Gas Station and Smoothie Shack
Corresponding Angles
Vertical Angles
Same-Side Interior Angles
Alternate Interior Angles
Alternate Exterior Angles
Corresponding Angles: Corresponding angles are formed when a transversal intersects two parallel lines. They are located in the same position on each line relative to the transversal.
For example, if we have two parallel lines AB and CD intersected by a transversal EF, then the corresponding angles are angles AEF and CEF, as well as angles BEF and DEF.
Vertical Angles: Vertical angles are formed by two intersecting lines. They are opposite to each other and have equal measures.
For example, if we have two intersecting lines AB and CD, then the angles formed at the intersection point are vertical angles. So if angle AEB is 60 degrees, then angle DEC would also be 60 degrees.
Same-Side Interior Angles: Same-side interior angles are a pair of interior angles that are on the same side of the transversal and the two lines.
For example, if we have two parallel lines AB and CD intersected by a transversal EF, then the same-side interior angles are angles AEF and BED.
Alternate Interior Angles: Alternate interior angles are a pair of interior angles that are on opposite sides of the transversal and between the two lines.
For example, if we have two parallel lines AB and CD intersected by a transversal EF, then the alternate interior angles are angles AED and BEF.
Alternate Exterior Angles: Alternate exterior angles are a pair of exterior angles that are on opposite sides of the transversal and outside the two lines.
For example, if we have two parallel lines AB and CD intersected by a transversal EF, then the alternate exterior angles are angles AEF and CED.