F10)IReasonStatement1J is the midpoint of FHGiven2J is the midpoint of GIGiven3FI = GHGivenEl : HJDefinition of midpoint4GJ = IJDefinition of midpoint56.ΔFU ΔHG)Complete the proof.Prove: AFIJ = AHGJ4)A)AASB)ASASASD)SS

Answered: 10) I Statement Reason J is the…

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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Complete the proof by putting the justifications in the correct order. Given: LBSE = LBST, LE a LT Prove: S is the midpoint of ET Proof: Statement Reason 1. LBSE = LBST LE = LT 1. А. СРСТС B. GIVEN C. DEFINITION OF MIDPOINT D. REFLEXIVE PROPERTY E. SAA THEOREM 2. BS BS 2. 3. ABSE = ABST 3. 4. ES TS 4. 5. S is the midpoint of ET 5. B, D, E, C, A O B, C, E, D, A O B, D, E, A, C О в, А, Е, D, C
Direction: A. Use the Two-Column Proof to prove the given statements: Given: B is the midpoint of AC C is the midpoint of . BD AE OK A AB N CD oni Prove: Proof: Statements 1. noleulonoo Reasons. 1. Given gnulesdoHoome esmoTS 2. 2. Definition of orsulano 3. 3. Definition of AB + BC = AC,BC+ CD = BD 4. Postulate 4. 5. 5. Property
E 9. AGIV AREV, deduce statement about V. A. V is in the interior of AGIV B. V is the exterior of AREV C. V is the midpoint of IE D. V is collinear with G and I G, R. 10. ATIN ACAN, then ANAC is congruent to C. ΔΤΝΙ D. AINT Α. ΔΙΤΝ B. ANIT 11. What do you call a line that intersects at right angle? A. Intersecting lines B. Parallel lines C. Perpendicular lines Inic D. Skew lines 12. What do you call to a segment that divides the angle into two congruent parts? A. Angle bisector B. Segment bisector 13. In the figure, if OM bisects LLMN, which of the following statements is true? A. LM NM B. LO NM C. ZLOM = LNOM D. LLMO = LNMO C. line segment D. midsegment L- 14. In the figure, MN 1 LP. What is the reason why ZMNL 4 MNP?dobod A. Right angle theorem B. Definition of Perpendicularity C. Definition of angle bisector D. Definition of right angle 15. If AMHA = ATHA by LL Congruence Theorem, what relationship exists between HA and MT? A. HA and MT are perpendicular B. HA and MT are parallel C.…

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10) I Statement Reason J is the midpoint of FH Given J is the midpoint of GI Given FI GH Given 万 H Definition of midpoint 4 GJ J Definition of midpoint 5 6. AFIJ E AHGJ Complete the proof. Prove: AFU AHGI A) AAS B) ASA SAS D) SS