Question

Triangle ABC, with vertices A(3, 0), B(2, 4), and C(4, 2), undergoes a transformation to form triangle A′B′C′, with vertices A′(3, 0), B′(2, -4), and C′(4, -2). The type of transformation that triangle ABC undergoes is a . If triangle A′B′C′ undergoes a transformation to form triangle A″B″C″, with vertices A″(-3, 0), B″(-2, -4), and C″(-4, -2), then the type of transformation that triangle A′B′C′ undergoes is a .

Answer 1

the triangle ABC undergoes "reflecting over the X-axis to become A'B'C'

the triangle A'B'C' undergoes "reflecting over the y-axis to become A"B"C"

Explanation:

if you reflect over the X-axis, the X values stay the same, as reflecting over the x-axis is like flicking a lever down/up, it gets inverted and goes up and down, but stays the same sideways (seeing as Y value measures up and down, and x measures side to side). and the reverse is true for flipping over the Y-axis (think of it the same way but its a lever sideways instead)