subject
Mathematics, 10.06.2020 00:57 onlyceleste212

Pls answer fast. ill give brainliest to the correct answer 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 19:00
What is the percentile for data value 6 in the following data set? 4 13 8 6 4 4 13 6 4 13 2 13 15 5 9 4 12 8 6 13 40 25 35 62
Answers: 2
question
Mathematics, 21.06.2019 19:50
Which of the following describes the graph of y--4x-36 compared to the parent square root function? stretched by a factor of 2, reflected over the x-axis, and translated 9 units right stretched by a factor of 2, reflected over the x-axis, and translated 9 units left stretched by a factor of 2, reflected over the y-axis, and translated 9 units right stretched by a factor of 2, reflected over the y-axis, and translated 9 units left save and exit next submit
Answers: 1
question
Mathematics, 21.06.2019 23:00
Which equation is equivalent to the given expression? -(1/2y+1/4) a. -1/4(1+2y) b. 1/4(2y-1) c. -2(1/4y-1/8) d. 2(1/8-1/4y)
Answers: 1
question
Mathematics, 22.06.2019 06:00
Lines a and b are perpendicular. the equation of line a is y=13x+3. what is the equation of line b?
Answers: 1
You know the right answer?
Pls answer fast. ill give brainliest to the correct answer In ΔABC shown below, BD over BA equals B...
Questions
question
Mathematics, 09.10.2019 05:00
question
Mathematics, 09.10.2019 05:00