Mathematics, 11.06.2020 18:57 ike9264
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:
StatementReason
1. Line segment DE is parallel to line segment AC1. Given
2. Line segment AB is a transversal that intersects two parallel lines.2. Conclusion from Statement 1.
3. ∠BDE ≅ ∠BAC3. Corresponding Angles Postulate
4.4.
5.5.
6. BD over BA equals BE over BC6. Converse of the Side-Side-Side Similarity Theorem
Which statement and reason accurately completes the proof?
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
Answers: 2
Mathematics, 22.06.2019 01:30, langel7373
Josie buys a pair of boots that retail for $52.00 dollars, however they are currently on sale for 25% off how much does josie pay for the boots if there is also a 6% sales tax on them
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The following two-column proof with missing statements and reasons proves that if a line parallel to...
Mathematics, 05.05.2020 17:16