Can someone me answer these questions
triangle efg in which segment ef measures 3 units and segment fg measures 5 units
in δefg, is it possible for segment ge to measure 9 units?
yes, because 3 + 5 > 9, 5 + 9 > 3, and 9 + 3 > 5
no, because 3 + 5 > 9, 5 + 9 > 3, and 9 + 3 > 5
yes, because 3 + 5 < 9, 5 + 9 > 3, and 9 + 3 > 5
no, because 3 + 5 < 9, 5 + 9 > 3, and 9 + 3 > 5
in δabc shown below, line segment ab is congruent to line segment bc:
triangle abc, where sides ab and cb are congruent
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?
δdab ≅ δdbc
δabd ≅ δabc
δabc ≅ δcbd
δabd ≅ δcbd