SOLUTION: if triangle abc is congruent to triangle tuv which statement is incorrect? angle c is congruent to angle v line bc is congruent to line uv abc is congruent to utv line ab is c

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Question 717073: if triangle abc is congruent to triangle tuv which statement is incorrect?
angle c is congruent to angle v
line bc is congruent to line uv
abc is congruent to utv
line ab is congruent to line tu
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
When you're told that triangle ABC is congruent to triangle TUV, you are told more than just the fact that the triangles are congruent.

The letters of the names of triangles represent vertices of the triangle. And usually the order of the letters is unimportant. But when a statement says that two triangles are congruent the order of the letters means something important. The first letters in the names of the triangle are corresponding vertices; the second letters are corresponding vertices and the third letters are corresponding vertices. Since corresponding parts of congruent triangles are congruent we know that if triangle abc is congruent to triangle tuv then:
  • Angle A is congruent to angle T
  • Angle B is congruent to angle U
  • Angle C is congruent to angle V
  • Side AB (which is between the first two vertices) is congruent to side TU
  • Side BC (which is between the second and third vertices) is congruent to side UV
  • Side AC (which is between the first and third vertices) is congruent to side TV
Except for "ABC is congruent to UTV" you should now what the answers are. For "ABC is congruent to UTV" (assuming this means "triangle ABC is congruent to triangle UTV") then this is false because the corresponding parts don't match up. If it had been "triangle BCA is congruent to triangle UVT", then it would be true because the same letters correspond with each other: B and U, C and V and A and T

P.S. Points should be named with capital/upper-case letters. And vertices of a triangle are just special points so they also should be named with capital letters.