Complete the following proof. Given: WXY Z is a parallelogram. Prove: AXYZ=AZWX Statement Reason 1. 1. WXYZ is a parallelogram. Definition of a parallelogram 2. Transitive property of congruence ASA WZ XY, WX YZ Given 3. ZWZX ZYXZ ZWXZ ZYZX If corresponding angles of a quadrilateral are congruent, the quadrilateral is a parallelogram. AAS Definition of a parallelogram If two parallel lines are cut by a transversal, corresponding angles are congruent. Prove If alternate interior angles of a quadrilateral are congruent, the quadrilateral is a parallelogram. 4. ZX ZX 5. AXYZ AZWX SS Reflexive property of congruence If two parallel lines are cut by a transversal, alternate interior angles are congruent.

Complete the following proof. Given: WXY Z is a parallelogram. Prove: AXYZ=AZWX Statement Reason 1. 1. WXYZ is a parallelogram. Definition of a parallelogram 2. Transitive property of congruence ASA WZ XY, WX YZ Given 3. ZWZX ZYXZ ZWXZ ZYZX If corresponding angles of a quadrilateral are congruent, the quadrilateral is a parallelogram. AAS Definition of a parallelogram If two parallel lines are cut by a transversal, corresponding angles are congruent. Prove If alternate interior angles of a quadrilateral are congruent, the quadrilateral is a parallelogram. 4. ZX ZX 5. AXYZ AZWX SS Reflexive property of congruence If two parallel lines are cut by a transversal, alternate interior angles are congruent.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.2: Length And Angle: The Dot Product

Problem 6AEXP

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