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Choose the explanation that shows why ΔADE is similar to ΔABC.

A. A dilation with center (0, 0) and scale factor 1/2 maps ΔABC to ΔADE.
B. A dilation with center (0, 0) and scale factor 2 maps ΔABC to ΔADE.
C. A translation 4 units right and 4 units up maps ΔABC to ΔADE.
D. A rotation 90° about the origin and a translation 2 units up maps ΔABC to ΔADE.

Choose the explanation that shows why ΔADE is similar to ΔABC A A dilation with center 0 0 and scale factor 12 maps ΔABC to ΔADE B A dilation with center 0 0 an class=

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doyouneedhelp
Hello,

First of all,
C. and D. are both incorrect because they apply translations to ABC; translations will misalign ADE with ABC.

Next,
A. is incorrect because a dilation of 1/2 will place D at (0,3) from its original point of (0,2). Also, the dilation will place E at (6,0) from its original point of (4,0). The triangle ADE would be too small to map ABC.

Finally,

B. Is the correct answer because a dilation of 2 will place D at (0,4)—where B is—and will place E at (8,0), where C is.
Choice B. maps ADE onto ABC

Sorry for that much information, but I think it’s useful. XD

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