Geometry - Unit 4
Unit 4 Review Jeopardy
Terms
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$500
Congruent
Polygons
Congruent
Triangles
Angle
Measures
Proofs
$100
$200
$300
$400
$500
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$200
$300
$400
$500
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100
The congruent sides of an isosceles triangle
are called the ________.
legs
200
A statement that follows immediately from a
theorem is called a/an _______________.
corollary
300
The side across from the right angle of a right
triangle is called the _________________.
hypotenuse
400
The side across from the vertex angle of an
isosceles triangle is called the _________.
base
500
What does CPCTC stand for?
Corresponding Parts
of Congruent
Triangles are
Congruent
100
Congruent polygons must have __________
________ sides and angles.
congruent corresponding
200
Given the two congruent polygons below, polygon
ABEF is congruent to polygon _________.
A
F
B
C
E
CBED
D
300
Given that ABC  XYZ , mA  63, and mZ  72
find mC.
mC  72
400
If you are given an isosceles ΔDEF with
vertex angle F , DE  10, DF  15, and we
know that DEF  GHI, find HI.
HI = 15
500
Given that polygon ABCDEFG is congruent to
polygon MNKPLQR, find the value of x in the
following figures.
P
A
B
K
103°
L
135°
C
G x°
F
98°
E
161°
D
N 143°
135°
M
x = 130°
x°
y°
R
Q
100
Decide whether the following triangles can be
proven congruent. If so, tell the postulate or
theorem which proves it. If not, state not possible.
SSS Postulate
200
Decide whether the following triangles can be
proven congruent. If so, tell the postulate or
theorem which proves it. If not, state not possible.
AAS Theorem
300
Decide whether the following triangles can be
proven congruent. If so, tell the postulate or
theorem which proves it. If not, state not possible.
Not Possible
400
Decide whether the following triangles can be
proven congruent. If so, tell the postulate or
theorem which proves it. If not, state not possible.
HL Theorem
500
Decide whether the following triangles can be
proven congruent. If so, tell the postulate or
theorem which proves it. If not, state not possible.
ASA Postulate
100
Find the value of z in the following figure.
z = 90
200
Find the value of x in the following figure.
x = 75
300
Find the value of y in the following figure.
y = 20
400
Find the value of x in the following figure.
x = 65
500
Find the value of c in the following figure.
B
C
c°
A
D
E
F
c = 90
ABCDEF is
a regular
hexagon
100
Which definition, property, theorem, or postulate
proves the following.
If mA  mC  63, then AB  BC .
B
A
C
Converse of Isosceles
Triangle Theorem
200
Complete the proof of the following proof.
A
Given : AB  DB
AD bisects EC
Prove : ABE  DBC
E
B
C
D
Statements
Reasons
1. AB  DB , AD bisects EC 1. Given
2. EB  CB
2. Defn. of bisector
3. ABE  DBC
3. Vertical angles theorem
4. ABE  DBC
4. SAS Postulate
300
Complete the following proof.
F
Given : H is the midpoint of GK
HF  HJ, FG  JK
Prove : FGH  JKH
Statements
G
J
H
Reasons
1. H is the midpoint of GK
1. Given
2. GH  KH
2. Definition of Midpoint
3. HF  HJ, FG  JK
3. Given
4. FGH  JKH
4. SSS Postulate
K
400
Prove the following.
Given : GH  JH , GHI  JHI
Prove : G  J
Statements
Reasons
1. GH  JH , GHI  JHI
1. Given
2. HI  HI
2. Reflexive property of congruence
3. GHI  JHI
3. SAS Postulate
4. G  J
4. CPCTC
500
Complete the following proof.
Statements
1. JM  WP, JP || MW
Reasons
1. Given
JP  PM
2. PM  MW
2. If line to 1 of 2 || lines, its  to the other
3. WMP and JPM are rt. s
3. Defn. of perpendicular
4. JMP and WPM are rt. s
4. Defn. of right triangles
5. PM  PM
5. Reflexive property of congruence
6. JMP  WPM
6. HL Theorem
Insert Question
Insert Answer
FINAL
JEOPARDY
Enter Title Here
?
Solve the following system of equations
3x  5 y  7
4x  2 y  7
x = 3/2, y = 1/2