Name: __________________________________
Date: ______________________
PRACTICE WITH THE HINGE THEOREM
PART 1: Complete each statement with >, <, or =. (HINT: Mark the 2nd set of
aren’t already marked)
sides, if they
1. AB _____ DE
2. GF _____ LM
3. m 1 ___ m 2
4. MS _____ LS
5. m 1 ___ m 2
6. KD _____ CP
7. m 1 ___ m 2
8. m 1 ___ m 2
9. m 1 ___ m 2
10. TP _____ AG
PART 2: Write an inequality to describe the restrictions on the value of x.
11.
EXAMPLE
12.
13.
x > 13
PART 3: What is the largest angle (of a triangle) in each picture?
14.
8
6
15.
6
9
6
8
10
8
10
8
PART 4: Use the given information to determine what triangles you should be looking at; then
match each set of information with the appropriate conclusion.
A. m 7 > m 8
B. AD > AB
C. AE = EC
16.
AB = BC and
2
ABE and
17.
AE > EC and AD = CD
ADE and
18.
m 9 < m 10 and BE = ED
1
CBE
A. ED > AD
B. AF > AB
C. m 12 = m 3
D. AB < BC
E. FD > BD
F. AE > AC
19.
AF = AB and m 1 > m 2
ABD and AFD
20.
AF = FE and m 11 > m 12
AFD and
21.
m 7 < m 8 and FD = BD
22.
AF = AB and FD = DB
23.
ED = CD and m 9 +m 8 > m 7 + m 6
24.
AD = DC and m 6 > m 7
Other practice problems for our quiz . . . visit wikipage and go to the CP Geometry textbook.
Look at Sections 4.1, 4.2, 4.8, and 5.6.