t:l-YX ~ 7!l~[j Lpt~,,~t.CA

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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
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--·_ _ _ _ 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
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