Identify the compositions performed on ΔXYZ to map onto ΔX″Y″Z″. An image of three triangles on a coordinate plane.

Question 11 options:

Reflection along y-axis; 180° rotation about the origin

Reflection along the line y = x; 180° rotation about the origin

Translation: (x, y) → (x – 2,y + 1); 180° rotation about the origin

Translation: (x, y) → (x + 2,y – 1); 180° rotation about the origin

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)