Question

Use the image to answer the question.

An illustration shows two quadrilaterals. Quadrilateral A C B D is smaller than quadrilateral G H F E. In quadrilateral A C B D, angle A measures 90 degrees, angle C measures 108 degrees, angle B measures 90 degrees, and angle D measures 72 degrees. In quadrilateral G H F E, angle G measures 90 degrees, angle H measures 108 degrees, angle F measures 90 degrees, and angle E measures 72 degrees.

Which statement correctly describes the similarity between the two quadrilaterals?

(1 point)
Responses

Quadrilateral ACBD
∼
Quadrilateral GHFE

Quadrilateral upper A upper C upper B upper D 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

Quadrilateral BDAC
∼
Quadrilateral GHFE

Quadrilateral upper B upper D upper A upper C tilde Quadrilateral upper G upper H upper F upper E

Quadrilateral ADBC
∼
Quadrilateral FHGE

Answer 1

Quadrilateral ACBD ∼ Quadrilateral GHFE.

Reason: In the vertex order ACBD the angles are 90° (A), 108° (C), 90° (B), 72° (D), which correspond exactly to G(90°), H(108°), F(90°), E(72°) in GHFE. Thus the corresponding angles match.