Question

you can perform translations in the coordinate plane. translate △abc 4 units up to form △abc. translate △abc 4 units up.

Explanation:

Step1: Identify coordinates of A, B, C

From the graph, \( A(1, -2) \), \( B(4, -1) \), \( C(3, -3) \).

Step2: Apply translation (up 4 units: add 4 to y - coordinate)

For \( A \): New \( y \)-coordinate: \( -2 + 4 = 2 \), so \( A'(1, 2) \).
For \( B \): New \( y \)-coordinate: \( -1 + 4 = 3 \), so \( B'(4, 3) \).
For \( C \): New \( y \)-coordinate: \( -3 + 4 = 1 \), so \( C'(3, 1) \).

Step3: Plot \( A', B', C' \) and draw \( \triangle A'B'C' \)

(This step is graphical, but the key is the coordinate transformation.)

Answer:

The coordinates of the translated triangle are \( A'(1, 2) \), \( B'(4, 3) \), \( C'(3, 1) \), and the triangle \( \triangle A'B'C' \) is formed by plotting these points and connecting them. (Graphically, each vertex is moved 4 units up from the original \( \triangle ABC \).)