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L a r is an alternate interior angle with a r n i a r is an alternate interior angle with a r o.
Alternate interior angles congruent triangles. Alternate interior angles theorem. If two lines are crossed by a third then the following conditions are equivalent. Measures of interior angles of a triangle sum to 180.
Alternate exterior angles lie outside the lines cut by the transversal. The medians of a triangle meet at a point. So that means that angles 1 and 8 are congruent or the same and angles 2 and 7 are.
Similarly we also have alternate exterior angles that are located outside of the two intersected lines. C the opposite interior angles are supplementary. They lie on the inner side of the parallel lines but the opposite sides of the transversal.
You also know that line segments sw and na are congruent because they were part of the parallelogram opposite sides are parallel and congruent. Alternate interior angles are used to prove triangles are congruent by sas asa aas. Angles 2 and 7 above as well as angles 3 and 6 are examples of alternate interior angles.
The segment joining midpoints of two sides of a triangle is parallel to the third side and half the length. Alternate interior angles are the angles formed when a transversal intersects two coplanar lines. Base angles of isosceles triangles are congruent.
If the two lines are parallel then the alternate interior angles are congruent. Alternate interior angles lie between the lines cut by the transversal. The measures of the angles in a triangle always add up to 180 o.
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