Question

What is the length of line segment CD?

Enter your answer, as a decimal rounded to the nearest tenth, in the box.

CD =
units
A graph with lines drawn between points A begin ordered pair 1, 3 end ordered pair and B begin ordered pair 4, 3 end ordered pair, points C begin ordered pair -2, 2 end ordered pair and D begin ordered pair 4, -4 end ordered pair, and points E begin ordered pair -7, 0 end ordered pair and F begin ordered pair -2, 4 end ordered pair

Answer 1

Assume you need to find distance CD, between points C(-2, 2), D(4, -4)

Use distance formula:

• 
  `CD = √((4 + 2)^2+(-4-2)^2) = √(72) = 6√(2)` ≈ 8.5 units

Answer 2

C(x1,y1)=(-2, 2), D(4, -4)

D(x2,y2)=(4, -4)

we have

the length of line segment CD

=
`√((x2-x1)²+(y2-y1)²)\\ √((4+2)²+(-4-2)²)=8.48 units`