What can we conclude about the triangles on the line shown below?

Conclusion :

The correct option is B

Triangles are similar and they have the same slope.

Step-by-step explanation:

Given:

BC || FE

BA || DE

CA || DF

Conclusion: ?

Explanation:

In  Δ ABC and Δ DEF

∠B ≅ ∠E      {measure of each angle is 90° }

∠C ≅ ∠F    ………{alternate angles equal  since BC || FE}    

Δ ABC ~ Δ DEF ….{Angle-Angle  Similarity test}

Also we know that parallel lines have slopes equal

Therefore,

BC || FE

BA || DE

CA || DF

Conclusion :

The correct option is B

Triangles are similar and they have the same slope.

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step-by-step explanation: