Name,....-.L-A--'-'--"NS~\.IJE_((:...=-_~:..;' ~'_yf--___ class'"---_ _ _ oate_ _ __ 4-4 Practice FormK Using Corresponding Parts of Congruent Triangles 1. Developing Proof State why the two triangles are congruent. Then list all other corresponding parts ofthe triangles that are congruent. ~:::-- L T itA::;::: urrL¥t\r-A~ {XU is Q~~ T 'f..I, _ T Q ~~ R X 5 W r'-"_ ((' S'::: frJ f.-. ~Ptxy~ 2. Developing Proof State why the two triangles are congruent. Then list all other corresponding parts of the triangles that are congruent. t:l-YX ~ 7!l~[j Lpt~,,~t.CA Y X,,(= 'IX 3. Given: QSII RT, LR == LS Prove: LQTS:: LTQR To start, determine how you can prove AAXY and L\ClX are congruent. The triangles share a side and have a pair of congruent angles. Because C A QSlllfjl alternate interior angles LSQTand \d 8 X Y Q 5 R T ~ are congruent. The triangles can be proven congruent by AAS. Statements 1)-L as \\ ~-r) L~.:;"L'S> rJS) Lx<...1"6<. eD 3) Q'\ -===rcx. ~ 4) -L b~Q.:1 ~ A. ~T& 2) -L 1.. 5~T:S' 5) LQTS:L\TQK Reasons 1) Given 2) Alternate interior h are ::. 3) Reflexive Property ofCongruence 4)AAS 5) Corresp. parts of::.& are::. Reasoning Copy and mark the figure to show the given information. Explain how you would prove AB == DE. E Prentice Hall Geometry • Teaching Resources Name_-LAN....:;..:..=s,·vJ....;..;E=R~.K.;;;...t::-_,-...·.,y' .. --·_ _ _ _ Class _ _ _ _ Date____ f Practice 4-4 FormK (continued) Using Corresponding Parts of Congruent Triangles 7. Given: GK is the perpendicular bisector of FH. - - Prove: FG : HG Reasons Statements 1) 1) GK is the perpendicular bisector of FH. 2) ~ ~:£"' 'f~ GtVLVI 2) Def. ofperpendicular bis. 3) Def. ofperpendicular bis; all right .6 are :. 3) LGKF ;;:LGKH 4) Refl. Prop. of: r"'"V 5).l 5) AFGK ;;:MfGK _(I /'V......,.. /I f\::):;: 6) SAS, tt'D 6) Corresp. parts of: &. are :. w v 8. Developing Proof Complete the proof. Given: LWVZ and LVWX are right angles. WZ:VX Prove: VZ: WX To prove that right triangles AWVZ and AVWXare congruent, you must prove that the hypotenuses are congruent and that one . l is congruent. fX1 z X I~ Statements Reasons 1).lLuJV:l~ ~V 2).l iJ~= vX~ 3).l l:Tv 4) t.W Vf:.. -:: I- Vv:C ~VX l§) A wVi. ~4 VW-:z. lc) VE ~;;Ix 5) ~ rijkt L :So 1) Given 2) Given 3) Reflexive Property ofCongruence 4) 5) A II ';8 h-t '-~ CV"L tlL~ (p) tjJCTC Prentice Hall Geometry • Teaching Resources Copyright Ii:) by Pearson Education. Inc., or its affiliates. An Rights Reserved. 36 /'V
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