Question

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. 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. 3.
4. 4.
5. ΔABC ~ ΔDBE 5. Angle-Angle (AA) Similarity Postulate
6. BD over BA equals BE over BC 6. Converse of the Side-Side-Side Similarity Theorem

Answer 1

Are there choices?

Answer 2

oh okay let me try

Answer 3

3. ∠BDE ≅ ∠BAC; Corresponding Angles Postulate
4. ∠A ≅ ∠C; Isosceles Triangle Theorem

3. ∠BDE ≅ ∠BAC; Alternate Interior Angles Theorem
4. ∠A ≅ ∠C; Isosceles Triangle Theorem

3. ∠BDE ≅ ∠BAC; Corresponding Angles Postulate
4. ∠B ≅ ∠B; Reflexive Property of Equality

3. ∠BDE ≅ ∠BAC; Alternate Interior Angles Theorem
4. ∠B ≅ ∠B; Reflexive Property of Equality

Answer 4

i got the last one

Answer 5

What did you get?

Answer 6

. ∠BDE ≅ ∠BAC; Alternate Interior Angles Theorem
4. ∠B ≅ ∠B; Reflexive Property of Equality

Answer 7

lol i dont remember X"D sorry tag some qualified helpers though

Answer 8

okay thanks tho

Answer 9

np :)