Question

question 5
what is the rule for a 180° rotation about the origin?
$(x,y)\to(y,-x)$
$(x,y)\to(-y,x)$
$(x,y)\to(x,-y)$
$(x,y)\to(-x,-y)$
question 6
triangle $abc$ with coordinates $a(2,3),b(4,3),c(3,5)$ is reflected across the $x$-axis.
what are the coordinates of $b$?
$()$
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Explanation:

Step1: Recall the rule for reflection across the x - axis

The rule for reflecting a point \((x,y)\) across the \(x\) - axis is \((x,y)\to(x, - y)\).

Step2: Apply the rule to point \(B(4,3)\)

For point \(B\) with \(x = 4\) and \(y=3\), using the rule \((x,y)\to(x, - y)\), we substitute \(x = 4\) and \(y = 3\) into the formula.
We get \((4,3)\to(4,-3)\)

Answer:

\((4,-3)\)