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PROOF Point Y is the midpoint of XZ. Point W is collinear with X, Y, and Z. Z is the midpoint of YW. Complete the two-column proof to prove that XYZW. Drag the statements and reasons to complete the proof. Statements 1. Y is the midpoint of 1. XZ. W is collinear with X, Y, and Z. Z is the midpoint of YW. 2. 3. 4. 5. XY ZW Def, of segs. Reasons 2. Midpoint Thm. Given 3. Def. of segments 5. XY YZ and YZ ZW 4. Transitive Prop. of Equality XY = ZW XY YZ and YZZW

PROOF Point Y is the midpoint of XZ. Point W is collinear with X, Y, and Z. Z is the midpoint of YW. Complete the two-column proof to prove that XYZW. Drag the statements and reasons to complete the proof. Statements 1. Y is the midpoint of 1. XZ. W is collinear with X, Y, and Z. Z is the midpoint of YW. 2. 3. 4. 5. XY ZW Def, of segs. Reasons 2. Midpoint Thm. Given 3. Def. of segments 5. XY YZ and YZ ZW 4. Transitive Prop. of Equality XY = ZW XY YZ and YZZW

Elementary Geometry For College Students, 7e
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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Question 6 PROOF Point Y is the midpoint of XZ. Point W is collinear with X, Y, and Z. Z is the midpoint of YW. Complete the two-column proof to prove that XY = ZW. Drag the statements and reasons to complete the proof. Statements 1. Y is the midpoint of 1. XZ. W is collinear with X, Y, and Z. Z is the midpoint of YW. 2. esc 3. 4. 5. XY ZW Def, of segs. k Reasons 2. Midpoint Thm. XY = YZ and YZ = ZW Given 3. Def. of segments 5. 4. Transitive Prop. of Equality XY = ZW XY = YZ and YZ = ZW C с D ✔
Transcribed Image Text:Question 6 PROOF Point Y is the midpoint of XZ. Point W is collinear with X, Y, and Z. Z is the midpoint of YW. Complete the two-column proof to prove that XY = ZW. Drag the statements and reasons to complete the proof. Statements 1. Y is the midpoint of 1. XZ. W is collinear with X, Y, and Z. Z is the midpoint of YW. 2. esc 3. 4. 5. XY ZW Def, of segs. k Reasons 2. Midpoint Thm. XY = YZ and YZ = ZW Given 3. Def. of segments 5. 4. Transitive Prop. of Equality XY = ZW XY = YZ and YZ = ZW C с D ✔
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