Exploring the Midpoint and Distance Formula

What is the purpose of squaring the differences between coordinates in the distance formula?

• To simplify the calculation

• To make the differences positive

• To make the differences negative

• To find the midpoint

If the distance between two x-coordinates is 3 and 5, what is the squared difference?

• 1

• 9

• 4

• 16

What is the simplified form of the square root of 20?

• 2√5

• √10

• 4√5

• 5√2

Which theorem is the distance formula derived from?

• Binomial Theorem

• Pythagorean Theorem

• Euclidean Theorem

• Fundamental Theorem of Algebra

In the Pythagorean theorem, what does 'C' represent?

• The midpoint

• The hypotenuse

• The difference between y-coordinates

• The difference between x-coordinates

What is the distance between the points (3, 4) and (7, 9)?

• 2√5

• √41

• 5

• √20

How do you simplify the square root of a non-prime number?

• By multiplying the prime factors

• By subtracting the prime factors

• By breaking it down into a factor tree

• By adding the prime factors

What is the midpoint between the coordinates (4, 8) and (8, 14)?

• (6, 11)

• (5, 10)

• (7, 12)

• (6, 10)

How do you find the midpoint of two coordinates?

• By adding the coordinates and dividing by 2

• By subtracting the coordinates and dividing by 2

• By multiplying the coordinates and dividing by 2

• By adding the coordinates and multiplying by 2

What is the midpoint between the coordinates (-3, 7) and (9, -1)?

• (2, 3)

• (3, 2)

• (3, 3)

• (2, 2)