Option A:
[tex]\mathrm{ABCD} \sim \mathrm{GFHE}[/tex]
Solution:
ABCD and EGFH are two trapezoids.
To determine the correct way to tell the two trapezoids are similar.
Option A: [tex]\mathrm{ABCD} \sim \mathrm{GFHE}[/tex]
AB = GF (side)
BC = FH (side)
CD = HE (side)
DA = EG (side)
So, [tex]\mathrm{ABCD} \sim \mathrm{GFHE}[/tex] is the correct way to complete the statement.
Option B: [tex]\mathrm{ABCD} \sim \mathrm{EGFH}[/tex]
In the given image length of AB ≠ EG.
So, [tex]\mathrm{ABCD} \sim \mathrm{EGFH}[/tex] is the not the correct way to complete the statement.
Option C: [tex]\mathrm{ABCD} \sim \mathrm{FHEG}[/tex]
In the given image length of AB ≠ FH.
So, [tex]\mathrm{ABCD} \sim \mathrm{FHEG}[/tex] is the not the correct way to complete the statement.
Option D: [tex]\mathrm{ABCD} \sim \mathrm{HEGF}[/tex]
In the given image length of AB ≠ HE.
So, [tex]\mathrm{ABCD} \sim \mathrm{HEGF}[/tex] is the not the correct way to complete the statement.
Hence, [tex]\mathrm{ABCD} \sim \mathrm{GFHE}[/tex] is the correct way to complete the statement.
Answer:
ABCD is congruent to EGFH
Step-by-step explanation:
Because,
A=E
B=G
C=F
D=H
They all congruent
