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In δabc shown below, line segment ab is congruent to line segment bc:
given: line segm...
Mathematics, 01.11.2019 00:31 joshajgaa
In δabc shown below, line segment ab is congruent to line segment bc:
given: line segment ab≅line segment bc
prove: the base angles of an isosceles triangle are congruent.
the two-column proof with missing statement proves the base angles of an isosceles triangle are congruent:
statement reason
1. segment bd is an angle bisector of ∠abc. 1. by construction
2. ∠abd ≅ ∠cbd 2. definition of an angle bisector
3. segment bd ≅ segment bd 3. reflexive property
4. 4. side-angle-side (sas) postulate
5. ∠bac ≅ ∠bca 5. cpctc
which statement can be used to fill in the numbered blank space?
a. δdab ≅ δdbc
b. δabd ≅ δabc
c. δabc ≅ δcbd
d. δabd ≅ δcbd
Answers: 1
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