Question

Which two segments have the same length?

A. segments FG and GH
B. segments EF and GH
C. segments GI and FH
D. segments EF and HI

Answer 1

B because they are both 8 apart

Answer 2

Answer:

B. segments EF and GH

Step-by-step explanation:

FG

F is at -10 and G is at 1

So, length of FG = |-10-1| = 11 units

GH

G is at 1 and H is at 8

So, length of GH = |8-1| = 7 units

Length of FG ≠ Length of GH

EF

E is at -17 and F is at -10

So, length of EF = |-17-(-10)| = 7 units

∴ Length of EF = Length of GH = 7 units

GI

G is at 1 and I is at 14

So, length of GI = |14-1| = 13

FH

F is at -10 and H is at 8

So, length of FH = |8-(-10)| = 18 units

Length of GI ≠ Length of FH

HI

H is at 8 and I is at 14

So, length of HI = |14-8| = 6

Length of EF ≠ Length of HI