Question

These two trapezoids are similar What is the correct way to complete the similarity statement?

ABCD-GFHE
ABCD-EGFH
ABCD-FHEG
ABCD-HEGF

Answer 1

Option A:

`\mathrm{ABCD} \sim \mathrm{GFHE}`

Solution:

ABCD and EGFH are two trapezoids.

To determine the correct way to tell the two trapezoids are similar.

Option A:
`\mathrm{ABCD} \sim \mathrm{GFHE}`

AB = GF (side)

BC = FH (side)

CD = HE (side)

DA = EG (side)

So,
`\mathrm{ABCD} \sim \mathrm{GFHE}` is the correct way to complete the statement.

Option B:
`\mathrm{ABCD} \sim \mathrm{EGFH}`

In the given image length of AB ≠ EG.

So,
`\mathrm{ABCD} \sim \mathrm{EGFH}` is the not the correct way to complete the statement.

Option C:
`\mathrm{ABCD} \sim \mathrm{FHEG}`

In the given image length of AB ≠ FH.

So,
`\mathrm{ABCD} \sim \mathrm{FHEG}` is the not the correct way to complete the statement.

Option D:
`\mathrm{ABCD} \sim \mathrm{HEGF}`

In the given image length of AB ≠ HE.

So,
`\mathrm{ABCD} \sim \mathrm{HEGF}` is the not the correct way to complete the statement.

Hence,
`\mathrm{ABCD} \sim \mathrm{GFHE}` is the correct way to complete the statement.