Question

Rotate the line segment WX with endpoints W(-1, -5), X(-2, -3). Rotate 90 degrees Counter Clockwise around the point (-3, -5). State the coordinates of the vertices.

a) W(-4, -5), X(-5, -3)
b) W(-2, -4), X(-3, -5)
c) W(-4, -6), X(-5, -7)
d) W(-1, -6), X(-2, -7)

Answer 1

Rotating the line segment WX with endpoints W(-1, -5) and X(-2, -3) 90 degrees counterclockwise around the point (-3, -5), the transformed coordinates for W and X are W'(-3, -3) and X'(-5, -4), respectively. Thus, none of the provided options is correct.

Step-by-step explanation:

To rotate the line segment WX with endpoints W(-1, -5) and X(-2, -3) by 90 degrees counterclockwise around the point (-3, -5), we use rotation transformation rules. When we rotate a point (a, b) 90 degrees counterclockwise about a pivot point (p, q), the new position of the point is given by (p - (b - q), q + (a - p)). Applying the transformation to point W: For W(-1, -5), the rotated position W' is (-3 - (-5 + 5), -5 + (-1 + 3)) = (-3, -3), which simplifies to W'(-3, -3). Applying the transformation to point X: For X(-2, -3), the rotated position X' is (-3 - (-3 + 5), -5 + (-2 + 3)) = (-5, -4), which simplifies to X'(-5, -4). Therefore, after rotating the line segment, the coordinates of the vertices are W'(-3, -3) and X'(-5, -4), which means none of the given options (a, b, c, d) is correct.