jaydin draws a triangle on the coordinate grid. Its vertices are at (-4,3), (-1,5), (-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?

Answer 1

To find the new coordinates of the triangle's vertices after the translation, we first need to identify the lowest vertex of the original triangle.

The vertices of the triangle are:

• \( A(-4, 3) \)
• \( B(-1, 5) \)
• \( C(-2, 6) \)

To determine the lowest vertex, we compare the y-coordinates:

• Vertex \( A \) has a y-coordinate of 3.
• Vertex \( B \) has a y-coordinate of 5.
• Vertex \( C \) has a y-coordinate of 6.

The lowest vertex is \( A(-4, 3) \).

Next, we perform the translation:

• Move 5 units up means we increase the y-coordinate by 5.
• Move 2 units to the right means we increase the x-coordinate by 2.

Now we apply these transformations to the coordinates of vertex \( A \):

• The new x-coordinate: \( -4 + 2 = -2 \)
• The new y-coordinate: \( 3 + 5 = 8 \)

Thus, the coordinates of the lowest vertex on the translated triangle are: \[ \boxed{(-2, 8)} \]