Question

10. Provide the reasons for the following proof. Given: ?WX ? ?XY, ?XZ bisects ?WXY Prove: ?WXZ ? ?YXZ Statements Reasons 1. ?WX ? ?XY, ?XZ bisects ?WXY 1. Given. 2. ?WXZ ? ?YXZ 2. Definition of an angle bisector. 3. ?XZ ? ?XZ 3. 4. ?WXZ ? ?YXZ 4. Reflexive Property of ?; SSS Symmetric Property of ?; SSS Reflexive Property of ?; SAS Symmetric Property of ?; SAS

          10. Provide the reasons for the following proof.
Given: ?WX ? ?XY, ?XZ bisects ?WXY
Prove: ?WXZ ? ?YXZ

Statements
Reasons
1. ?WX ? ?XY, ?XZ bisects ?WXY
1. Given.
2. ?WXZ ? ?YXZ
2. Definition of an angle bisector.
3. ?XZ ? ?XZ
3.
4. ?WXZ ? ?YXZ
4.

Reflexive Property of ?; SSS
Symmetric Property of ?; SSS
Reflexive Property of ?; SAS
Symmetric Property of ?; SAS

10. Provide the reasons for the following proof.
Given: ?WX ? ?XY, ?XZ bisects ?WXY
Prove: ?WXZ ? ?YXZ

Statements
Reasons
1. ?WX ? ?XY, ?XZ bisects ?WXY
1. Given.
2. ?WXZ ? ?YXZ
2. Definition of an angle bisector.
3. ?XZ ? ?XZ
3.
4. ?WXZ ? ?YXZ
4.

Reflexive Property of ?; SSS
Symmetric Property of ?; SSS
Reflexive Property of ?; SAS
Symmetric Property of ?; SAS

Added by Paige M.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Lashaumbe Jernigan

01/02/2022

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Given: WX ≅ XY, XZ bisects ∠WXY Prove: ∆WXZ ≅ ∆YXZ Statements Reasons 1. WX ≅ XY, XZ bisects ∠WXY 1. Given. 2. ∠WXZ ≅ ∠YXZ 2. Definition of an angle bisector. 3. XZ ≅ XZ 3. 4. ∆WXZ ≅ ∆YXZ 4. Reflexive Property of ≅; SSS Symmetric Property of ≅; SSS Reflexive Property of ≅; SAS Symmetric Property of ≅; SAS