2 thoughts on “explain it properly<br />with the help of diagrams and definition<br /><br /> 1. corresponding angles<br />2. Alternative interior”
Step-by-step explanation:
1) Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).
2)When two lines are crossed by another line (called the Transversal): Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.
3)Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal.
4)When a transversal intersects two lines, the two lines are parallel if and only if interior angles on the same side of the transversal and exterior angles on the same side of the transversal are supplementary (sum to 180°).
1)the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal
2)When a transversal passes through two lines, alternate interior angles are formed.
They are also known as ‘Z angles’ as they generally form a Z pattern.
Alternate interior angles are the angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles.
3)Alternate exterior angles are congruent if the lines crossed by the transversal are parallel.
If alternate exterior angles are congruent, then the lines are parallel.
At each intersection, the corresponding angles lie at the same place.
The alternate exterior angles that lie outside the lines are intercepted by the transversal.
4)The Same-Side Interior Angles Theorem states that if a transversal cuts two parallel lines, then the interior angles on the same side of the transversal are supplementary. Supplementary angles are ones that have a sum of 180°.
Step-by-step explanation:
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Step-by-step explanation:
1) Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).
2) When two lines are crossed by another line (called the Transversal): Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.
3)Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal.
4) When a transversal intersects two lines, the two lines are parallel if and only if interior angles on the same side of the transversal and exterior angles on the same side of the transversal are supplementary (sum to 180°).
Answer:
1)the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal
2)When a transversal passes through two lines, alternate interior angles are formed.
They are also known as ‘Z angles’ as they generally form a Z pattern.
Alternate interior angles are the angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles.
3)Alternate exterior angles are congruent if the lines crossed by the transversal are parallel.
If alternate exterior angles are congruent, then the lines are parallel.
At each intersection, the corresponding angles lie at the same place.
The alternate exterior angles that lie outside the lines are intercepted by the transversal.
4)The Same-Side Interior Angles Theorem states that if a transversal cuts two parallel lines, then the interior angles on the same side of the transversal are supplementary. Supplementary angles are ones that have a sum of 180°.
Step-by-step explanation:
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