Mathematics, 04.11.2020 01:00 Drevei6969
In ΔABC shown below, segment DE is parallel to segment AC :
The following two-column proof with missing statements and reasons proves that if a line parallel to one side of a triangle also intersects the other two sides, the line divides the sides proportionally:
Which statement and reason accurately completes the proof? (5 points)
a
4. ΔBDE ∼ ΔBAC; Side-Angle-Side (SAS) Similarity Postulate
5. ∠B ≅ ∠B; Reflexive Property of Equality
b
4. ∠B ≅ ∠B; Reflexive Property of Equality
5. ΔBDE ∼ ΔBAC; Angle-Angle (AA) Similarity Postulate
c
4. ΔBDE ∼ ΔBAC; Side-Angle-Side (SAS) Similarity Postulate
5. ∠A ≅ ∠C; Isosceles Triangle Theorem
d
4. ∠A ≅ ∠C; Isosceles Triangle Theorem
5. ΔBDE ∼ ΔBAC; Angle-Angle (AA) Similarity Postulate
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In ΔABC shown below, segment DE is parallel to segment AC :
The following two-column proof with mis...
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