Distance and Midpoint

Distance

100

Find the distance between the points to the nearest tenth. J (2, -1) and K (2, 5)

6

200

Find the distance between T(5, 2) and R(-4, -1) to the nearest tenth.

9.5

300

QS has endpoints Q(3,5) and S(7,-9). Find the length of the segment.

14.6

400

The coordinates of San Francisco are (8495, 8720) and the coordinates of Boston are (4422, 1241). Find the distance between these two cities.

2693 miles

500

Find the perimeter of the triangle that has vertices A(-3,0), B(1,4), and C(3,-2). Round to the nearest tenth.

18.3

Midpoint

100

What is the midpoint formula?

( (x1+x2)/2 , (y1+y2)/2 )

200

Find the coordinates of the midpoint of HX. H(0,0) and X(8,4)

(4,2)

300

Find the coordinates of the midpoint of HX. H(13,8) and X(-6,-6)

(3.5, 1)

400

AB has endpoints A(-4,5) and B(6,-2). Find the midpoint of the segment.

(1, 1.5)

500

Quadrilateral ABCD has vertices A(2,1), B(6,-1), C(8,7), and D(4,9). Find the midpoints of AC and BD

(5,4) for both

Pythagorean Theorem

100

What is the Pythagorean Theorem?

a^2 + b^2 = c^2

200

If a = 1, and b = 2, find c the hypotenuse.

c = 2.2

300

If a = 3 and b = 4, find c the hypotenuse.

c = 5

400

If a = 4 and c = 6, find b.

4.5

500

If c = 14 and b = 2, find c.

13.9

Vocab

100

The midpoint is the _____________ of the segment.

middle

200

Distance is always a ___________ number.

Positive

300

The distance formula uses __________, while the midpoint formula uses __________. (addition or subtraction)

subtraction; addition

400

A segment is a part of a line consisting of ______ endpoints and all the points in between them.

Two

500

What is the most common right triangle? 

3 - 4 - 5