Question

Write the length of the segments that connect each pair of points, in units.

Answer 1

The lengths of each of the segments connected by the given pairs of points are:

1. AB = 10 units

2. CD = 17 units

3. EF = 3 units

How to Find the Length of Segments Connected by Two Points?

To find the length of a segment connected by two coordinate points, the distance formula is applied, which is:

d = $\sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}$.

1. Find the length of segment AB:

A(5,-3)

B(-3,3)

AB = √[(−3−5)² + (3−(−3))²]

AB = √[(−8)² + (6)²]

AB = √100

AB = 10 units

2. Find the length of segment CD:

C(-2, -7)

D(6, 8)

CD = √[(6−(−2))² + (8−(−7))²]

CD = √(64 + 225)

CD = 17 units

3. Find the length of segment EF:

E(5,6)

F(5,3)

EF = √[(5−5)² + (3−6)²[

EF = √(0 + 9)

EF = √9

EF = 3 units

Learn more about lengths of segments on:

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