Question

Can someone help me figure out these proofs if you can!! In geometry

Answer 1

Answer:

For all the proofs you start with the given, and work you’re way down the problem.

1)

Statement                        Reasoning

LM=NO                             Given

∠LMO≅∠NOM.                 Given

OM=OM                            Reflexive Property of Equality

ΔLMO=ΔNOM                  SAS Congruence Postulate

2)

Statement                        Reasoning

∠A=∠D                              Given

CB bisects ∠ACD             Given

CB=CB                              Reflexive Property of Equality

∠ACB=∠BCD                     Definition of Angle Bisector

∠ABC=∠CBD                     Definition of Angle Bisector

ΔABC=ΔDBC                     ASA Congruence Postulate

CA=CD                               Definition of Congruence

3)

Statement                        Reasoning

∠T=∠U                              Given

S is midpoint of TU          Given

∠TSN=∠USH                     Vertical angles are congruent

TS=SU                               Definition of Midpoint

ΔTSN=ΔUSH                     ASA Congruence Postulate

SN=SH                               Definition of Congruent