Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

9. which statement is given in the diagram? ∠acb ≅ ∠abc ∠abc ≅ ∠ade ∠ac…

Question

  1. which statement is given in the diagram?

∠acb ≅ ∠abc
∠abc ≅ ∠ade
∠acb ≅ ∠ade
∠acd ≅ ∠adc

Explanation:

Step1: Analyze the right - angle marks

In the diagram, $\angle ABC$ and $\angle AED$ are right angles ($\angle ABC=\angle AED = 90^{\circ}$). We need to check the congruent angle marks.

Step2: Check the congruent angle marks

We observe that $\angle ACB$ and $\angle ADE$ have the same number of congruent angle marks.

Answer:

$\angle ACB\cong\angle ADE$ (the third option)