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What are equal and lie on either side if transversal?
When two lines are cut by a transversal, the angles that are equal and lie on either side of the transversal are known as alternate interior angles or alternate exterior angles. Alternate interior angles are located between the two lines but on opposite sides of the transversal, while alternate exterior angles are found outside the two lines, also on opposite sides of the transversal. These angles are congruent when the two lines are parallel.
What is the definition for the word alternate interior angles?
Angles on opposite sides of the transversal and between the parallel lines
What is always true about alternate interior angles when non-parallel lines are cut by a transversal?
When non-parallel lines are cut by a transversal, alternate interior angles are not necessarily equal. Instead, the relationship between these angles depends on the specific measures of the angles formed by the transversal and the non-parallel lines. Therefore, unlike the case with parallel lines, alternate interior angles do not have a consistent property of being congruent when the lines are not parallel.
If two parallel lines are cut by a transversal the sum of the measures of the interior angles on the same side of the tranversal is?
If two parallel lines are cut by a transversal, the sum of the measures of the interior angles on the same side of the transversal is 180 degrees. This is due to the properties of parallel lines and the angles formed by the transversal, which create corresponding and consecutive interior angles. Hence, these angles are supplementary.
What is a line that intersects two parallel lines?
a transversal line If a transversal intersects two parallel lines, then the alternate interior angles are congruent.
When two coplanar lines are cut by transversal the angles between the two lines on opposite sides of the transversal are called what?
Alternate Interior Angles
What are equal and lie on either side if transversal?
When two lines are cut by a transversal, the angles that are equal and lie on either side of the transversal are known as alternate interior angles or alternate exterior angles. Alternate interior angles are located between the two lines but on opposite sides of the transversal, while alternate exterior angles are found outside the two lines, also on opposite sides of the transversal. These angles are congruent when the two lines are parallel.
What is the definition for the word alternate interior angles?
Angles on opposite sides of the transversal and between the parallel lines
What is always true about alternate interior angles when non-parallel lines are cut by a transversal?
When non-parallel lines are cut by a transversal, alternate interior angles are not necessarily equal. Instead, the relationship between these angles depends on the specific measures of the angles formed by the transversal and the non-parallel lines. Therefore, unlike the case with parallel lines, alternate interior angles do not have a consistent property of being congruent when the lines are not parallel.
If two parallel lines are cut by a transversal the sum of the measures of the interior angles on the same side of the tranversal is?
If two parallel lines are cut by a transversal, the sum of the measures of the interior angles on the same side of the transversal is 180 degrees. This is due to the properties of parallel lines and the angles formed by the transversal, which create corresponding and consecutive interior angles. Hence, these angles are supplementary.
If 2 parallel lines are cut by a transversal alternate interior angles are what?
When 2 parallel lines are cut by a transversal some of the pairs of angles which are formed are called alternate angles whereas other pairs are called interior angles.
What is a line that intersects two parallel lines?
a transversal line If a transversal intersects two parallel lines, then the alternate interior angles are congruent.
What is meant by alternate Interior angles?
Alternate interior angles are equal on a transversal that passes through parallel lines.
Parallel lines form congruent alternate interior angles?
Parallel lines cut by a transversal form congruent alternate interior angles.
What is an alternate interior angle?
Two lines are crossed by one another line called the transversal. The pairs of angles on opposite sides of the transversal but inside the two lines are called alternative interior angles.
What is a transversal and special angles?
A transversal is a line that intersects two or more other lines at distinct points. When a transversal crosses parallel lines, it creates several pairs of special angles, including corresponding angles, alternate interior angles, and consecutive interior angles. These angles have specific relationships; for example, corresponding angles are equal, and alternate interior angles are also equal when the lines are parallel. Understanding these relationships is essential in geometry for solving problems related to angles and lines.
What is a line that intersects parallel lines?
a transversal line If a transversal intersects two parallel lines, then the alternate interior angles are congruent.
