Question

Use the image to answer the question. Reflect triangle ABC with respect to the x -axis and the y -axis. What are the vertices of triangle A′B′C′ ? (1 point) Responses The vertices of triangle A′B′C′ are A′(−2,1) , B′(−6,3) , and C′(−1,3) . The vertices of triangle upper A prime upper B prime upper C prime are upper A prime left parenthesis negative 2 comma 1 right parenthesis , upper B prime left parenthesis negative 6 comma 3 right parenthesis , and upper C prime left parenthesis negative 1 comma 3 right parenthesis . The vertices of triangle A′B′C′ are A′(−2,1) , B′(−1,3) , and C′(−6,3) . The vertices of triangle upper A prime upper B prime upper C prime are upper A prime left parenthesis negative 2 comma 1 right parenthesis , upper B prime left parenthesis negative 1 comma 3 right parenthesis , and upper C prime left parenthesis negative 6 comma 3 right parenthesis . The vertices of triangle A′B′C′ are A′(−2,−1) , B′(−6,−3) , and C′(−1,−3) . The vertices of triangle upper A prime upper B prime upper C prime are upper A prime left parenthesis negative 2 comma negative 1 right parenthesis , upper B prime left parenthesis negative 6 comma negative 3 right parenthesis , and upper C prime left parenthesis negative 1 comma negative 3 right parenthesis . The vertices of triangle A′B′C′ are A′(2,1) , B′(6,3) , and C′(1,3) .

Answer 1

To reflect triangle ABC with respect to the x-axis and the y-axis, we apply the following transformations to each vertex (x, y):

1. Reflection across the x-axis changes the coordinates to (x, -y).
2. Reflection across the y-axis changes the coordinates to (-x, -y).

To find the new vertices A', B', and C', we first need the original coordinates of A, B, and C. Without that information, we can only provide the steps to find the new coordinates.

Assuming that you have the original coordinates for triangle ABC:

• Reflect the original coordinates across the x-axis.
• Then, reflect those results across the y-axis.

If you provide the original vertices of triangle ABC, I can help determine the vertices of triangle A'B'C'.