Consider the proof.

Given: Segment AB is parallel to line DE.
Prove: AD/DC = BE/EC

What is the missing statement in Step 5?

A.) AC = BC
B.) AC/DC = BC/EC
C.) AD = BE
D.) AD/DC = BE/EC

Consider the proof Given Segment AB is parallel to line DE Prove ADDC BEEC What is the missing statement in Step 5 A AC BC B ACDC BCEC C AD BE D ADDC BEEC class=
Consider the proof Given Segment AB is parallel to line DE Prove ADDC BEEC What is the missing statement in Step 5 A AC BC B ACDC BCEC C AD BE D ADDC BEEC class=

Respuesta :

Answer:

the answer is B;)

Step-by-step explanation:

From the proof, we are given that segment AB is parallel to line DE

The missing statement in Step 5 according to the similarity theorem of a triangle is AC/DC = BC/EC: Option B is correct.

  • We are to find the required missing step in the proof.

  • According to the given reason in step 5 which is the defintiion of similar triangles.

According to similar triangles, the ratio of the similar sides and angles of both triangles is equal to a constant.

The correct proof based on the definition is to take the ratio of the similar sides of the triangles to give AC/DC = BC/EC

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