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LEAP 2025 REVIEW – Proofs Name: 1. Consider the diagram to the right. CD is a perpendicular bisector to AB and x is a point on CD that is not on AB. Which reason could be used to prove XÃ XB? M A AXAM AXBM by the side-side-side theorem. B. AXAM AXBM by the Hypotenuse-Leg theorem. C. AXAM = AXBM by the side-angle-side theorem. D. AXAM = AXBM by the angle-angle-side theorem. 2. Consider the diagram of the intersecting lines.

LEAP 2025 REVIEW – Proofs Name: 1. Consider the diagram to the right. CD is a perpendicular bisector to AB and x is a point on CD that is not on AB. Which reason could be used to prove XÃ XB? M A AXAM AXBM by the side-side-side theorem. B. AXAM AXBM by the Hypotenuse-Leg theorem. C. AXAM = AXBM by the side-angle-side theorem. D. AXAM = AXBM by the angle-angle-side theorem. 2. Consider the diagram of the intersecting lines.

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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LEAP 2025 REVIEW-Proofs Name: 1. Consider the diagram to the right. CD is a perpendicular bisector to AB and x is a point on CD that is not on AB. Which reason could be used to prove XA = XB? A AXAM AXBM by the side-side-side theorem. B. AXAM = AXBM by the Hypotenuse-Leg theorem. C. AXAM = AXBM by the side-angle-side theorem. D. AXAM = AXBM by the angle-angle-side theorem. 2. Consider the diagram of the intersecting lines. Part A The table shows a proof of the theorem Statement Reason 1. Definition of supplementary angles Vertical Angles are Congruent. 1. mLa+mLC - 180° Complete the proof by selecting the 2. mLc + mb-180° 2. Definition of supplementary angles correct reasons from the lists for rows 3, 3. mLa+ mLC - mLC + m2 3. Select one reason for statement 3. 4, and 5. 2A3 A Reflexive property of equality B symmetric property of equality C Transitive property of equality 4. Solect one reason for statement 4. 4. mLc -mLC 2A4 A Reflexdve property of equality B Symmetric property of equality C Transitive property of equality 5. Select one reason for statement 5. 5. mLa-m 2A5 A Addition property of equality B Subtraction property of equaity C Multiplicative property of equality 6. Angles with equal measures are congruent 6. mLa= mLb Part B Based on the theorem Vertical Angles are Congruent, which statements are correct? A. La= Lb Select all that apply from the list to th
Transcribed Image Text:LEAP 2025 REVIEW-Proofs Name: 1. Consider the diagram to the right. CD is a perpendicular bisector to AB and x is a point on CD that is not on AB. Which reason could be used to prove XA = XB? A AXAM AXBM by the side-side-side theorem. B. AXAM = AXBM by the Hypotenuse-Leg theorem. C. AXAM = AXBM by the side-angle-side theorem. D. AXAM = AXBM by the angle-angle-side theorem. 2. Consider the diagram of the intersecting lines. Part A The table shows a proof of the theorem Statement Reason 1. Definition of supplementary angles Vertical Angles are Congruent. 1. mLa+mLC - 180° Complete the proof by selecting the 2. mLc + mb-180° 2. Definition of supplementary angles correct reasons from the lists for rows 3, 3. mLa+ mLC - mLC + m2 3. Select one reason for statement 3. 4, and 5. 2A3 A Reflexive property of equality B symmetric property of equality C Transitive property of equality 4. Solect one reason for statement 4. 4. mLc -mLC 2A4 A Reflexdve property of equality B Symmetric property of equality C Transitive property of equality 5. Select one reason for statement 5. 5. mLa-m 2A5 A Addition property of equality B Subtraction property of equaity C Multiplicative property of equality 6. Angles with equal measures are congruent 6. mLa= mLb Part B Based on the theorem Vertical Angles are Congruent, which statements are correct? A. La= Lb Select all that apply from the list to th
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