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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
<h3>How to Find the Length of Segments Connected by Two Points?</h3>To find the length of a segment connected by two coordinate points, the distance formula is applied, which is:
d = .
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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Answer:
For statement 2, reason is Segment addition postulate.
Statement 3 and reason is
BD=AC+CD using substitution property of equality.
Statement 4 and reason is
AC+CD=BD using symmetric property of equality
Statement 5 is
BD= BC+CD
Statement 6 and reason is
AC+CD=BC+CD using transitive property of equality
Reason for 7 is
Subtraction property of equality.
Step-by-step explanation:
For statement 2, we use segment addition postulate to say AC= AE+EC.
