Identifying Perpendicular Lines Worksheets
Perpendicular lines are an important concept in geometry and understanding their properties is crucial for students at the middle school level. Our collection of identifying perpendicular lines worksheets provides a comprehensive resource to help students practice and reinforce this concept. Whether you're a teacher looking for supplemental materials or a parent searching for extra practice, our worksheets offer a variety of exercises that focus on identifying perpendicular lines in different contexts.
Table of Images 👆
- Parallel Perpendicular Lines Worksheet
- Parallel and Perpendicular Lines Worksheet Answers
- Parallel Perpendicular Lines Worksheet
- Angle Bisectors and Perpendicular Worksheet
- Types of Quadrilaterals Worksheet
- Skew Lines Examples
- Skew Lines Examples
- Skew Lines Examples
- Skew Lines Examples
- Skew Lines Examples
- Skew Lines Examples
- Skew Lines Examples
- Skew Lines Examples
- Skew Lines Examples
- Skew Lines Examples
- Skew Lines Examples
- Skew Lines Examples
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Which line is perpendicular to line AB?
A line that is perpendicular to line AB is a line that intersects line AB at a 90-degree angle, forming a right angle.
Determine the equation of the line that is perpendicular to y = 2x - 3 at point (2, 4).
The given line has a slope of 2. Since the line we need to find is perpendicular, its slope will be the negative reciprocal of 2, which is -1/2. Using the point-slope form of a line, we can determine the equation of the line passing through point (2, 4) with a slope of -1/2. Plugging the values into the equation, we get y - 4 = (-1/2)(x - 2), simplifying gives y = -1/2x + 5. Therefore, the equation of the line that is perpendicular to y = 2x - 3 at point (2, 4) is y = -1/2x + 5.
Identify a pair of perpendicular lines in the given figure.
In the given figure, the line AB and the line CD are perpendicular to each other, as they intersect at a 90-degree angle.
Which line is perpendicular to the x-axis?
A line that is perpendicular to the x-axis would be a vertical line.
Find the slope of a line perpendicular to y = -3x + 2.
Since the given equation is in the form of y = mx + b, where m is the slope, the slope of the line is -3. The slope of a line perpendicular to a given line is the negative reciprocal of the slope of the given line. Thus, the slope of a line perpendicular to y = -3x + 2 is the negative reciprocal of -3, which is 1/3.
Determine the equation of the line that passes through (5, 3) and is perpendicular to the line 3x + 2y = 8.
To find the equation of a line perpendicular to 3x + 2y = 8, we first determine the slope of the given line. Rearranging the equation to slope-intercept form gives y = -3/2x + 4. The slope of this line is -3/2. The slope of a line perpendicular to this line will be the negative reciprocal, which is 2/3. Using the point-slope form y - y1 = m(x - x1) with the point (5, 3) on the new line, the equation of the line passing through (5, 3) and perpendicular to 3x + 2y = 8 is y - 3 = 2/3(x - 5). Simplifying gives 2y - 6 = 3x - 15, or 2y = 3x - 9, the equation of the line.
Which of the following pairs of lines are perpendicular to each other?
Two lines are perpendicular if the product of their slopes is -1. Without knowing the specific lines, I cannot determine which pairs are perpendicular without their slopes.
Determine the equation of the line that is perpendicular to y = 2x + 5 and passes through the point (-1, 3).
The slope of the given line y = 2x + 5 is 2. The slope of a line perpendicular to this line would be the negative reciprocal of 2, which is -1/2. Using the point-slope form of a line with the point (-1, 3), the equation of the line that is perpendicular to y = 2x + 5 and passes through the point (-1, 3) is y - 3 = -1/2(x + 1), which can be simplified to y = -1/2x + 5/2.
Identify a pair of perpendicular lines in the given coordinate grid.
The pair of perpendicular lines on the given coordinate grid can be seen at the intersection of the x-axis (horizontal line) and the y-axis (vertical line), which form right angles at their intersection point (0,0).
Which line is perpendicular to the y-axis?
A line that is perpendicular to the y-axis is a horizontal line, which can be represented by any equation in the form y = b, where b is a constant.
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