17. Complete the following proof. Given: WXYZ is a parallelogram. W X Y Prove: A XYZ EA ZWX Statement Reason ( Responses: Prove, Given, Definition of a parallelogram, If alternate interior angles of a quadrilateral are congruent, the quadrilateral is a parallelogram., If corresponding angles of a quadrilateral are congruent, the quadrilateral is a parallelogram., If two parallel lines are cut by a transversal, alternate interior angles are congruent., If two parallel lines are cut by a transversal, corresponding angles are congruent., Transitive property of congruence, Reflexive property of congruence, SSS, ASA, AAS) ( Responses: Prove, Given, Definition of a parallelogram, If alternate interior angles of a quadrilateral are congruent, the quadrilateral is a parallelogram., If corresponding angles of a quadrilateral are congruent, the quadrilateral is a parallelogram., If two parallel lines are cut by a transversal, alternate interior angles are congruent., If two parallel lines are cut by a transversal, corresponding angles are congruent., Transitive property of congruence, Reflexive property of congruence, SSS, ASA, AAS) (Responses: Prove, Given, Definition of a parallelogram, If alternate interior angles of a quadrilateral are congruent, the quadrilateral is a parallelogram., If corresponding angles of a quadrilateral are congruent, the quadrilateral is a parallelogram., If two parallel lines are cut by a transversal, alternate interior angles are congruent., If two parallel lines are cut by a transversal, corresponding angles are congruent., Transitive property of congruence, Reflexive property of congruence, SSS, ASA, AAS) (Responses: Prove, Given, Definition of a parallelogram, If alternate interior angles of a quadrilateral are congruent, the quadrilateral is a parallelogram., If corresponding angles of a quadrilateral are congruent, the quadrilateral is a parallelogram., If two parallel lines are cut by a transversal, alternate interior angles are congruent., If two parallel lines are cut by a transversal, corresponding angles are congruent., Transitive property of congruence, Reflexive property of congruence, SSS, ASA, AAS) (Responses: Prove, Given, Definition of a parallelogram, If alternate interior angles of a quadrilateral are congruent, the quadrilateral is a parallelogram., If corresponding angles of a quadrilateral are congruent, the quadrilateral is a parallelogram., If two parallel lines are cut by a transversal, alternate interior angles are congruent., If two parallel lines are cut by a transversal, corresponding angles are congruent., Transitive property of congruence, Reflexive property of congruence, SSS, ASA, AAS) 1. WXYZ is a parallelogram. 1. 2. 2. WZ || XY WX ||YZ 3. ZWZX = 3. ZYXZZWXZ = LYZX 4. ZX = ZX 4. 5. A XYZ E ZWX 5.

17. Complete the following proof. Given: WXYZ is a parallelogram. W X Y Prove: A XYZ EA ZWX Statement Reason ( Responses: Prove, Given, Definition of a parallelogram, If alternate interior angles of a quadrilateral are congruent, the quadrilateral is a parallelogram., If corresponding angles of a quadrilateral are congruent, the quadrilateral is a parallelogram., If two parallel lines are cut by a transversal, alternate interior angles are congruent., If two parallel lines are cut by a transversal, corresponding angles are congruent., Transitive property of congruence, Reflexive property of congruence, SSS, ASA, AAS) ( Responses: Prove, Given, Definition of a parallelogram, If alternate interior angles of a quadrilateral are congruent, the quadrilateral is a parallelogram., If corresponding angles of a quadrilateral are congruent, the quadrilateral is a parallelogram., If two parallel lines are cut by a transversal, alternate interior angles are congruent., If two parallel lines are cut by a transversal, corresponding angles are congruent., Transitive property of congruence, Reflexive property of congruence, SSS, ASA, AAS) (Responses: Prove, Given, Definition of a parallelogram, If alternate interior angles of a quadrilateral are congruent, the quadrilateral is a parallelogram., If corresponding angles of a quadrilateral are congruent, the quadrilateral is a parallelogram., If two parallel lines are cut by a transversal, alternate interior angles are congruent., If two parallel lines are cut by a transversal, corresponding angles are congruent., Transitive property of congruence, Reflexive property of congruence, SSS, ASA, AAS) (Responses: Prove, Given, Definition of a parallelogram, If alternate interior angles of a quadrilateral are congruent, the quadrilateral is a parallelogram., If corresponding angles of a quadrilateral are congruent, the quadrilateral is a parallelogram., If two parallel lines are cut by a transversal, alternate interior angles are congruent., If two parallel lines are cut by a transversal, corresponding angles are congruent., Transitive property of congruence, Reflexive property of congruence, SSS, ASA, AAS) (Responses: Prove, Given, Definition of a parallelogram, If alternate interior angles of a quadrilateral are congruent, the quadrilateral is a parallelogram., If corresponding angles of a quadrilateral are congruent, the quadrilateral is a parallelogram., If two parallel lines are cut by a transversal, alternate interior angles are congruent., If two parallel lines are cut by a transversal, corresponding angles are congruent., Transitive property of congruence, Reflexive property of congruence, SSS, ASA, AAS) 1. WXYZ is a parallelogram. 1. 2. 2. WZ || XY WX ||YZ 3. ZWZX = 3. ZYXZZWXZ = LYZX 4. ZX = ZX 4. 5. A XYZ E ZWX 5.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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