Geometry (Analytic)

Question 1

Distance Formula

Answer 1

Question 2

What is the distance between (8, -3) and (4, -7)

Answer 2

d = √( (4 - 8)² + (-7 + 3)² )

d = √(4² + 4²)

d = √(16 + 16)

d = √32

Question 3

What is the length of the line below

Answer 3

d = √(12² + 5²)

d = √(144 + 25)

d = √169

d = 13

Question 4

What is the distance between the following points

Answer 4

d = √(6² + 6²)

d = √(36 + 36)

d = √72

Question 5

What is the distance between (-9, -6) and (-2, -2)

Answer 5

d = √( (-2 + 9)² + (-2 + 6)² )

d = √(7² + 4²)

d = √(49 + 16)

d = √65

Question 6

Mid Point Formula

Answer 6

Question 7

What is the midpoint between (-3, -5) and (1, -9)

Answer 7

Mid Point = (1 + -3)/2 , (-9 + -5)/2

Mid Point = (-2 /2) , (-14 /2)

Mid Point = (-1, -7)

Question 8

Point A is (-7, -9)

The Midpoint is (-0.5, -3)

What is point B?

Answer 8

(-0.5 + 7) , (-3 +9)

(6.5, 6)

Point B = (-0.5 + 6.5), (-3 + 6)

Point B = (6, 3)

Question 9

What is the midpoint between (-7, 5) and (7, 3)

Answer 9

Mid Point = (7 + -7)/2 , (3 + 5)/2

Mid Point = (0 /2) , (8 /2)

Mid Point = (0, 4)

Question 10

Point A is (-1, -9)

The Midpoint is (0.5, -2.5)

What is point B?

Answer 10

Point B = (2, 4)