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)
Responses
(0,1)
left parenthesis 0 comma 1 right parenthesis
(4,−3)
left parenthesis 4 comma negative 3 right parenthesis
(1,0)
left parenthesis 1 comma 0 right parenthesis
(−2,8)
, (−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)
Responses
(0,1)
left parenthesis 0 comma 1 right parenthesis
(4,−3)
left parenthesis 4 comma negative 3 right parenthesis
(1,0)
left parenthesis 1 comma 0 right parenthesis
(−2,8)
Answers
GPT-4o mini
To find the lowest vertex of the triangle after translating it 5 units up and 2 units to the right, we first need to determine the lowest vertex of the original triangle formed by the vertices:
1. (−4, 3)
2. (−1, −5)
3. (−2, 6)
Among these, the lowest vertex (with the smallest y-coordinate) is (−1, −5).
Next, we will translate this vertex by adding 5 to the y-coordinate and 2 to the x-coordinate:
1. Translating x-coordinate: -1 + 2 = 1
2. Translating y-coordinate: -5 + 5 = 0
So, after translation, the coordinates of the lowest vertex are (1, 0).
Thus, the correct answer is:
**(1,0)**
1. (−4, 3)
2. (−1, −5)
3. (−2, 6)
Among these, the lowest vertex (with the smallest y-coordinate) is (−1, −5).
Next, we will translate this vertex by adding 5 to the y-coordinate and 2 to the x-coordinate:
1. Translating x-coordinate: -1 + 2 = 1
2. Translating y-coordinate: -5 + 5 = 0
So, after translation, the coordinates of the lowest vertex are (1, 0).
Thus, the correct answer is:
**(1,0)**