This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To draw the triangles on the graph paper: Step 1: Identify the coordinates. The coordinates of the original triangle ABC are: A = (-5, -1) B = (-3, -4) C = (-1, -2) The coordinates of the translated triangle A'B'C' are: A' = (-5, 4) B' = (-3, 1) C' = (-1, 3) Step 2: Plot the vertices of ABC. • For A(-5, -1): Start at the origin (0,0), move 5 units left along the x-axis, then 1 unit down along the y-axis. Mark this point as A. • For B(-3, -4): Start at the origin (0,0), move 3 units left along the x-axis, then 4 units down along the y-axis. Mark this point as B. • For C(-1, -2): Start at the origin (0,0), move 1 unit left along the x-axis, then 2 units down along the y-axis. Mark this point as C. Step 3: Draw ABC. Connect points A, B, and C with straight lines to form the triangle. Step 4: Plot the vertices of A'B'C'. • For A'(-5, 4): Start at the origin (0,0), move 5 units left along the x-axis, then 4 units up along the y-axis. Mark this point as A'. • For B'(-3, 1): Start at the origin (0,0), move 3 units left along the x-axis, then 1 unit up along the y-axis. Mark this point as B'. • For C'(-1, 3): Start at the origin (0,0), move 1 unit left along the x-axis, then 3 units up along the y-axis. Mark this point as C'. Step 5: Draw A'B'C'. Connect points A', B', and C' with straight lines to form the translated triangle. 3 done, 2 left today. You're making progress.