space
point
XY = 12, YZ = 2x, XZ = 28. Y is between X and Z. Find the length of YZ.
5
Find P on AF such that the ratio of AP to PF is 1:3. A is located at -15 and F is located at 1.
-11
Find the midpoint. (-6, -2) (4, 0)
(-1, -1)
B is located at -6 and weighs three times as much as D. D is located at 2.
-4
Something that is proven true
Theorem
XY = 11d, YZ = 9d - 2, XZ = 5d + 28. Y is between X and Z. Find the length of YZ.
16
Find B on AC such that the ratio of AB to BC is 3:4. A is located at -5 and C is located at 7.
1/7
Find the midpoint between A and B is A is located at -20 and B is located at 12.
-4
X weighs four times as much as Z, and Y weighs three times as much as X. X is located at -4, Y is located at 0, and Z is located at 5.
-11/8 or -1.375
How do you name a plane?
With 3 non-collinear points
XY = 7a, YZ = 5a, XZ = 6a + 24. Y is between X and Z. Find the length of YZ.
20
Find X on AE such that AX to XE is 1:2. A is located at -8 and E is located at 7.
-3
Find the endpoint if B is the midpoint. A(5, 2) B(6, 4) C(?,?)
C(7, 6)
U weighs twice as much as X. U(-8, -5) X(2, 0)
(-14/3, -10/3)
How do you name a line?
With two collinear points.
A carpenter has a piece of wood that is 78 inches long. He wants to cut it so that one piece is five times as long as the other piece. What are the lengths of the two pieces?
13 in & 65 in
Find C on AB such that AC to CB is 1:2. A(-5, -2) B(6, 2)
C(-4/3, -2/3)
Find the endpoint if B is the midpoint. A(-1, -2) B(11, -4) C(?,?)
C(23, -6)
A handyman services customers from two towns that are 50 miles apart. He wants to install an office between the two cities using weighted averages based on calls received from each city. If one city has a weight of 3, and the other 5, how far from the first city should he place his office?
31.25 miles
What does collinear mean?
Same line.
A straight railroad track is being built to connect two cities. The measured distance of the track between the two cities is 160.5 miles. A mail stop that is between the two cities and lies along the track is 28.5 miles from the first city. How far is the mail stop from the second city?
132 mi
Find R on QS such that QR to RS is 2:3. Q(-2, -1) S(8, 5)
R(2, 1.4)