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The vertices of / are Q(–4,0), P(–6, 7), and R(–2, 1). / is rotated 90° counterclockwise about the origin to form /. What are the coordinates of the vertices of /?

User Natalee
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2 Answers

7 votes

Answer:

The vertices of coordinates of image are Q'(0,-4), P'(-7,-6) and R'(-1,-2).

Explanation:

The vertices of triangle QPR are Q(–4,0), P(–6, 7), and R(–2, 1). It is rotated 90° counterclockwise about the origin to form a new triangle Q'P'R'.

If a figure rotated 90° counterclockwise about the origin, then


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

The coordinated of image are


Q(-4,0)\rightarrow Q'(0,-4)


P(-6,7)\rightarrow P'(-7,-6)


R(-2,1)\rightarrow R'(-1,-2)

Therefore the vertices of coordinates of image are Q'(0,-4), P'(-7,-6) and R'(-1,-2).

User Sheraz
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8.3k points
6 votes
Q’(0, –4), P’(–7, –6), R’(–1, –2)
User Edgar Olivar
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8.1k points

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