Mathematics, 14.11.2020 01:50, 727
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
Answers: 2
Mathematics, 21.06.2019 13:30, 4tazaouiamine1r
Apublic library wants to place 4 magazines and 9 books on each display shelf. the expressions 4s +9s represents the total number of items that will be displayed on s shelves. simplify this expression
Answers: 3
Mathematics, 21.06.2019 20:00, Kalle91106
Can someone factor this fully? my friend and i have two different answers and i would like to know if either of them is right. you in advance. a^2 - b^2 + 25 + 10a
Answers: 1
In ΔABC shown below, BD over BA equals BE over BC:
Triangle ABC with segment DE intersecting sides...
Mathematics, 28.05.2020 04:02
Mathematics, 28.05.2020 04:02
Mathematics, 28.05.2020 04:02
History, 28.05.2020 04:02
Social Studies, 28.05.2020 04:02
Biology, 28.05.2020 04:02
History, 28.05.2020 04:02
Mathematics, 28.05.2020 04:02