Alternate Exterior Angles Theorem Proof

Finding x and y intercepts of quadratic equations. The Alternate Exterior Angles Theorem states that if a pair of parallel lines are cut by a transversal then the alternate exterior angles are congruent.

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If two parallel lines are cut by a transversal then the alternate exterior angles are congruent.

Alternate exterior angles theorem proof. 1 7 and 4 6. A d. We are not bothering to identify our parallel lines and transversal.

Alternate means opposite sides so the angles are on opposite sides of the transversal. Sum of the exterior angles of a triangle. We are jumping ahead to numbered angles.

Exterior means outside so more specifically this theorem is stating that the opposite outside angles are congruent or have the same measure. Alternating exterior angle theorem Alternate exterior angle states that the resulting alternate exterior angles are congruent when two parallel lines are cut by a transversal. A proof can be written in paragraph form.

Here we have a new pair of lines parallel and crossed by a transversal. We will now prove that they are congruent ie. Diagonals of a parallelogram bisect each other.

Then the pairs of consecutive interior angles are supplementary. They have equal measure. If two lines are cut by a transversal so the alternate exterior angles are congruent then the lines are parallel.

IIl write out a proof of Theorem 102 and give you the opportunity to prove Theorem 103 at the end of this section. Because these lines are parallel the theorem tells us that the alternate interior angles are congruent. The Alternate Exterior Angles Theorem states that when two parallel lines are cut by a transversal the resulting alternate exterior angles are congruent.

So in the figure below if k l then. 6 rows According to the Exterior Angle property of a triangle theorem the sum of measures of ABC. So that means that angles 1 and 8 are congruent or the same and angles 2 and 7 are.

With reference to the diagram above. Theorem 2 Alternate Exterior Angles Theorem. Since k l by the Corresponding Angles Postulate.

Proving the converse of the perpendicular bisector theorem. Proving lines are parallel. Alternate Exterior Angle Theorem If two lines are parallel then the pair alternate exterior angles formed are congruent.

36 Alternate Exterior Angles Theorem Proof Pictures 1280x720 High Resolution Your alternate exterior angles theorem proof PNG 1280x960 Full Screen images are ready. Alternate Exterior Angles Theorem What it says. In the figure above we can observe that angles 1 and 2 is a pair of the alternate exterior angle.

Proving the medians cut a triangle into six equal area triangles. If a transversal intersects two parallel lines then alternate exterior angles are congruent. Alternate exterior angles theorem proof Background 1.

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