Mathematics, 07.04.2020 19:59 Daisysolis5191
In ΔABC shown below, segment DE is parallel to segment 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. Line segment DE is parallel to line segment AC 1. Given
2. Line segment AB 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. BD over BA equals BE over BC 6. 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, 21.06.2019 18:00, julliette27
What power can you write to represent the volume of the cube shown? write the power as an expression with a base and an exponent and then find the volume of the cube
Answers: 3
Mathematics, 21.06.2019 18:20, rishiganesh
The length of a rectangle plus its width is 25 cm. the area is 156 square cm. what are the length and width of the rectangle? separate the answers with a comma.
Answers: 3
In ΔABC shown below, segment DE is parallel to segment The following two-column proof with missing s...
Mathematics, 05.05.2020 03:16
Chemistry, 05.05.2020 03:16
Mathematics, 05.05.2020 03:16
Mathematics, 05.05.2020 03:16
History, 05.05.2020 03:16
Biology, 05.05.2020 03:16