Independent Practice Name ______________________
SSS, SAS, & HL (4.3-4.4)
Period ___________
Date ___________
Determine if the congruence statement is true based on the given information. Explain your reasoning.
1.
1. ACE BDF 2. IHJ KHJ
Decide whether enough information is given to prove that the triangles are congruent using the SAS congruence postulate.
3. MAE , TAE 4. DKA , TKS
State the third congruence that must be given to prove that JRM DFB using the indicated postulate.
5. GIVEN:
JR DF
,
JM DB
____ ____ Use the SSS Congruence Postulate.
6. GIVEN:
JR DF
,
JM DB
____ ____ Use the SAS Congruence Postulate.
7. GIVEN:
RJ FD
, J is a right angle and
J D , ____ ____ Use the HL Theorem.
8.
Picture Frame The backs of two different picture frames are shown below. Which picture frame is stable? Explain your reasoning.
9.
Complete the proof by providing the correct reason for each statement.
GIVEN: AB CD , BC AD
PROVE: ABC CDA
Statements
1.
AB CD
Reason
1.
2.
BC AD 2.
3.
AC AC 3.
4.
ABC CDA 4.
10.
Write a plan of how you would prove MON RNO .
11.
Complete the proof by providing the missing information.
GIVEN: B is the midpoint of AE .
B is the midpoint of
CD
.
PROVE: ABD EBC
Statements Reasons
1.
B is the midpoint of AE . 1.
2.
Definition of midpoint 2.
3.
B is the midpoint of CD .
4.
3.
4.
Definition of midpoint
5.
ABD EBC
6.
ABD EBC
5.
6.