Wade Summers
08/10/2023 · Junior High School
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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To graph triangle \( XYZ \), plot the vertices \( X(0,2) \), \( Y(4,4) \), and \( Z(3,-1) \). For the image after a \( 180^{\circ} \) rotation about \( Z \), rotate each vertex using the formula \( (2h - x, 2k - y) \) and plot the new vertices \( X'(6, -4) \), \( Y'(2, -6) \), and \( Z'(3, -1) \).
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