Pythagorean Theorem
Fractional Distance &
Midpoint
Midpoint
Distance
Wild Card
100
Solve for x
10
100
Given a segment with endpoints A (0,10) and B (0,25), find the coordinate 1/5th of the way from A to B.
(0, 13)
100
Use the distance formula to find the distance between points (12, 17) and (22, -3). Give your answer simplest radical form.
10√5
100
What does x2-x1 represent?
Horizontal Distance
200
Solve for x. Answer in radical form.
6√6
200
Given a segment with endpoints A (-1, 2) and B (9, -4), find the midpoint.
Midpoint = (4, -1)
200
How would you find the distance between two points that share the same X-coordinate?
y2-y1
200
Simplify this radical:
√64
8
300
Which of these is NOT a Pythagorean Triple?
a) 5, 12, 13
b) 15, 8, 17
c) 3, 4, 5
d) 7, 20, 25
d) 7, 20, 25
300
Write the midpoint formula.
300
Given points A (-4, 3) and B (2, -2), determine the distance between the two points.
7.81
300
What does y2-y1 represent?
Vertical Distance
400
In a right triangle, the length of the base is 9 cm, hypotenuse is 15 cm. Find the value of the missing side.
12
400
Given a segment with endpoint A (5, -3) and midpoint M (7, 2), find the other endpoint.
x2, y2 = (9,7)
400
Write the distance formula.
400
Simplify this radical:
∛216
6
500
Write out the Pythagorean Theorem, but solving for b.
b=√c2-a2
500
Given a segment with endpoints A (1, 2) and B (17, 14), find the point 1⁄4 of the way from B to A.
(13,11)
500
If the triangle below has points A (x1, y1) and B (x2, y2), what are the coordinates of C?
(x2, y1)
500
Write down the three steps you need to find fractional distance.
1) Find total distance (TD)
2) Find fractional distance (FD) by multiplying TD by your fraction
3) Add / subtract your FD to your starting point.