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Mathematics, 08.12.2021 21:20 245cat
In ΔABC shown below, is parallel to :
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:
Statement
Reason
1.
1. Given
2. is a transversal that intersects two parallel lines.
2. Conclusion from Statement 1.
3.
3.
4. ∠B ≅ ∠B
4. Reflexive Property of Equality
5.
5.
6.
6. Converse of the Side-Side-Side Similarity Theorem
Which statement and reason accurately completes the proof? (5 points)
3. ∠BDE ≅ ∠BAC; Corresponding Angles Postulate
5. ΔBDE ∼ ΔBAC; Angle-Angle (AA) Similarity Postulate
3. ΔBDE ∼ ΔBAC; Corresponding Angles Postulate
5. ∠BDE ∼ ∠BAC; Angle-Angle (AA) Similarity Postulate
3. ∠BDE ≅ ∠BAC; Congruent Angles Postulate
5. ΔBDE ∼ ΔBAC; Angle-Angle (AA) Similarity Postulate
3. ∠BDE ≅ ∠BAC; Congruent Angles Postulate
5. ΔBDE ∼ ΔBAC; Side-Angle-Side (SAS) Similarity Postulate
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In ΔABC shown below, is parallel to :
The following two-column proof with missing statements and r...
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