Question

points a, b, and c show the locations of three trumpet players during a formation. when you translate points a, b, and c 5 units up, the triangle formed by the vertices is also translated 5 units up. how does a translation move a figure? complete the statement. a translation is a transformation that moves each point of a figure? in?

Explanation:

A translation in geometry is a transformation that moves each point of a figure the same distance and in the same direction. From the example of translating the triangle 5 units up, we see that each point (A, B, C to A', B', C') moves the same distance (5 units) and in the same direction (up). So the first blank should be "the same distance" and the second blank should be "the same direction" (or a specific direction like "up" in this case, but more generally, translation moves points the same distance and direction).

Answer:

A translation is a transformation that moves each point of a figure \(\boldsymbol{\text{the same distance}}\) in \(\boldsymbol{\text{the same direction}}\)