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Answer:
A)segment A"B"= AB / 2
Step-by-step explanation:
Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A"B"?
coordinate plane with triangle ABC at A(-3, 3), B(1, -3), and C(-3, -3)
A)segment A"B"= AB / 2
B)segment AB = segment A"B"/ 2
C)segment AB / segment A"B"= 1/2
D)segment A"B" / segment AB = 2
A"B" = AB / 2
Because
1. translations do not change the lengths of segments, so (x+2, y+0) preserves the length of AB, i.e. mA'B' = mAB
2. Dilation causes the new segment to be transformed to a new length according to the old length * the scale factor of (1/2).
Therefore A"B" = (1/2)AB, or AB/2.
