Question

Triangle MNP is transformed according to the rule T(4,–1). What is the y-coordinate of M”?

Answer 1

3

Explanation:

Here, rule T(4,-1) means every vertex of the triangle MNP moves 4 units in the direction of positive x axis and 1 unit in direction of negative y axis.

After applying this rule the given triangle MNP moves in the Cartesian plane and a forms a new triangle (ΔM'N'P') which mention in the following way.

From the figure.

(1). The coordinate of point M is (-3,4) and it moves 4 units in the direction of positive x axis and 1 unit in the direction of negative y axis, then it form a new point M'(1,3).

(2). The coordinate of the point N is (-2, 1) and it moves 4 units in the direction of positive x axis and 1 unit in the direction of negative y axis then, it form a new point N'(2,0).

(3). The coordinate of the point P is (-4,2) and it move 4 units in the direction of positive x axis and 1 unit in the direction of negative y axis then, it form a new point P'(0,1)

Hence new ΔM'N'P' form which shown in the figure and y- coordinate of M (y -coordinate of M' in new Δ) is 3.

Answer 2

T(4,-1) means move 4 units to the right and 1 unit down.

Based on the image, M(-3,4) ; N(-2,1) ; P(-4,2)

So,
M:
-3 move 4 units to the right becomes 1
4 move 1 unit down becomes 3
M'(1,3)

N
-2 move 4 units to the right becomes 2
1 move 1 unit down becomes 0
N"(2,0)

P
-4 move 4 units to the right becomes 0
2 move 1 unit down becomes 1
P''(0,1)