Examples 1 and 2 1. Triangle $$ X Y Z $$ has vertices $$ X(0,2), Y(4,4) $$, and $$ Z(3,-1) $$. Graph $$ riangle X Y Z $$ and its image after a rotation of $$ 180^{\circ} $$ counterclockwise about $$ Z $$.

Question

Examples 1 and 2 1. Triangle $$ X Y Z $$ has vertices $$ X(0,2), Y(4,4) $$, and $$ Z(3,-1) $$. Graph $$ 	riangle X Y Z $$ and its image after a rotation of $$ 180^{\circ} $$ counterclockwise about $$ Z $$.

Owen Barnett · Accepted Answer

To graph triangle $$ XYZ $$ and its image after a $$ 180^\circ $$ counterclockwise rotation about point $$ Z $$, plot the vertices $$ X(0, 2), Y(4, 4), Z(3, -1) $$. Rotate $$ X $$ to $$ X'(6, -4) $$, $$ Y $$ to $$ Y'(2, -6) $$, and $$ Z $$ remains at $$ (3, -1) $$. Plot the rotated triangle $$ X'Y'Z $$.

Examples 1 and 2 1. Triangle \( X Y Z \) has vertices \( X(0,2), Y(4,4) \), and \( Z(3,-1) \). Graph \( \triangle X Y Z \) and its image after a rotation of \( 180^{\circ} \) counterclockwise about \( Z \).

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Examples 1 and 2 1. Triangle \( X Y Z \) has vertices \( X(0,2), Y(4,4) \), and \( Z(3,-1) \). Graph \( \triangle X Y Z \) and its image after a rotation of \( 180^{\circ} \) counterclockwise about \( Z \).

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