Question

○ c. (3,5)
● d. (9,15)

after rotating a point (7,5) 180 degrees around the origin, where will it be located?
○ a. (-7, -5)
○ b. (-7,5)
○ c. (7, -5)
○ d. (5, -7)

Explanation:

Step1: Recall 180° rotation rule

For a point \((x, y)\) rotated 180° around the origin, the new coordinates are \((-x, -y)\).

Step2: Apply the rule to \((7, 5)\)

Here, \(x = 7\) and \(y = 5\). So the new \(x\)-coordinate is \(-7\) and the new \(y\)-coordinate is \(-5\). The rotated point is \((-7, -5)\).

Answer:

a. \((-7, -5)\)