Alternate Interior Angles Theorem Parallelogram
A parallelogram however has some additional properties.
Alternate interior angles theorem parallelogram. D 3 at d 5 and d 4 at d 6. See interior angles of a polygon. Bt td 3. Statements of parallelogram and its theorems 1 in a parallelogram opposite sides are equal.
Alternate exterior angles are a pair of angles formed by two lines and a transversal and are located on opposite sides of the transversals and outside on the exterior of the two lines. If a quadrilateral is a parallelogram it has consecutive angles which are supplementary. Learn vocabulary terms and more with flashcards games and other study tools. Alternate interior angles theorem parallelogram.
3 4 6. If a quadrilateral is a parallelogram it has diagonals which form 2 congruent triangles. If a quadrilateral is a parallelogram it has diagonals which bisect each other. Triangle bet congruent to triangle dft 7.
Start studying quadrilateral parallelograms theorems part 2. 4 if in a quadrilateral each pair of opposite angles is equal then it is a parallelogram. If lines parallel then alternate interior angles are. 1 2 4.
In proposition 34 of book 1 of euclids elements we prove that a parallelogram has the opposite sides congruent the opposite angles congruent and the diameter divides the parallelogram into. Et tf 1. A quadrilateral in which each pair of opposite angles is congruent parallelogram 1 if a quadrilateral is parallelogram then its opposite sides are congruent a quadrilateral in which each pair of opposite angles is congruent parallelogram a quadrilateral in which each pair of opposite angles is congruent parallelogram. 2 if each pair of opposite sides of a quadrilateral is equal then it is a parallelogram.
Note for example that the angles abd and acd are always equal no matter what you do. If the lines are parallel alternate interior angles are congruent.
Discussion Section 1 3
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Discussion Section 1 3
