Please help with geometry proofs
Given: ∆ABC is an isosceles triangle where AB = BC
Pr...
Mathematics, 21.12.2021 01:00 seider7997
Please help with geometry proofs
Given: ∆ABC is an isosceles triangle where AB = BC
Prove: m∠BAC = m∠BCA
Statement Reason
1. Let ∆ABC be an isosceles
triangle where AB = BC. given
2. Create point D on side so
that bisects ∠ABC as shown.
constructing an angle bisector
3. m∠ABD = m∠CBD
4. BD = BD Reflexive Property of Equality
5. ∆ABD ≅ ∆CBD SAS
6. m∠BAC = m∠BCA Corresponding angles of congruent triangles have equal measures.
What is the reason for statement 3 in this proof?
A.
definition of angle bisector
B.
Alternate Interior Angles Theorem
C.
Corresponding Angles Theorem
D.
Corresponding angles of congruent triangles are congruent.
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