I-Geometry
Semester 1 Quiz 9
Prize Show
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
1. Always, Sometimes or Never?
a) A triangle has 3 medians Always
b) A triangle has 3 altitudes Always
c) All 3 medians are inside the
Always
triangle
d) All 3 altitudes are inside the
Sometimes
triangle
2. a) How can you prove triangles
congruent?
SAS
ASA
SSS AAS
b) What does CPCTC stand for?
Corresponding
Parts of
Congruent
Triangles are
Congruent
3. D is the midpoint of MP.
MD = x + 6
MP = 3x – 2
Find PD
M
x+6
2(x + 6) = 3x – 2
2x + 12 = 3x – 2
14 = x
PD = 14 + 6 = 20
D
P
3x – 2
4. ∆JAB  ∆GWM
What is the measure of J?
5x + 4x – 5 + 3x + 5 = 180
12x = 180
J = G = 4(15) – 5 = 55
x = 15
J
B
M
(3x + 5)
(5x)
A
W
(4x – 5)
G
5. The sum of an angle’s
complement and its supplement is
10 more than 3 times the angle.
Find the measure of the angle’s
supplement.
90 – x + 180 – x = 10 + 3x
270 – 2x = 10 + 3x
260 = 5x
52 = x
supplement
180 – 52 = 128
6. ∆JAB  ∆GWM
Name the 6 pairs of congruent
parts.
J  G
A  W
B  M
JA  GW
AB  WM
JB  GM
G
E
7. a) If GO is a median,
then ____  ____
12
O
EO  OM
M
7. b) If GO is an altitude, then
_________, so ____  ____
1 & 2 are rt s,
so
1  2
8. a) 1 & 3 are ________
Vertical angles
b) 1 & 2 are ________
A linear pair
c ) 1 & 4 are ________
A linear pair
d) 2 & 4 are ________
Vertical angles
9. ∆YES  ∆BLA. Name all
congruent s and segments
Y  B
E  L
S  A
YS  BA
YE  BL
ES  LA
10. a) What conclusion can
you draw if GH is a median?
G
R
2 1
H
P
RH  HP
b) What conclusion can you
draw if GH is an altitude?
1 & 2 are rt s; and 1  2
11. Always, Sometimes,
Never
a) All of a triangle’s altitudes are
sometimes
inside the triangle
b) A median is also a side of the
never
triangle.
c) An altitude is also a side of the
sometimes
triangle.
12. Always, Sometimes,
Never
a) A triangle has 3 altitudes
always
b) A triangle has 4 medians
never
c) All of the medians are inside
the triangle.
always