Question

plot and label the ordered pairs to create a shape: a (3,4) b (1,2) c (4,2)
reflect the shape over the x - axis and label abc?
coordinate grid image omitted

Explanation:

Step1: Recall x-axis reflection rule

For a point $(x,y)$, reflection over the x-axis is $(x,-y)$.

Step2: Calculate reflected points

• For $A(0,4)$: $A'(0, -4)$
• For $B(1,2)$: $B'(1, -2)$
• For $C(6,2)$: $C'(6, -2)$

Step3: Plot original and reflected points

1. Plot original points: $A(0,4)$ (on y-axis, 4 units up), $B(1,2)$ (1 right, 2 up), $C(6,2)$ (6 right, 2 up); connect to form a shape.
2. Plot reflected points: $A'(0,-4)$ (on y-axis, 4 units down), $B'(1,-2)$ (1 right, 2 down), $C'(6,-2)$ (6 right, 2 down); connect to form the reflected shape.

Answer:

Reflected coordinates:
$A'(0, -4)$
$B'(1, -2)$
$C'(6, -2)$

(When plotting: Original shape is a triangle with vertices at (0,4), (1,2), (6,2); reflected shape is a triangle with vertices at (0,-4), (1,-2), (6,-2), mirrored across the x-axis.)