Find the Error Roberto is finding the coordinates of the image of a triangle with vertices A(1, 1), B(4, 1) and C(1, 5) after a reflection over the x-axis. Describe his mistake and correct it.

Persevere with Problems Triangle JKL has vertices J(-7, 4), K(7, 1), and L(2, -2). Without graphing, find the new coordinates of the vertices of the triangle after a reflection first over the x-axis and then over the y-axis.

Reason Inductively Suppose you reflect a triangle in Quadrant I over the y-axis, then translate the image 2 units left and 3 units down. Is there a single transformation that maps the preimage onto the image? Explain your reasoning.

Reason Inductively Suppose you reflect a non-regular figure over the x-axis and then reflect it over the y-axis. Is there a single transformation using reflections or translations that maps the preimage onto the image? Explain your reasoning.

Which One Doesn’t Belong? Triangle ABC has vertices A(1, 2), B(1, 5), and C(4, 2) and undergoes a transformation. Choose the set of vertices that does not belong. Explain your reasoning.