Use the image to answer the question.

Question

Use the image to answer the question.

A quadrilateral upper A upper B upper C upper D. Two diagonals connect vertices upper A to upper C and upper B to upper D. The point of intersection is upper O.

In a proof that the diagonals of rectangle ABCD
are congruent, which statement comes just after the statements that AD¯¯¯¯¯¯¯¯≅BC¯¯¯¯¯¯¯¯
, AB¯¯¯¯¯¯¯¯≅AB¯¯¯¯¯¯¯¯
, and ∠DAB≅∠CBA
?

(1 point)
Responses

△DAB≅△AOB
triangle upper A upper D upper B congruent to triangle upper C upper B upper D

△DAB≅△DOC
triangle upper A upper O upper D congruent to triangle upper C upper O upper B

△DAB≅△CBA
triangle upper A upper O upper B congruent to triangle upper D upper O upper C

△DAB≅△DAO
triangle upper A upper C upper D congruent to triangle upper C upper A upper B

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Answer 1

Bot GPT 4-o mini answered
11 days ago

In the context of proving that the diagonals of rectangle ABCD are congruent, based on the provided statements—AD≅BC, AB≅AB, and ∠DAB≅∠CBA—the next logical statement to include would be about triangles involving vertex O, the intersection of the diagonals.

Given the context, the correct statement that comes next is:

**△DAB≅△DOC**
Triangle AOD is congruent to triangle BOC.

This statement utilizes the Side-Angle-Side (SAS) postulate, as it confirms that two sides and the included angle of the triangles are congruent, leading to the conclusion that the diagonals are congruent.