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CD bisects ∠ACB. Which statements must be true? Check all that apply. AD = BD AC = CD m∠ACD = m∠BCD m∠CDA = m∠CDB m∠DCA = m∠DAC

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The Answers are the first, third, and fourth options on edg.

GIven: CD bisects ∠ACB.

Solution: When a line bisects an angle the angle is being divided into two equal parts.

1. AD= BD → False , ∵ CD bisects ∠ACB not side AB.

2. AC = CD → False ∵ One is a side and another is angle bisector.No information is given about them.

3.  ∠ACD = ∠BCD → True, As CD bisects ∠ACB.

4. ∠CDA = ∠CDB→ False ,CD is not perpendicular bisector then only these two angles can be equal.

5. ∠DCA = ∠DAC → False , No, information given about the triangle ABC apart from CD bisects ∠ACB.

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