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△XYZ is translated up 3 units to form the image ∆X′Y′Z′.

What are the coordinates of the vertices of ∆X′Y′Z′ ?

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X′ =

Y′ =

Z′ =

Picture:

A right triangle on a grid with a range from negative eight to eight on the x and y axis whose coordinates are negative four comma six for point X, six comma one for point Y, and one comma one for point Z on a grid

Question

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Respuesta :

erinna erinna · Answer 1 · 2020-11-25T01:56:48+01:00

Given:

Vertices of △XYZ are X(-4,6), Y(6,1) and Z(1,1).

To find:

The vertices of ∆X′Y′Z′.

Solution:

According to the question, △XYZ is translated 3 units up to form the image ∆X′Y′Z′, so rule of translation is defined as

[tex](x,y)\to (x,y+3)[/tex]

Now,

[tex]X(-4,6)\to X'(-4,6+3)[/tex]

[tex]X(-4,6)\to X'(-4,9)[/tex]

Similarly,

[tex]Y(6,1)\to Y'(6,1+3)[/tex]

[tex]Y(6,1)\to Y'(6,4)[/tex]

and,

[tex]Z(1,1)\to Z'(1,1+3)[/tex]

[tex]Z(1,1)\to Z'(1,4)[/tex]

Therefore, [tex]X'=(-4,9),Y'=(6,4),Z'=(1,4)[/tex].