Question
Use the illustration to answer the question.
An illustration of a coordinate plane with four quadrants shows the x-axis extending from negative 9 to 9 in increments of 1 and the y-axis extending from negative 11 to 11 in increments of 1. A triangle A B C is plotted on the graph. The triangle A B C has its vertices marked with closed points at A (2, -1), B (6, -3), and C (1, -3).
Reflect triangle A B C with respect to the x -axis and the y -axis. What are the vertices of triangle A′B′C′ ?
An illustration of a coordinate plane with four quadrants shows the x-axis extending from negative 9 to 9 in increments of 1 and the y-axis extending from negative 11 to 11 in increments of 1. A triangle A B C is plotted on the graph. The triangle A B C has its vertices marked with closed points at A (2, -1), B (6, -3), and C (1, -3).
Reflect triangle A B C with respect to the x -axis and the y -axis. What are the vertices of triangle A′B′C′ ?
Answers
GPT 3.5
When a triangle is reflected across the x-axis, the y-coordinates of its vertices are multiplied by -1. Therefore, the vertex A' would be located at (2, 1). Similarly, the y-coordinates of vertices B and C would be multiplied by -1, resulting in B' being located at (6, 3) and C' at (1, 3). Therefore, the vertices of triangle A'B'C' are A' (2, 1), B' (6, 3), and C' (1, 3).