Question

Triangle XYZ, with vertices X(-1, -3), Y(-1, -1), and Z(-3, -1), is translated 2 units right and one unit down to form triangle X′Y′Z′. What are the coordinates of the vertices of triangle X′Y′Z′?
A. X′(1, 4), Y′(1, -2), and Z′(-1, 0)
B. X′(1, -4), Y′(1, -2), and Z′(-1, -2)
C. X′(-1, 4), Y′(-1, 2), and Z′(1, 0)
D. X′(1, -4), Y′(1, -2), and Z′(-1, 0) E. X′(-3, -4), Y′(-3, -2), and Z′(-5, -2)

Answer 1

The rule of transformation 2 units right and one unit down will be as following:

( x , y ) ⇒⇒⇒ ( x+2 , y-1 )

The vertices of triangle XYZ are X(-1, -3), Y(-1, -1), and Z(-3, -1)

After transformation the coordinates of the image X′Y′Z′ can be calculated as following:

X' = ( -1+2 , -3-1) = (1 , -4)

Y' = ( -1+2 , -1-1) = (1 , -2)

Z' = ( -3+2 , -1-1 ) = ( -1 , -2 )

So, the correct answer is option B

B. X′(1, -4), Y′(1, -2), and Z′(-1, -2)

Answer 2

Answer:

the answer is b

Step-by-step explanation: