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Which transformations map ABC to A’B’C in the image above? USE COORDINATE NOTATION

Which transformations map ABC to A’B’C in the image above? USE COORDINATE NOTATION-example-1
User Frank Wang
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1 Answer

6 votes

we have the coordinates

A(0,0), B(1,-2), C(6,-2)

First transformation

A dilation with a scale factor of 2 about the origin

The rule of this transformation is equal to

(x,y) -----> (2x,2y)

Applying the rule

A(0,0) -------> A'' (0,0)

B(1,-2) ------> B''(2,-4)

C(6,-2) -----> C''(12,-4)

Second transformation

A reflection over the x-axis

The rule of this transformation is equal to

(x,y) ------> (x,-y)

Applying the rule

A'' (0,0) ------> A'(0,0) is ok

B''(2,-4) ------> B'(2,4) is ok

C''(12,-4) -----> C'(12,4) is ok

therefore

The answer is

A dilation with a scale factor of 2 about the origin and a reflection over the x-axis

or

A reflection over the x-axis and dilation with a scale factor of 2 about the origin

User Cricketer
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