Question

1. plot a(1, 0), b(3,2), c(5, 1), d(4, -1). reflect across the line y = x. give the coordinates of a’b’c’d’. 4. a’( )b’( )c’( )d’( )

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ across the line $y = x$, the coordinates change to $(y,x)$.

Step2: Find coordinates of $A'$

For point $A(1,0)$, after reflection, $A'=(0,1)$.

Step3: Find coordinates of $B'$

For point $B(3,2)$, after reflection, $B'=(2,3)$.

Step4: Find coordinates of $C'$

For point $C(5,1)$, after reflection, $C'=(1,5)$.

Step5: Find coordinates of $D'$

For point $D(4, - 1)$, after reflection, $D'=(-1,4)$.

Answer:

$A'(0,1), B'(2,3), C'(1,5), D'(-1,4)$