Angle pair relationships

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Pre-Calculus Ch6,7,8

Ved Sami El-Abid

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Ved Sanka Rathnabarana

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Ved Camila Millán

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Ved ΤΕΡΨΙΧΟΡΗ ΒΑΡΔΙΑΜΠΑΣΗ

Angle pair relationships

Consecutive interior

Angles that are inside parallel lines and on the same side of the transversal

When the lines are parallel, the sum of the consecutive interior angles is always 180

Both angles on the same side of the transversal and within the two parallel lines

Not necessarily congruent

The consecutive interior theorem states that if a transversal intersects two parallel lines, then the consecutive interior angles are supplementary

Consecutive Exterior

Supplementary ( add up to 180 )

Consecutive refers to things that appear next to eachother

Only holds true when the transversal intersects two parallel lines

Angles that are outside parallel lines and on the same side of the transversal

Alternate Interior

Congruent when the line intersected by the transversal are parallel

Located on the inside of the the two parallel lines, but on opposite sides of the transversal

Only applies when a transversal intersects two lines

Angles that are inside parallel lines an don opposite sides of the transversal

If the lines are not parallel, alternate interior angles do not have any special properties and are not necessary congruent

Alternate Exterior

They are situated on the exterior of the two parallel lines, meaning outside the line where they intersect

When two parallel lines are cut by transversal, the alternate Exterior angles are always congruent to each other

The property of being congruent only applies when two lines being intersected b y the transversal are parallel

Located on opposite sides of the transversal line

Angles that are outside parallel lines and on opposite sides of the transversal

Corresponding

forms when a transversal intersects two parallel lines

occuppy there same relative position at each intersection

Congruent

Angles that are in the same spot, different line

Located on the same side of the transversal