Tenth Grade Math
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   Tenth Grade Math Worksheets

 

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Date ___________________
Congruent Triangles
If the two triangles can be proved congruent, state the postulate to prove they are congruent.
If you can use more than one way to prove, state all methods.
Triangles may not be drawn to scale.

1.  
Given:
BAC and DFE are 90
CBA EDF
ACB FED
AC FE

Prove: ABC FDE
2.  
Given:
AB CD
BC DA

Prove: ABC CDA
3.  
Given:
CBA and EDF are 90
ACB FED
BAC DFE
AB FD

Prove: ABC FDE
4.  
Given:
ADB CEB
DBA EBC
AB CB

Prove: ABD CBE
5.  
Given:
CBA ADC
BAC DCA
AB CD

Prove: ABC CDA
6.  
Given:
AB DE
BC EF
BAC EDF

Prove: ABC DEF
7.  
Given:
BAC and DEC are 90
BC DC
AB ED
AC EC

Prove: ABC EDC
8.  
Given:
BC EF
AC DF
ACB DFE

Prove: ABC DEF
9.  
Given:
AB CB

Prove: ABD CBE
10.  
Given:
BAC EDF

Prove: ABC DEF