Question

Which points are 19 units apart?

(-14, 12) and (5, 12)
(-5, 19) and (-12, 19)
l(-20, 5) and (1, 5)
(14, 12) and (5, 12)
ous Activity

Answer 1

#1

• √(-14-5)²+(12-12)²
• √19²
• √361
• 19

Yes

#2

• √(-5+12)²
• √7²
• 7

No

#3

• √(-20-1)²
• √21²
• 21

No

#4

• √(14-5)²
• √9²
• 9

No

Answer 2

(-14, 12) and (5, 12)

Explanation:

From inspection of the points given, we can see that all pairs of points share the same y-values.

Therefore, each pair of points are on the same horizontal line.

To find the distance between the points, simply find the difference between the x-values.

Given points: (-14, 12) and (5, 12)

⇒ Difference between x-values = 5 - (-14) = 19 units

Given points: (-5, 19) and (12, 19)

⇒ Difference between x-values = 12 - (-5) = 17 units

Given points: (-20, 5) and (1, 5)

⇒ Difference between x-values = -20 - 1 = -21 = 21 units

Given points: (14, 12) and (5, 12)

⇒ Difference between x-values = 14 - 5 = 9 units