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.

Question

KarbonN644811 KarbonN644811

29-10-2022
Mathematics

contestada

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.

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AylianaZ700858 AylianaZ700858 · Answer 1 · 2022-10-29T16:31:36+02:00

The Solution:

Given the figure in the Question Section.

We are required to prove that:

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

So, it follows that

[tex]\Delta ABC\cong\Delta\text{ADC Reason: AAS}[/tex]