Question

Giving medal to best answer

Answer 1

In ΔABC shown below, is parallel to .


The 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.

Statement Reason
1. 1. Given
2. is a transversal that intersects two parallel lines. 2. Conclusion from Statement 1.
3. ∠ BDE ≅ ∠ BAC 3. Corresponding Angles Postulate
4. 4.
5. 5.
6. 6. Converse of the Side-Side-Side Similarity Theorem

Which statement and reason accurately completes the proof? (5 points)


4. ΔBDE ~ ΔBAC; Side-Angle-Side (SAS) Similarity Postulate
5. ∠ B ≅ ∠ B; Reflexive Property of Equality
4. ∠ B ≅ ∠ B; Reflexive Property of Equality
5. ΔBDE ~ ΔBAC; Angle-Angle (AA) Similarity Postulate
4. ΔBDE ~ ΔBAC; Side-Angle-Side (SAS) Similarity Postulate
5. ∠ A ≅ ∠ C; Isosceles Triangle Theorem
4. ∠ A ≅ ∠ C; Isosceles Triangle Theorem
5. ΔBDE ~ ΔBAC; Angle-Angle (AA) Similarity Postulate

Answer 2

@iGreen

Answer 3

@ganeshie8