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
Here are the solutions for the given problems: 1.5.1 Determine the new coordinates of the dot above if it is shifted ten units down and six units to the right. Step 1: Identify the initial coordinates of the dot from Figure 2. The dot is located at (-8, 8). Step 2: Apply the shift. Shifting ten units down means subtracting 10 from the y-coordinate: 8 - 10 = -2. Shifting six units to the right means adding 6 to the x-coordinate: -8 + 6 = -2. Step 3: State the new coordinates. The new coordinates of the dot are (-2, -2). 1.5.2 The new coordinates of the corners of the triangle if it is reflected about the x-axis. Step 1: Identify the initial coordinates of the triangle's vertices from Figure 2. The vertices are at (2, 8), (6, 8), and (4, 12). Step 2: Apply the reflection about the x-axis. When a point (x, y) is reflected about the x-axis, its new coordinates become (x, -y). For (2, 8), the new coordinates are (2, -8). For (6, 8), the new coordinates are (6, -8). For (4, 12), the new coordinates are (4, -12). Step 3: State the new coordinates of the corners. The new coordinates of the corners of the triangle are (2, -8), (6, -8), and (4, -12). That's 2 down. 3 left today — send the next one.