Question

rotations & dilation practice l
directions—for each set of points below, perform the rotation and record the resulting coordinates.

(2, 5)	a
(6, 7)	b
(9, 5)	c
(6, 2)	d

from abcd to abcd
degree of rotation:
180°
rule (x, y): (□, □)
a (□, □)
b (□, □)
c (□, □)
d (□, □)

Explanation:

Step1: Recall 180° rotation rule

The rule for rotating a point \((x, y)\) 180° about the origin is \((x, y) \to (-x, -y)\).

Step2: Rotate point A(2, 5)

For \(A(2, 5)\), apply the rule: \(x = 2\), \(y = 5\), so \(A'(-2, -5)\).

Step3: Rotate point B(6, 7)

For \(B(6, 7)\), apply the rule: \(x = 6\), \(y = 7\), so \(B'(-6, -7)\).

Step4: Rotate point C(9, 5)

For \(C(9, 5)\), apply the rule: \(x = 9\), \(y = 5\), so \(C'(-9, -5)\).

Step5: Rotate point D(6, 2)

For \(D(6, 2)\), apply the rule: \(x = 6\), \(y = 2\), so \(D'(-6, -2)\).

Answer:

Rule \((x, y)\): \((-x, -y)\)
\(A'(-2, -5)\)
\(B'(-6, -7)\)
\(C'(-9, -5)\)
\(D'(-6, -2)\)