Table of Contents
Understanding Vertical Angles in Detail!
Vertical angles are angles that share a common vertex and are opposite each other. In other words, vertical angles are angles that are directly across from each other. Vertical angles are always equal in measure.
What are Intersecting Lines?
Intersecting lines are lines that intersect at a point.
Properties of Intersecting Lines
There are three properties of intersecting lines:
1. They have the same slope.
2. They have the same y-intercept.
3. They are perpendicular if and only if their slopes are negative reciprocals of each other.
About Intersecting Lines
Intersecting lines are lines that intersect at a point. In other words, they cross each other.
What are Parallel Lines?
Parallel lines are lines that are always the same distance apart.
Properties of Parallel Lines
The following are properties of parallel lines:
1. Parallel lines never intersect.
2. The distance between parallel lines is constant.
3. Parallel lines have the same slope.
4. The equation of a line is y = mx + b, where m is the slope and b is the y-intercept. If two lines are parallel, their equations will have the same slope.
about Parallel Lines
Parallel lines are lines that are always the same distance apart.
What Are Complementary & Supplementary Angles?
Complementary angles are two angles that sum to 90 degrees. Supplementary angles are two angles that sum to 180 degrees.
What are Vertical Angles?
Vertical angles are angles that share a common vertex and have the same measure.
Facts About Vertical Angles-
Vertical angles are two angles that share a common vertex and a common side, but have different measures.
The measure of a vertical angle is the sum of the measures of the two angles.
The Theorem of Vertical Angles-
if two angles are vertical angles, then the two lines that they are on are perpendicular.
Are All Vertical Angles Congruent?
No, all vertical angles are not congruent.
Are Vertical Angles Adjacent?
Vertical angles are adjacent if they share a common vertex and also are on the same line.
Are All Vertical Angles Supplementary?
Vertical angles are supplementary if they are opposite angles.
Are Vertical Angles Complementary?
No, vertical angles are not complementary.
What are Vertical or Intersecting Lines?
Vertical or intersecting lines are lines that intersect perpendicularly.
Applications of Vertical Angles
Vertical angles are used in a variety of ways. One example is in surveying. When surveying, it is important to be able to calculate the height of an object using its angle of elevation. This can be done by using the vertical angle theorem.
Another application of vertical angles is in construction. When building a structure, it is important to be able to calculate the height of each level. However this can be done by using the vertical angle theorem and a scale diagram.
Questions to be solved on Vertical Angles-
1. What is the measure of the vertical angle between the two lines?
2. Also What is the measure of the vertical angle between the two points?
