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In the figure below, segment AC is congruent to segment AB:

Triangle ABC with a segment joining vertex A to point D on side BC. Side AB is congruent to side AC

Which statement is used to prove that angle ABD is congruent to angle ACD?

In the figure below segment AC is congruent to segment AB Triangle ABC with a segment joining vertex A to point D on side BC Side AB is congruent to side AC Whi class=

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alexandrakevelier

the answer is A. segment AD bisects angle CAB. I just took the exam and I got it right. hope this helps!

JeanaShupp

Answer: Isosceles  triangle theorem

Step-by-step explanation:

In the given picture, there a triangle whose two sides are equal AB=AC.

Therefore it is an isosceles triangle.

Now, the isosceles theorem says that the angles opposite to the equal sides of a triangle are equal.

Therefore by isosceles triangle theorem in ΔABC we have

[tex]\angle{B}=\angle{C}[/tex]

Since [tex]\angle{ACD}=\angle{C}[/tex] [Reflexive]

[tex]\angle{ABD}=\angle{B}[/tex] [Reflexive]

Therefore, [tex]\angle{ACD}=\angle{ABD}=[/tex]

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