Which statement correctly describes the similarity between the two quadrilaterals?

Question

(1 point)
Responses

Quadrilateral ACBD
∼
Quadrilateral GHFE
Quadrilateral cap A cap c cap b cap d approximates Quadrilateral cap g cap h cap f cap e - no response given

Quadrilateral BDAC
∼
Quadrilateral GHFE
Quadrilateral cap b cap d cap A cap c approximates Quadrilateral cap g cap h cap f cap e - no response given

Quadrilateral ABCD
∼
Quadrilateral EFGH
Quadrilateral cap A cap b cap c cap d approximates Quadrilateral cap e cap f cap g cap h - incorrect

Quadrilateral ADBC
∼
Quadrilateral FHGE

Answer 1

To determine the appropriate statement regarding the similarity of the quadrilaterals, we should look for notations of similarity (denoted by the "∼" symbol) and ensure that the order of the corresponding vertices is consistent.

Given the options:

1. Quadrilateral ACBD ∼ Quadrilateral GHFE
2. Quadrilateral BDAC ∼ Quadrilateral GHFE
3. Quadrilateral ABCD ∼ Quadrilateral EFGH
4. Quadrilateral ADBC ∼ Quadrilateral FHGE

If the quadrilaterals are similar, it implies that they have the same shape (angles are equal) but possibly different sizes (proportional sides).

Without the figures themselves, we cannot definitively state which option is correct. However, based on the standard forms of naming vertices and ensuring correct sequences, the third statement "Quadrilateral ABCD ∼ Quadrilateral EFGH" is a commonly recognized representation of similarity among quadrilaterals. It states ABCD is similar to EFGH, suggesting that the order of vertices aligns corresponding angles accurately.

Therefore, the answer that most likely describes the similarity correctly (if the orders correspond accordingly) is:

Quadrilateral ABCD ∼ Quadrilateral EFGH.