Question

(problems 5-8 are worth 3 pts each. 1 for each labe

1. reflect the triangle across the line $x = 0$ and draw the image. then label the image with $a$, $b$, $c$.

grid with triangle labeled a, b, c and some handwritten marks)

Explanation:

Step1: Identify Coordinates

First, find the coordinates of points \( A \), \( B \), and \( C \). Let's assume the grid has integer coordinates. From the graph:

• Let \( A = (-4, -1) \) (assuming its position), \( B = (2, 0) \), \( C = (-1, 3) \) (approximate based on grid).

Step2: Reflect Over \( x = 0 \) (y-axis)

The reflection rule over \( x = 0 \) (y - axis) is \( (x, y) \to (-x, y) \).

• For \( A(-4, -1) \), \( A'=(4, -1) \)
• For \( B(2, 0) \), \( B'=(-2, 0) \)
• For \( C(-1, 3) \), \( C'=(1, 3) \)

Step3: Plot and Draw

Plot the points \( A' \), \( B' \), \( C' \) on the grid and connect them to form the reflected triangle. Label them as \( A' \), \( B' \), \( C' \).

Answer:

The reflected triangle has vertices \( A'(4, -1) \), \( B'(-2, 0) \), \( C'(1, 3) \) (plotted and connected on the grid as the image).