CAAG
Test Review Unit 7B
Name _____________________________________
Congruent Triangles
1.
Name the congruent triangles shown in the diagrams and state the postulate or theorem you would use.
L
a.
B
T
b.
c.
M
C
S
A
M
K
E
N
R
H
d.
2.
N
L
e.
State the third congruence that is needed to prove that
a. GIVEN: DE  AB , D
USE: AAS Congruence
ABC  DEF .
E
 A
B
F
3.
b. GIVEN: DE  AB , D
USE: SAS Congruence
 A
c. GIVEN: DE  AB , D
USE: ASA Congruence
 A
Given
D
C
A
Q  V and the figure shown, which statement is NOT necessarily true?
QAM  VWM
QWA  VAW
c. QAM  VMW
d. WAM is isosceles
a.
V
Q
b.
4.
Complete the congruence statement
a.
b.
c.
d.
GJH  IJH by HL
GJH  IHJ by HL
GJH  IJH by SAS
GJH  IHJ by SAS
M
A
W
GJH  ___ by ____.
G
J
H
I
1
Points of Concurrency
5.
Define each and name the point of concurrency found by each:
a. Altitudes:
b. Medians:
c. Perpendicular Bisectors
d. Angles Bisectors:
6.
Which points of concurrency may lie outside the triangle? Which are always inside the triangle?
7.
By the Concurrency of Perpendicular Bisectors
E
Theorem, if QJ , QK , and QL are perpendicular
bisectors, then ? . (multiple choice)
J
a.
b.
c.
d.
8.
9.
JQK  KQL  LQJ
DE = EF = FD
QD = QE = QF
EQK  FQL  DQJ
K
Q
D
L
In the diagram, GE, GD and GF are
perpendicular bisectors of the sides of the triangle.
G is the ____________________ of the triangle.
a. circumcenter
b. incenter
c. orthocenter
d. centroid
e. center
F
C
G
E
F
A
D
B
In the diagram at the right, the angle bisectors of KLM meet at point N.
Q is the midpoint of KM . Find NP.
10.
Find each missing value.
a. Find CD.
11.
b. Find the value of x.
Explain each theorem in your own words, using diagrams.
a. Midsegment Theorem
b. Perpendicular Bisector Theorem
c. Concurrency of Perpendicular Bisectors Theorem
d. Angle Bisector Theorem
e. Concurrency of Angle Bisectors Theorem
f. Concurrency of Medians Theorem
2
Study your two quizzes and your previous test in addition to worksheets. Here are some application problems
to help you practice.
12. Given rhombus PQRS with m P  2 x  10 and m S  3x  5 , what is m Q ?
13. A rhombus has diagonals of length 130 and 144. Find the perimeter of this rhombus.
14. ABC has vertices at A  4, 9  , B  10, 3 , and C  7,  6 
a. Find the equation of the median from C
b. Find the equation of the midsegment from AB to BC
15. ABCD is a parallelogram. FG is the perpendicular bisector of AD. AD = 12 inches and AB = 15
inches. Label your drawing using this information. Does FG also bisect DB? Will FG bisect BC?
Explain your reasoning.
A
F
B
G
D
C
3