What are the angle properties of parallel lines?
Angles in parallel lines
- When a pair of parallel lines is cut with another line known as an intersecting transversal, it creates pairs of angles with special properties.
- Corresponding angles are equal. The lines make an F shape.
- Alternate angles are equal. The lines make a Z shape which can also be back to front.
What are the 3 properties of parallel lines?
FAQs on Properties of Parallel Lines
- The pairs of corresponding angles are equal.
- The pairs of vertically opposite angles are equal.
- The pairs of alternate interior angles are equal.
- The pairs of alternate exterior angles are equal.
What is the parallel angle theorem?
Converse of Parallel Lines Theorem – Concept If two corresponding angles are congruent, then the two lines cut by the transversal must be parallel. Similarly, if two alternate interior or alternate exterior angles are congruent, the lines are parallel.
What are the three properties of parallel lines?
Name another pair of alternate interior angles and another pair of same-side interior angles. &3 and &4 are alternate interior angles. &2 and &3 are same-side interior angles. Quick Check 11 Name three other pairs of corresponding angles in the diagrams above.
How are interior angles related to parallel lines?
Corresponding Angles: One interior angle and one exterior angle that are non-adjacent and on the same side of the transversal. Corresponding angles are equal. Alternate Interior Angles: Interior angles on opposite sides of the transversal that are adjacent to different parallel lines. Alternate interior angles are equal.
How to test for parallel lines in math?
Testing for Parallel Lines If Any Pair Of Example: Corresponding Angles are equal a = e or Alternate Interior Angles are equal c = f or
How are lines A and B parallel to each other?
In the following figure, we are given that line a and line c are parallel to line b. Since a || b, so ∠1 = ∠2 (Corresponding angles axiom) Since c || b, so ∠3 = ∠2 (Corresponding angles axiom) Therefore, ∠1 = ∠3 (Commutative property)