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Use the diagram at the right for #21 and #22: 21. Find the value of x. A. 58° В. 60° С. 64° D. 116 22. Find the value of y. A. 58° B. 60° С. 64° D. 116° 58°

Use the diagram at the right for #21 and #22: 21. Find the value of x. A. 58° В. 60° С. 64° D. 116 22. Find the value of y. A. 58° B. 60° С. 64° D. 116° 58°

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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Use the diagram at the right for #21 and #22: 21. Find the value of x. A. 58° В. 60° С. 64° D. 116° 22. Find the value of y. A. 58° В. 60° С. 64° D. 116° 58° For #23 and #24, complete the reasons in the proof: Given: X is the midpoint of AD and BC Prove: ABXA = ACXD Statements Reasons D 1) X is the midpoint of 1) Given AD and BC 2) Definition of midpoint. 2) AX = XD and BX = XC 3) ZBXA = ZCXD 23. ? 4) ABXA = ACXD 23. The reason is: A. Definition of Angle Bisector B. Reflexive C. Definition of Midpoint D. Vertical Angles are congruent. 24. ? 24. The reason is: A. SSS B. SAS C. ASA D. AAS
Transcribed Image Text:Use the diagram at the right for #21 and #22: 21. Find the value of x. A. 58° В. 60° С. 64° D. 116° 22. Find the value of y. A. 58° В. 60° С. 64° D. 116° 58° For #23 and #24, complete the reasons in the proof: Given: X is the midpoint of AD and BC Prove: ABXA = ACXD Statements Reasons D 1) X is the midpoint of 1) Given AD and BC 2) Definition of midpoint. 2) AX = XD and BX = XC 3) ZBXA = ZCXD 23. ? 4) ABXA = ACXD 23. The reason is: A. Definition of Angle Bisector B. Reflexive C. Definition of Midpoint D. Vertical Angles are congruent. 24. ? 24. The reason is: A. SSS B. SAS C. ASA D. AAS
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