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′(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 2 comma 1 right parenthesis , upper B prime left parenthesis 6 comma 3 right parenthesis , and upper C prime left parenthesis 1 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′(−1,3) , and C′(−6,3) .

Answer 1

To reflect triangle ABC with vertices A(x1, y1), B(x2, y2), and C(x3, y3) across the x-axis and the y-axis, we apply the following transformations to each vertex:

1. Reflection across the x-axis: The y-coordinate changes sign. Therefore:

   • A(x1, y1) becomes A(x1, -y1)
   • B(x2, y2) becomes B(x2, -y2)
   • C(x3, y3) becomes C(x3, -y3)

2. Reflection across the y-axis: The x-coordinate changes sign. Therefore:

   • A(x1, -y1) becomes A(-x1, -y1)
   • B(x2, -y2) becomes B(-x2, -y2)
   • C(x3, -y3) becomes C(-x3, -y3)

From this, the final reflected coordinates for the vertices A', B', and C' are:

• A'(-x1, -y1)
• B'(-x2, -y2)
• C'(-x3, -y3)

Given the responses listed in your question, we need to find which of these is the correct reflection of triangle ABC.

Without the original coordinates of the triangle ABC provided, we cannot give specific answers. However, we can analyze the options:

1. A′(−2,1) , B′(−6,3) , C′(−1,3)
2. A′(2,1) , B′(6,3) , C′(1,3)
3. A′(−2,−1) , B′(−6,−3) , C′(−1,−3)
4. A′(−2,1) , B′(−1,3) , C′(−6,3)

To find the correct answer, we would need to check if the transformation has been applied correctly to the coordinates of triangle ABC. Can you provide the original coordinates of triangle ABC?

Answer 2

A is (2, -1), B is (6, -3) and C is (1, -3)

Answer 3

Bot? can you answer?