Jaydin draws a triangle on the coordinate grid. Its vertices are at (−4,3), (−1,−5), and (−2,6). He translates this triangle 5 units up and 2 units to the right. What are the coordinates of the lowest vertex on the translated triangle?(1 point)

Question

Responses

(−2,8)
left parenthesis negative 2 comma 8 right parenthesis

(4,−3)
left parenthesis 4 comma negative 3 right parenthesis

(0,1)
left parenthesis 0 comma 1 right parenthesis

(1,0)
left parenthesis 1 comma 0 right parenthesis

Answer 1

To find the coordinates of the lowest vertex of the triangle after it has been translated, we first need to identify the lowest vertex from the original triangle's vertices.

The original vertices of the triangle are:

• A(−4, 3)
• B(−1, −5)
• C(−2, 6)

Among these vertices, B(−1, −5) has the lowest y-coordinate, which makes it the lowest vertex.

Next, we apply the translation of 5 units up and 2 units to the right:

• To move 5 units up, we add 5 to the y-coordinate.
• To move 2 units to the right, we add 2 to the x-coordinate.

Starting with vertex B(−1, −5):

1. Moving 2 units to the right:
   • x-coordinate: −1 + 2 = 1
2. Moving 5 units up:
   • y-coordinate: −5 + 5 = 0

After the translation, the new coordinates of vertex B will be (1, 0).

Thus, the coordinates of the lowest vertex on the translated triangle are: (1, 0).