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14. type your answer the correct way. do not include letters. do not le…

Question

  1. type your answer the correct way. do not include letters. do not leave spaces. 14. point j (-8, -12) is reflected over the x - axis. where is j’? (8,-12) 15. type your answer the correct way. do not include letters. do no leave spaces. 15. point w(-6, 7) is rotated 90° clockwise. where is w’?

Explanation:

Step1: Recall reflection rule over x - axis

When a point $(x,y)$ is reflected over the x - axis, the rule is $(x,y)\to(x, - y)$. Given point J$(-8,-12)$, applying the rule, the x - coordinate remains the same and the y - coordinate changes sign. So J' is $(-8,12)$.

Step2: Recall 90 - degree clockwise rotation rule

The rule for rotating a point $(x,y)$ 90 degrees clockwise about the origin is $(x,y)\to(y,-x)$. For point W$(-6,7)$, substituting $x = - 6$ and $y = 7$ into the rule, we get $W'=(7,6)$.

Answer:

  1. (-8,12)
  2. (7,6)