Question

question 1 - 3
△abc has vertices a(-2, 1), b(3, 2) and c(5, -1). what are the coordinates of the vertices of △abc after a rotation of 180° clockwise about the origin?
a(2, -1), b(-3, -2), c(-5, 1)
a(-2, -1), b(-3, -2), c(-5, 1)
a(-2, -1), b(-3, -2), c(-5, -1)
a(2, 1), b(3, 2), c(5, 1)

Explanation:

Step1: Recall rotation rule

The rule for a 180 - degree clockwise rotation about the origin is $(x,y)\to(-x,-y)$.

Step2: Apply rule to point A

For point A(-2, 1), using the rule $(x,y)\to(-x,-y)$, we get $A'=( -(-2),-1)=(2,-1)$.

Step3: Apply rule to point B

For point B(3, 2), using the rule $(x,y)\to(-x,-y)$, we get $B'=(-3,-2)$.

Step4: Apply rule to point C

For point C(5, - 1), using the rule $(x,y)\to(-x,-y)$, we get $C'=(-5,1)$.

Answer:

A. $A'(2,-1),B'(-3,-2),C'(-5,1)$