Question

sketch the figure and its image under the given reflection. 2. abc with a(-1, 5), b(5, 3) and c(2, - 1) in the origin. a = 1,-5 b = -5,-3 c = -2,1

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ in the origin is $(x,y)\to(-x,-y)$.

Step2: Find $A'$

For point $A(-1,5)$, applying the rule: $x=-1,y = 5$, so $A'=( -(-1),-5)=(1,-5)$.

Step3: Find $B'$

For point $B(5,3)$, with $x = 5,y=3$, then $B'=(-5,-3)$.

Step4: Find $C'$

For point $C(2,-1)$, where $x = 2,y=-1$, so $C'=(-2,1)$.

Answer:

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