Question

Given AC‾AC bisects ∠BCD∠BCD, complete the flowchart proof below. Note that the last statement and reason have both been filled in for you.

Answer 1

The Solution:

Given the figure in the Question Section.

We are required to prove that:

`\Delta ABC\cong\Delta\text{ADC}`
`AC\text{ bisects }\angle C\text{ (Reason: Given)}`
`\angle DCA\cong\angle BCA\text{ (Reason: AC bisects }\angle C`
`\angle B\cong\angle D\text{ (Reason: Congruent)}`
`BA\cong DA\text{ (Reason: Congruency)}`

So, it follows that

`\Delta ABC\cong\Delta\text{ADC Reason: AAS}`