Question

Square GYTD has vertices G(−4,3), Y(0, 3), T(0,−1) and D(−4,−1). ​Square GYTD​ is translated 2 units left and 2 units up to produce square G'Y'T'D'.

Which coordinates describe the vertices of the image?


a. G'(−2, 1), Y'(2, 1), T'(2, −3), and D′(−2, −3)

b. G'(−6, 5), Y'(−2, 5), T'(−2, 1), and D′(−6, 1)

c. G'(−2, 5), Y'(2, 5), T'(2, 1), and D′(−2, 1)

d. G'(−6, 1), Y'(−2, 1), T'(−2, −3), and D′(−6, −3)

Explain so i can understand how to do it.

Answer 1

Answer:

Option @ Aaaaaaaaaaaaaaaaa

Answer 2

Answer:

Option B is the correct answer.

Step-by-step explanation:

Coordinates are pairs of numbers used to specify the location of a point in two-dimensional space, usually represented by the x and y axes. In a Cartesian coordinate system, the x-coordinate indicates the horizontal position of the point and the y-coordinate indicates the vertical position of the point. 

To translate a point 2 units left and 2 units up, we subtract 2 from the x-coordinate and add 2 to the y-coordinate.

So, the new coordinates for each vertex are:

G': $(-4 - 2, 3 + 2) = (-6, 5)$

Y': $(0 - 2, 3 + 2) = (-2, 5)$

T': $(0 - 2, -1 + 2) = (-2, 1)$

D': $(-4 - 2, -1 + 2) = (-6, 1)$

Therefore, the vertices of the image square G'Y'T'D' are. $(-6, 5), (-2, 5), (-2, 1), and (-6, 1).$

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