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

Question

asked Dec 25, 2019 196k views

2 Answers

Andras Kloczl · Answer 1 · 2019-12-29T19:25:02+0000

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.