Question
hich statement correctly describes the similarity between the two quadrilaterals?
(1 point)
Responses
Quadrilateral ADBC
∼
Quadrilateral FHGE
Quadrilateral upper A upper D upper B upper C tilde Quadrilateral upper F upper H upper G upper E
Quadrilateral ACBD
∼
Quadrilateral GHFE
Quadrilateral upper A upper C upper B upper D tilde Quadrilateral upper G upper H upper F upper E
Quadrilateral BDAC
∼
Quadrilateral GHFE
Quadrilateral upper B upper D upper A upper C tilde Quadrilateral upper G upper H upper F upper E
Quadrilateral ABCD
∼
Quadrilateral EFGH
Quadrilateral upper A upper B upper C upper D tilde Quadrilateral upper E upper F upper G upper H
(1 point)
Responses
Quadrilateral ADBC
∼
Quadrilateral FHGE
Quadrilateral upper A upper D upper B upper C tilde Quadrilateral upper F upper H upper G upper E
Quadrilateral ACBD
∼
Quadrilateral GHFE
Quadrilateral upper A upper C upper B upper D tilde Quadrilateral upper G upper H upper F upper E
Quadrilateral BDAC
∼
Quadrilateral GHFE
Quadrilateral upper B upper D upper A upper C tilde Quadrilateral upper G upper H upper F upper E
Quadrilateral ABCD
∼
Quadrilateral EFGH
Quadrilateral upper A upper B upper C upper D tilde Quadrilateral upper E upper F upper G upper H
Answers
GPT-4o mini
To determine the similarity between the given quadrilaterals, we'll look for corresponding vertices and the order of the vertices.
1. **Quadrilateral ADBC ∼ Quadrilateral FHGE**
- A corresponds to F
- D corresponds to H
- B corresponds to G
- C corresponds to E
2. **Quadrilateral ACBD ∼ Quadrilateral GHFE**
- A corresponds to G
- C corresponds to H
- B corresponds to F
- D corresponds to E
3. **Quadrilateral BDAC ∼ Quadrilateral GHFE**
- B corresponds to G
- D corresponds to H
- A corresponds to F
- C corresponds to E
4. **Quadrilateral ABCD ∼ Quadrilateral EFGH**
- A corresponds to E
- B corresponds to F
- C corresponds to G
- D corresponds to H
You must verify if the vertices correspond to the same order and if the angles are equal and the sides are proportional to confirm similarity.
As long as one pair of quadrilaterals maintains the necessary properties of similarity (angle equality and proportional sides), they are similar.
From the information you've provided, without additional context regarding the actual shapes or dimensions, the correct similarity assertion hinges on the corresponding order of the vertices clearly indicating that they represent the same figures in a similar orientation.
Assuming that "Quadrilateral ABCD ∼ Quadrilateral EFGH" is showing a straightforward correspondence that typically represents similarity in shape and size within context, this should be your answer.
**Final answer: Quadrilateral ABCD ∼ Quadrilateral EFGH**
1. **Quadrilateral ADBC ∼ Quadrilateral FHGE**
- A corresponds to F
- D corresponds to H
- B corresponds to G
- C corresponds to E
2. **Quadrilateral ACBD ∼ Quadrilateral GHFE**
- A corresponds to G
- C corresponds to H
- B corresponds to F
- D corresponds to E
3. **Quadrilateral BDAC ∼ Quadrilateral GHFE**
- B corresponds to G
- D corresponds to H
- A corresponds to F
- C corresponds to E
4. **Quadrilateral ABCD ∼ Quadrilateral EFGH**
- A corresponds to E
- B corresponds to F
- C corresponds to G
- D corresponds to H
You must verify if the vertices correspond to the same order and if the angles are equal and the sides are proportional to confirm similarity.
As long as one pair of quadrilaterals maintains the necessary properties of similarity (angle equality and proportional sides), they are similar.
From the information you've provided, without additional context regarding the actual shapes or dimensions, the correct similarity assertion hinges on the corresponding order of the vertices clearly indicating that they represent the same figures in a similar orientation.
Assuming that "Quadrilateral ABCD ∼ Quadrilateral EFGH" is showing a straightforward correspondence that typically represents similarity in shape and size within context, this should be your answer.
**Final answer: Quadrilateral ABCD ∼ Quadrilateral EFGH**