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Let's review! <4 <8 3. If two lines are intersected by a transversal, then alternate interior angles, alternate exterior angles, and corresponding angles are congruent. 2)), the corresponding statement for an external angle bisector was given by Robert Simson who noted that Pappus assumed this result without proof. <4 <6 1. <6 <8 2. Don’t Get alternate interior consecutive interior same side interior yet, first read this. ... Converse of the corresponding angles postulate. Definition of Isosceles Triangle. Paragraph proof. If two corresponding angles are congruent, then the two lines cut by a transversal are parallel. Given 2. The theorem can also be thought of as a special case of the intersecting chords theorem for a circle, since the converse of Thales' theorem ensures that the hypotenuse of the right angled triangle is the diameter of its circumcircle.. a triangle that has two congruent sides. if the corresponding angles are congruent, then the lines are parallel (used to prove lines are parallel) ... Used in a proof after showing triangles are congruent. The exterior angles are these same four: ∠ 1 ∠ 2 ∠ 7 ∠ 8; This time, we can use the Alternate Exterior Angles Theorem to state that the alternate exterior angles are congruent: ∠ 1 ≅ ∠ 8 ∠ 2 ≅ ∠ 7; Converse of the Alternate Exterior Angles Theorem. The converse statement is true as well. Transitive Property of Congruence 4. p||q 4. Vertical Angle Theorem 3. Use the Corresponding Angles Converse Postulate to prove the Alternate Interior Angles Converse Theorem. If two corresponding angles are congruent, then the two lines cut by the transversal must be parallel. How to Find Corresponding Angles - Theorem, Proof, Definition, Example Definition: When two straight lines are cut by another line i.e transversal, then the angles in identical corners are said to be Corresponding Angles. Lesson Summary. Converse of Corresponding Angles Theorem. Any triangle, in which the altitude equals the geometric mean of the two line segments created by it, is a right triangle. For the board: You will be able to use the angles formed by a transversal to prove two lines are parallel. Proof of Theorem 3-7: The Corresponding Angles Theorem says that: If a transversal cuts two parallel lines, their corresponding angles are congruent. Informal proof in which the statements and reasons are written as sentences in a paragraph ... Converse of alternate interior angles theorem. Theorem 3-4: Converse of the Corresponding Angles Theorem. 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