Download Chapter 5 Review Guide! EBY Identify AD in each triangle as the

Chapter 5 Review Guide!
EBY
1. Identify AD in each triangle as the median, perpendicular bisector, altitude or angle bisector.
A
A
C
B
D
C
D
A
C
A
D
B
C
D
B
2. Draw
PRS as an acute scalene triangle with PT as the altitude and PX as the median of the
triangle.
a. Find RS if RX=x+7 and SX=3x-11. RS=_________
b. Find RT if RT+x-6 and m<PTR=8x-6. RT=_________
E
3.
H
D
GI is a perpendicular bisector. Find x if EH=16 and FH=6x-5. X=_________
Find z if m<EGH =12z. z=__________
G
I
F
4.Draw
Draw
ABC with m<A=35 ̊ and m<B=125 ̊. List the sides from shortest to longest.
DEF with sides DE=15, EF=10 and DF=12. List the angles from smallest to greatest.
5.Determine the relationship between the measures of the given sides or angles. C
22
U
T
<R ___<RUS
30
<T___<UST
35
24
24
<UVS___<R
30
21.6
AC___BC
30
BC___DB
R
A
S
B
13
25
V
D
AC___DB
R
6. List:
All <s less than m<1 by Exterior < Inequality Theorem:_______________________
All <s less than m<9 by Exterior < Inequality Theorem:_______________________
All <s greater than m<5 by Exterior < Inequality Theorem:_______________________
All <s greater than m<8 by Exterior < Inequality Theorem:_______________________
2
1
7.
4
7
3
5
6
8
9
Can these measures form a triangle? Why or why not?
2, 3, and 4? ___________________
4, 8, and 11?___________________
20, 22, and 2? __________________
8.
Find the range for the measure of the third side of the triangle with side lengths:
12 and 23 ____________________
37 and 16 ____________________
9.
Write the assumption you would make to begin an indirect proof for the statements:
“Mrs. Eby loves geometry.”
“If 5x=10, then x=2.”
10.
Smile because you LOVE Geometry!!! 