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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 Simi

Which reason can be used to fill in the numbered blank space? (5 points)

Respuesta :

akposevictor

The statement and reason that completes the flowchart proof are:

1. ∠BDE ≅ ∠BAC

2. Corresponding angles postulate.

What is the Corresponding Angles Postulate?

The corresponding angles postulate states that two angles that correspond to each other are congruent angles.

In the flowchart proof, angles BDE and BAC are corresponding angles, therefore they are congruent by the corresponding angles postulate.

Therefore, the missing statement and reason are:

1. ∠BDE ≅ ∠BAC

2. Corresponding angles postulate.

Learn more about the corresponding angles postulate on:

https://brainly.com/question/23478014

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