Mathematics
Mathematics, 30.11.2020 21:30, jonesnr10

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

answer
Answers: 3

Other questions on the subject: Mathematics

image
Mathematics, 21.06.2019 16:00, joe1591
Plzzz i beg u so much asap ! what is the slope of this line? enter your answer in the box.
Answers: 1
image
Mathematics, 21.06.2019 18:30, angelina6836
Anormally distributed data set has a mean of 176.3 and a standard deviation of 4.2. what is the approximate z-score for the data value of 167.9? 2.00 −2.00 8.4 −8.4
Answers: 2
image
Mathematics, 21.06.2019 19:40, Suzispangler2264
What happens to the area as the sliders are adjusted? what do you think the formula for the area of a triangle is divided by 2?
Answers: 1
image
Mathematics, 21.06.2019 21:30, memo1102
Three people are traveling and need to exchange the currency of their native country for the currency of the country they are visiting. drag each exchange to the category that shows the ratio of currencies in that exchange.
Answers: 2
Do you know the correct answer?
In ΔABC shown below, BD over BA equals BE over BC: Triangle ABC with segment DE intersecting sides...

Questions in other subjects:

Konu
Chemistry, 16.10.2020 19:01
Konu
Mathematics, 16.10.2020 19:01