subject
Mathematics, 13.12.2021 19:40 CJohnson9552

In ΔABC shown below, BD over BA equals BE over BC: Triangle ABC with segment DE intersecting sides AB and BC respectively.

The following flowchart proof with missing statements and reasons proves that if a line intersects two sides of a triangle and divides these sides proportionally, the line is parallel to the third side:

Top path, by Given the ratio of line segments BD to BA is equal to the ratio of line segments BE to BC. By Side Angle Side Similarity Postulate, triangle ABC is similar to triangle DBE. By Corresponding Parts of Similar Triangles, angle BDE is congruent to angle BAC. By Converse of the Corresponding Angles Postulate, line segment DE is parallel to line segment AC. Bottom path, by space labeled as 2, space labeled by 1 occurs. By Side Angle Side Similarity Postulate, triangle ABC is similar to triangle DBE. By Corresponding Parts of Similar Triangles, angle BDE is congruent to angle BAC. By Converse of the Corresponding Angles Postulate, line segment DE is parallel to line segment AC.

Which reason can be used to fill in the numbered blank space?

1. ∠A ≅ ∠A
2. Reflexive Property of Equality
1. ∠A ≅ ∠B
2. Corresponding Parts of Similar Triangles
1. ∠A ≅ ∠B
2. Corresponding Angles Postulate
1. ∠B ≅ ∠B
2. Reflexive Property of Equality

ansver
Answers: 1

Another question on Mathematics

question
Mathematics, 21.06.2019 17:30
40 describe the outliers from the scatter plot.
Answers: 1
question
Mathematics, 21.06.2019 18:20
What value of x is in the solution set of 4x - 12 s 16 + 8x? -10 -9 -8 -7
Answers: 1
question
Mathematics, 21.06.2019 19:30
In the geometric progression –3, 12, −48… what term is 3,072?
Answers: 2
question
Mathematics, 21.06.2019 20:50
What is the 9th term in the geometric sequence described by this explicit formula? an=-6. (2)(n-1) apex
Answers: 2
You know the right answer?
In ΔABC shown below, BD over BA equals BE over BC: Triangle ABC with segment DE intersecting sides...
Questions
Questions on the website: 13722361