Question

A triangle has vertices left parenthesis, negative 3 , negative 2 , right parenthesis , left parenthesis, 0 , 5 , right parenthesis−3, −2, 0, 5and left parenthesis, 4 , 2 , right parenthesis4, 2.What are the vertices after translating the triangle 3 units up?

Answer 1

To translate a triangle upwards by 3 units, you need to add 3 to the y-coordinate of each vertex. The original vertices of the triangle are:

1. \((-3, -2)\)
2. \((0, 5)\)
3. \((4, 2)\)

Now, let's apply the translation:

1. For the vertex \((-3, -2)\):
\[
(-3, -2 + 3) = (-3, 1)
\]

2. For the vertex \((0, 5)\):
\[
(0, 5 + 3) = (0, 8)
\]

3. For the vertex \((4, 2)\):
\[
(4, 2 + 3) = (4, 5)
\]

Thus, after translating the triangle 3 units up, the new vertices are:

1. \((-3, 1)\)
2. \((0, 8)\)
3. \((4, 5)\)