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Triangles and Congruence

Choose the best answer for each question.

General Questions


Which of the following is NOT a congruence statement for proving triangles are congruent?
1. 








If two sides and the included angle of one triangle are congruent to two sides and they included angle of another triangle then the triangles are congruent by ….
2. 








Triangle ABC has vertices of A(2,2), B (2,-2) and C (5,-2)
 
Triangle XYZ has vertices of X(4,4), Y(4,0), and Z(7,0)
 
Which of the following can NOT be used to prove that the triangles are congruent?
3. 







Question Group #2
Directions and/or Common Information: 
Use the following diagram for the next 7 questions:
 
 


Which of the following allows us to say that angle AXB is congruent to angle DXC?
1. 








Why is angle XBA congruent to angle XCD?
2. 








What information is missing from the diagram that we can use to prove triangle AXB is congruent to triangle DXC using ASA?
3. 








If X is the midpoint of BC, what would be the reason that XB is congruent to XC?
4. 








If BC bisects AD at point X what would be the reason that XA is congruent to XD?
5. 








If the information in #4 and #5 is considered to be a given, how could we prove the triangles are congruent?
6. 








IF AB is congruent to CD and the information in #4 and #5 is considered to be a given, then which of the following is NOT a usable congruence statement?
7. 











S Bay

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