Math Help Please?

Question

http://i13.tinypic.com/7yf6txd.gif
1: Use this information to answer #1-4. The wording will tell you which parts are equal. 

Can you prove congruence in figure 1? If so, with what postulate? 

SSS 
ASA 
SAS 


2: Can you prove congruence in figure 2? If so, with what postulate?
SSS 
SAS 
Canï¿½t prove congruence 


3: Can you prove congruence in figure 3? If so, with what postulate?
SSS 
ASA 
Canï¿½t prove congruence 


4: Can you prove congruence in figure 4? If so, with what postulate?
ASA 
SAS 
Can't prove congruence 

http://i12.tinypic.com/6u8eov5.gif
5: Use this information to answer #5-8. The diagrams will tell you which parts are equal; equal parts have the same markings, as with the diagrams in the past few lessons. 

Can you prove congruence in figure 5? If so, with what postulate? 
SSS 
ASA 
Can't prove congruence 


6: Can you prove congruence in figure 6? If so, with what postulate?
ASA 
SAS 
Can't prove congruence 


7: Can you prove congruence in figure 7? If so, with what postulate?
SSS

traveller · Accepted Answer

1.SAS
Two sides of 2 triangles are equal,so opposite angles(formed by these sides) will also be equal.So, ang.AOC=ang.BOD.Since the equal angle(A for Angle) is between equal sides(S for Sides),postulate is SAS.

2.SAS again
Sides QS=SR(given)
PS=PS(common)
ang PSQ=ang PSR(90 deg each given)

3.ASA
ang P=ang R
ang POQ=ang ROS(opposite angles are equal)
PO=OR(given)
Here side in between angles in equal so postulate is ASA.

4.SAS again
Sides XY=YZ(given)
WY=WY(common)
ang XYW=ang WYZ(angle is bisected given)

5.ASA....see reason in ans 3
6.ASA....see reason in ans 3
7.SSA or SAS....here again two sides are equal and one angle is equal.
If you do not have SSA,then mark SAS as correct.
SSA stands for the case when two sides are equal and angle not formed by those two sides is equal.this is the case here.



8.AAA....all corresponding angles are equal

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Math Help Please?

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