Given: ZCAB = ZBCA
Mathematics, 28.02.2020 19:35 breezer20042
Complete this proof of the converse of the isosceles triangle theorem.
Given: ZCAB = ZBCA
Construct: BD 1 AC
Prove: AABC is isosceles
Statement
Reason
given
ZCAB = ZBCA
BD1AC
by construction
ZBDA E ZBDC
right angles are congruent
BD = BD
reflexive property
SABD = ACBD
AB = CB
definition of congruent triangles
AABC is isosceles
definition of isosceles triangle
A. SAS congruence
B. SSA congruence
C. SSS congruence
D. AAS congruence
Answers: 2
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Complete this proof of the converse of the isosceles triangle theorem.
Given: ZCAB = ZBCA
Given: ZCAB = ZBCA
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