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Opposite (X) angles are equal
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- Parallel lines are lines that never cross each other - they keep the same distance apart from each other. When two lines intersect, the opposite (X) angles are equal.
www.bbc.co.uk/bitesize/articles/zqbd96f
Feb 24, 2014 · Try to capture two parallel lines in a camera and they will converge in the image. You can see your own eye does the same. So, theoretically they don't intersect, while we see them as intersecting somewhere and which shifts to somewhere else as we move closer to that point.
Lines are parallel if they are always the same distance apart (called "equidistant"), and will never meet. Just remember: Always the same distance apart and never touching. The red line is parallel to the blue line in each of these examples: Example 1. Example 2.
. If a line passes through two or more parallel lines, it is known as a. transversal. A transversal intersection forms various types of angles with the parallel lines: Alternate...
- Corresponding Angles
- Alternate Interior Angles
- Alternate Exterior Angles
- Consecutive Interior Angles
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When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position. In the figure given above, the corresponding anglesformed by the intersection of the transversal are: 1. ∠1 and ∠5 2. ∠2 and ∠6 3. ∠3 and ∠7 4. ∠4 and ∠8 It should be noted that the pair of corresponding angles are equal in measure, t...
Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal. In the figure given above, there are two pairs of alternate interior angles. 1. ∠3 and ∠6 2. ∠4 and ∠5 It should be noted that the pair of alternate interior angles are equal in measure, that is, ∠3 = ∠6, and ∠4 = ∠5
When two parallel lines are cut by a transversal, the pairs of angles formed on either side of the transversal are named as alternate exterior angles. In the figure given above, there are two pairs of alternate exterior angles. 1. ∠1 and ∠8 2. ∠2 and ∠7 It should be noted that the pair of alternate exterior angles are equal in measure, that is, ∠1 ...
When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles. In the given figure, there are two pairs of consecutive interior angles. 1. ∠4 and ∠6 2. ∠3 and ∠5 It should be noted that unlike the other pairs given above, the pai...
Check out the following links related to Parallel Lines Cut by Transversal. 1. Parallel Lines 2. Transversal
In this article, we learnt about intersecting lines, angles formed by them, parallel lines, and the point of intersection. Let’s solve a few examples and practice problems based on intersecting lines!
Two lines are parallel if their direction vectors are parallel. In our next example, we will find the vector form of the equation of a line which is parallel to a given line. Example 2: Finding the Equation of a Straight Line Passing through a Given Point and Parallel to a Given Straight Line in Vector Form.
To determine if two lines are intersecting or parallel, you need to examine their slopes and y- intercepts. If the slopes of the two lines are different, the lines are intersecting. They will cross each other at a single point, which can be found by solving the system of equations formed by the two lines. If the slopes of the two lines are the ...