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4-4 Practice

Using Corresponding Parts of Congruent Triangles

FormK

1 Developing Proof State why the two triangles are Q T congruent Then list all other corresponding parts ofthe triangles that are congruent ~--L T ~~ itA urrLyentr-A~ XU is I Q~~ T f- R 5 W X

_ r-_

(( S frJ f- 2 Developing Proof State why the two triangles are

A C congruent Then list all other corresponding parts

~Ptxy~ of the triangles that are congruent

tl-YX ~ 7l~[j Lpt~~tCAY dX(= IX X Y 3 Given QSII RT LR == LS

8 Q R

Prove LQTS LTQR

To start determine how you can prove AAXYand LClX are congruent The triangles share a side and have a pair of congruent

5 Tangles Because QSlllfjl alternate interior angles LSQTand

~ are congruent The triangles can be proven congruent by AAS

Statements

1)-L as ~-r) L~LSgt rJS) 2) -L 1 5~TS Lxlt16lt eD 3) Q -===rcx ~ 4) -L b~Q1 ~A~Tamp

5) LQTSLTQK

Reasons

1) Given

2) Alternate interior h are

3) Reflexive Property ofCongruence

4)AAS

5) Corresp parts ofamp are

Reasoning Copy and mark the figure to show the given

information Explain how you would prove AB == DE

E

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FormKPractice (continued)

4-4 Using Corresponding Parts of Congruent Triangles

7 Given GK is the perpendicular bisector of FH

Prove FG HG

Statements Reasons

1) GK is the perpendicular bisector of FH

2) ~ ~pound f~ 3) LGKF LGKH

5) AFGK MfGK

_(I V I 6) f) ttD

1) GtVLVI

2) Def ofperpendicular bis

3) Def ofperpendicular bis all right 6 are

4) Refl Prop of rV

5)l SASshy

6) Corresp parts of amp are

8 Developing Proof Complete the proof v w Given LWVZ and LVWXare right angles

WZVX Prove VZ WX fX1

z X To prove that right triangles AWVZ and AVWXare congruent you must prove that the hypotenuses are congruent and that one l is congruent I~ Statements Reasons

1)lLuJVl~ ~V ~ Lrijkt So

2)l iJ~= vX~ 3)l lTv ~VX lsect)

4) tW Vf - I- VvC

5) A wVi ~4 VW-z lc) VE~Ix

1) Given

2) Given

3) Reflexive Property ofCongruence

4) A II 8 h-t -~ CVL V

5) tlL~ (p) tjJCTC

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