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Square TUVW with vertices T(-6,1), U(-1,0), V(-2,-5), and W(-7,-4):

(a) Reflection: in the y-axis (b) Translation (x,y) —> (x-5,y+7)

A. (4,7)

B. (-5,7)

C. (1,0)

D. (-4,7)

Respuesta :

calculista

Answer:

Option D (-4,7)

Step-by-step explanation:

we have

Square TUVW with vertices T(-6,1), U(-1,0), V(-2,-5), and W(-7,-4

The question is

Find out the coordinates of U'

Part a) Reflection: in the y-axis

we know that

The rule of the reflection of a point across the y-axis is

(x,y) -----> (-x,y)

so

U(-1,0) -----> U'(1,0)

Part b) Translation (x,y) —> (x-5,y+7)

That means ---> the translation is 5 units at left and 7 units up

so

U'(1,0) -----> U''(1-5,0+7)

U'(1,0) -----> U''(-4,7)

therefore

Option D (-4,7)

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