Perpendicular lines are vertical lines that form a right angle between them, that is, an angle of degrees.
Perpendicular lines appear in many geometric shapes, such as a rectangle, a square, a right triangle, and others.
Perpendicular Lines
Test yourself on perpendicular lines!
Determine which lines are parallel to one another?
Some examples of perpendicular lines
Perpendicular lines that form a degree angle between them.
Perpendicular lines in a right triangle.
Perpendicular lines in a rectangle: the adjacent sides in the rectangle are perpendicular to each other.
Examples and exercises with solutions of perpendicular lines
Exercise #1
Determine which lines are parallel to one another?
Video Solution
Step-by-Step Solution
Remember that parallel lines are lines that, if extended, will never intersect.
In diagrams a'+b'+c', all the lines intersect with each other at a certain point, except for diagram d'.
The lines drawn in answer d' will never intersect.
Answer
Exercise #2
Which lines are perpendicular to each other?
Video Solution
Step-by-Step Solution
Let's remember that perpendicular lines are lines that form a right angle of 90 degrees between them.
The only drawing where it can be seen that the lines form a right angle of 90 degrees between them is drawing A.
Answer
Exercise #3
Which lines are perpendicular to each other?
Video Solution
Step-by-Step Solution
Perpendicular lines are lines that form a right angle of 90 degrees between them.
The only drawing where the lines form a right angle of 90 degrees between them is drawing A.
Answer
Exercise #4
Which figure(s) show intersecting lines?
Video Solution
Step-by-Step Solution
Lines that intersect each other are lines that divide the side into two equal parts.
The drawings showing that the lines divide the sides into equal parts are drawings 1+3.
In drawing 2, the lines are perpendicular and vertical to each other, and in drawing 4, the lines are parallel to each other.
Answer
1 and 3
Exercise #5
Which figure shows perpendicular lines?
Video Solution
Step-by-Step Solution
Perpendicular lines are lines that form a right angle between them.
In the drawings A+C+D, you can see that the angles formed are not right angles.
It is possible to point out a right angle in drawing B.
Answer
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Test your knowledge
Question 1
Which lines are perpendicular to each other?
Question 2
Which lines are perpendicular to each other?
Question 3
Which figure(s) show intersecting lines?
More Questions
Perpendicular Lines
- Counting Perpendicular Lines: Finding All Line Pairs in a Square
- Counting Perpendicular Lines: Analysis of Nested Square Geometry
- Finding Perpendicular Line Pairs: Cross-Shaped Geometric Analysis
- Counting Perpendicular Lines: Identifying Right Angle Pairs in a Geometric Diagram
- Counting Perpendicular Lines: Geometric Diagram Analysis Exercise
Related Subjects
- Area
- Trapezoids
- Area of a trapezoid
- Perimeter of a trapezoid
- Parallelogram
- The area of a parallelogram: what is it and how is it calculated?
- Perimeter of a Parallelogram
- Parallel lines
- Proving Parallel Lines
- Angles In Parallel Lines
- Alternate angles
- Corresponding angles
- Collateral angles
- Vertically Opposite Angles
- Adjacent angles
- Rectangle
- Calculating the Area of a Rectangle
- The perimeter of the rectangle
- Congruent Rectangles
- Perimeter
