Question

In ΔABC shown below, :

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:

Which reason can be used to fill in the numbered blank space?
A. 1. ∠A ≅ ∠A
2. Reflexive Property of Equality

B. 1. ∠A ≅ ∠B
2. Corresponding Parts of Similar Triangles

C. 1. ∠A ≅ ∠B
2. Corresponding Angles Postulate

D. 1. ∠B ≅ ∠B
2. Reflexive Property of Equality

Answer 1

answers D

Explanation:

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Answer 2

The answer is D.

Explanation:

Since B is involved in both of the triangles, it would make since. The angles of B are the same for each triangle because of the Reflexive Property of Equality.