If ΔABC is dilated from point A by a scale factor of one half which of the following equations is true about segment D prime E prime? Triangle ABC is shown with point D lying on side BC and point E lying on side AC. Line DE is perpendicular to side AC.

segment D prime E prime = one half segment DE
segment D prime E prime = two segment DE
segment D prime E prime = segment DE
segment D prime E prime = three segment DE

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step-by-step explanation:

correct answer is b. 27/8

step-by-step explanation:

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: