Practice+Problems

Givem SU ~ LR .S.---.T.-l.U. TU ~ LN Prove: ST ~ N-R .L.-l---.N.--.R.

Statements a. SU -~ LR, TU -~ LN b. c.SU = ST + TU LR = LN + AFR d.ST + TU = LN + NR e. ST + LN = LN + NR f. ST + LN- LN = LN + NR - LN g. h.ST ~- NR Reasons a. b. Definition of ~ segments c. d. e. f. g. h.

Answers Below:

Statements==> b. SU=LR, TU=LN g.ST=NR

Reasons==> a. Given c. Segment Addition Postulate d. Substitution/Transitive P.E. e.Substitution f.Subtraction P.E. g. Simplify h.Definition of congruence


 * Given> || //LK// = 5, //JK// = 5, [[image:http://images.classwell.com/ebooks/images/mcd_geo/linesegment_jk.gif align="absmiddle"]] [[image:http://images.classwell.com/ebooks/images/mcd_geo/congruent.gif align="absmiddle"]] [[image:http://images.classwell.com/ebooks/images/mcd_geo/linesegment_jl.gif align="absmiddle"]] ||
 * [[image:http://images.classwell.com/ebooks/images/mcd_geo/prove_arrow.gif align="absmiddle"]] || [[image:http://images.classwell.com/ebooks/images/mcd_geo/linesegment_lk.gif align="absmiddle"]] [[image:http://images.classwell.com/ebooks/images/mcd_geo/congruent.gif align="absmiddle"]] [[image:http://images.classwell.com/ebooks/images/mcd_geo/linesegment_jl.gif align="absmiddle"]] ||






 * SOLUTION**[[image:http://images.classwell.com/ebooks/images/mcd_geo/blank.gif height="8"]]
 * **a.** //LK// = 5[[image:http://images.classwell.com/ebooks/images/mcd_geo/blank.gif height="8"]] || **b.** //JK// = 5[[image:http://images.classwell.com/ebooks/images/mcd_geo/blank.gif height="8"]] ||
 * [[image:http://images.classwell.com/ebooks/images/mcd_geo/blank.gif height="11"]] ||


 * **c.** Definition of congruent segments[[image:http://images.classwell.com/ebooks/images/mcd_geo/blank.gif height="8"]] || **d.** [[image:http://images.classwell.com/ebooks/images/mcd_geo/linesegment_lk.gif align="absmiddle"]] [[image:http://images.classwell.com/ebooks/images/mcd_geo/congruent.gif align="absmiddle"]] [[image:http://images.classwell.com/ebooks/images/mcd_geo/linesegment_jl.gif align="absmiddle"]] ||

Given>  ,
 * [[image:http://images.classwell.com/ebooks/images/mcd_geo/prove_arrow.gif align="absmiddle"]] || [[image:http://images.classwell.com/ebooks/images/mcd_geo/linesegment_ab.gif align="absmiddle"]] [[image:http://images.classwell.com/ebooks/images/mcd_geo/congruent.gif align="absmiddle"]] [[image:http://images.classwell.com/ebooks/images/mcd_geo/linesegment_st.gif align="absmiddle"]] ||





Write a complete proof by rearranging the reasons listed on the pieces of paper.


 * [[image:http://images.classwell.com/ebooks/images/mcd_geo/given_arrow.gif align="absmiddle"]] || [[image:http://images.classwell.com/ebooks/images/mcd_geo/linesegment_uv.gif align="absmiddle"]] [[image:http://images.classwell.com/ebooks/images/mcd_geo/congruent.gif align="absmiddle"]] [[image:http://images.classwell.com/ebooks/images/mcd_geo/linesegment_xy.gif align="absmiddle"]], [[image:http://images.classwell.com/ebooks/images/mcd_geo/linesegment_vw.gif align="absmiddle"]] [[image:http://images.classwell.com/ebooks/images/mcd_geo/congruent.gif align="absmiddle"]] [[image:http://images.classwell.com/ebooks/images/mcd_geo/linesegment_wx.gif align="absmiddle"]], [[image:http://images.classwell.com/ebooks/images/mcd_geo/linesegment_wx.gif align="absmiddle"]] [[image:http://images.classwell.com/ebooks/images/mcd_geo/congruent.gif align="absmiddle"]] [[image:http://images.classwell.com/ebooks/images/mcd_geo/linesegment_yz.gif align="absmiddle"]] ||
 * [[image:http://images.classwell.com/ebooks/images/mcd_geo/prove_arrow.gif align="absmiddle"]] || [[image:http://images.classwell.com/ebooks/images/mcd_geo/linesegment_uw.gif align="absmiddle"]] [[image:http://images.classwell.com/ebooks/images/mcd_geo/congruent.gif align="absmiddle"]] [[image:http://images.classwell.com/ebooks/images/mcd_geo/linesegment_xz.gif align="absmiddle"]] ||