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question 9 of 10 true or false? a circle could be circumscribed about t…

Question

question 9 of 10

true or false? a circle could be circumscribed about the quadrilateral below.

a. true
b. false

Explanation:

Identify the properties of the given quadrilateral

$$ \angle A = 90^\circ, \quad \angle B = 90^\circ, \quad \angle C = 90^\circ, \quad \angle D = 90^\circ $$

Apply the Inscribed Quadrilateral Theorem

$$ LATEXBLOCK0 $$

Determine if a circle can be circumscribed

$$ \text{Opposite angles are supplementary} \implies \text{The quadrilateral is cyclic (can be circumscribed by a circle).} $$

Answer:

  • A. True (Correct answer)
  • B. False