On graph paper, set up $x$- and $y$-axes for a four quadrant graph. Then draw a triangle with vertices at $(1,1),(5,1),\ \text{and}\ (6,3)$. Label this triangle T.  

1. Translate (slide) the triangle left $3$ units and down $4$ units. Label this triangle A and list the vertices.

2. Reflect triangle T across the $y$-axis. Label this triangle B and list the vertices.

3. Are triangles T, A, and B congruent (that is, do they have the same shape and size)? Explain.

   Hint(c):

   By translating or reflecting the triangle to a different position, has the original triangle changed?

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