subject
Mathematics, 02.12.2020 23:00 dianacastro8298

PLEASE HELP In ΔABC shown below, segment DE is parallel to segment AC:

Triangles ABC and DBE where DE is parallel to AC

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

ansver
Answers: 1

Another question on Mathematics

question
Mathematics, 21.06.2019 16:00
To make a monster appear large in a movie, a human actor wore a costume and walked through a scale model of a city. the scale used was 1 inch = 15 feet. the actor is 60 inches tall. how tall does the monster appear in the movie? question 5 options: 720 feet 75 feet 4 feet 900 feet
Answers: 2
question
Mathematics, 21.06.2019 23:40
Find the amplitude of a sinusoidal function that models this temperature variation
Answers: 2
question
Mathematics, 22.06.2019 06:00
Kelly walks 0.7 mile to school. mary walks 0.49 mile to school. write an inequality using < ,> , or = to compare the distances they walk to school.
Answers: 1
question
Mathematics, 22.06.2019 09:00
The identity function i behaves just like the number 1. that is (f o i)=f and (i o g)= g it is also true that for a function k, (k o k^-1)=i use this information and algebra to solve h= (f o g) for f any insight would be !
Answers: 1
You know the right answer?
PLEASE HELP In ΔABC shown below, segment DE is parallel to segment AC:

Triangles ABC an...
Questions
question
Mathematics, 29.11.2019 11:31
question
Social Studies, 29.11.2019 11:31
question
Geography, 29.11.2019 11:31
Questions on the website: 13722366