6. AD=AD
7. Triangle ABD is congruent to triangle ACD by SAS congruence theorem.
Reason: Triangle ABD and triangle ACD have two sides and the included angle congruent.
8. Angle ABD = angle ACD.
Reason: Corresponding parts of congruent triangles are congruent.
9. Triangle ABC is isosceles.
Reason: BD = CD and angle ABD = angle ACD imply that triangle ABC is isosceles.
10. Triangle ABC is equilateral.
Reason: Triangle ABC is isosceles and has all three sides congruent.
Your teacher will grade your
responses for questions 7–15, to
ensure that you receive proper
credit for your answers.
Supply the reasons missing from
the proof shown below.
4. Triangle BAD = CAD
5. BD = CD
1 answer
1 answer