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Triangle A"B"C" is the image of triangle ABC after a sequence of transformations. Which sequence of tranformations could have been applied?

Triangle A"B"C" is the image of triangle ABC after a sequence of transformations-example-1

2 Answers

2 votes
The answer is A
ABC is translated 1 unite to the right then rotated 180 Clockwise about the original
User DotcomXY
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9.1k points
5 votes

Answer:

The correct option is C.

Explanation:

From the given figure it is clear that the vertices of figure ABC are A(-2,2), B(0,5) and C(2,2).

The vertices of figure A''B''C'' are A''(0,-2), B''(-2,-5) and C''(-4,-2).

If a figure translated two units right then


(x,y)\rightarrow (x+2,y)


A(-2,2)\rightarrow A'(0,2)


B(0,5)\rightarrow B'(2,5)


C(2,2)\rightarrow C'(4,2)

After that the figure rotated 180° clockwise about the origin.


(x,y)\rightarrow (-x,-y)


A'(0,2)\rightarrow A''(0,-2)


B'(2,5)\rightarrow B''(-2,-5)


C'(4,2)\rightarrow C''(-4,-2)

Therefore ΔABC translated 2 units right, then rotated 180° clockwise about the origin.

Hence the correct option is C.

User Andras Kloczl
by
9.1k points
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