Chapter 2
1(3x+x2 +8)=8x+x2-7 given
3x+x2+8=8x+x2-7
distributive Property
t||b given
<5 and <6 are supplementary given
<6 is cong. to <3
if || then alt. int. < cong.
triangle BWS and tri. JSH are right tri. given
< BWS and < JSH are cong.
right < cong.
3x+x2+8=8x+x2-7 distributive property
3x+x2+15=8x+x2
addition
<6 is cong. to <3 if || then alt. int. < cong.
<5 is cong. to < 4
if || then alt. int. < cong.
<BWS and <JSH are cong. right < cong.
BW and JH are cong.
given
3x+x2+15=8x+x2 addition property
3x+15=8x
subtraction property
<5 is cong. to < 4 if || then alt. int. < cong.
<3 and < 4 supp.
transitive
S is the midpoint of WH given
WA is cong. to SA
def. of midpoint
3x+15=8x subtractin property
5x=15
subtraction property
<3 and <4 are supp. transitive
<4 and <1 are cong.
vertical < cong.
WS is cong. to SA def. of midpoint
tri. BWS and tri. JSH are cong.
HL
5x=15 subtraction property
x=3
division property
<4 and <1 are cong. verical < cong.
<3 and <1 are supp.
transitive