Determine whether line QV and line RM are parallel,perpendicular or neither ?
neither.
To determine whether line QV and line RM are parallel, perpendicular, or neither, you need to examine their slopes.
Step 1: Find the slopes of line QV and line RM.
- To find the slope of a line, you can use the formula: slope = (change in y)/(change in x).
- Note the coordinates of two points on each line (QV and RM). Let's call them (x1, y1) and (x2, y2) for line QV, and (x3, y3) and (x4, y4) for line RM.
- Compute the slopes of the two lines using the formula mentioned above:
* Slope of line QV = (y2 - y1) / (x2 - x1)
* Slope of line RM = (y4 - y3) / (x4 - x3)
Step 2: Compare the slopes to determine the relationship between the lines:
- If the slopes are equal, the lines are parallel.
- If the slopes are negative reciprocals of each other (i.e., their product is -1), the lines are perpendicular.
- If the slopes are neither equal nor negative reciprocals, the lines are neither parallel nor perpendicular.
By following these steps and calculating the slopes, you can determine whether line QV and line RM are parallel, perpendicular, or neither.