Question

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) (0,1) (4,-3) (1,0) (-2,8)

Explanation:

Step1: Recall translation rules

For a point $(x,y)$, translating 5 units up and 2 units to the right gives the new point $(x + 2,y+5)$.

Step2: Apply translation to each vertex

For vertex $(-4,3)$: New coordinates are $(-4 + 2,3 + 5)=(-2,8)$.
For vertex $(-1,-5)$: New coordinates are $(-1+ 2,-5 + 5)=(1,0)$.
For vertex $(-2,6)$: New coordinates are $(-2+ 2,6 + 5)=(0,1)$.

Step3: Find the lowest vertex

Compare the $y$-coordinates of the new - vertices $(-2,8),(1,0),(0,1)$. The point with the lowest $y$-coordinate is $(1,0)$.

Answer:

C. $(1,0)$