Triangle XYZ, with vertices X(-2, 0), Y(-2, -1), and Z(-5, -2), undergoes a transformation to form triangle X′Y′Z′, with vertices X′(4, -2), Y′(4, -3), and Z′(1, -4). The type of transformation that triangle XYZ undergoes is a (1: translation 2 units left and 6 units up, 2: Reflection across the y-axis, 3: Reflection across the x-axis, 4: Translation 6 units right and 2 units down, 5: Dilation by scale factor 2. Choose the Correct answer.

4. Translation 6 unit right and 2 units down.

Step-by-step explanation:

Let' take the point and it's corresponding image.

x(-2,0) and x'(4,-2)

Now,let's find the translation

-2+? =4

0+? =-2

Now, if we solve each for ?, we get

-2+?=4, gives ? =6

0+?=-2 gives ?=-2

It means the translation is move right 6 units and down 2 units.

So, option 4 is right.

here you hope this .

step-by-step explanation:

hypotenuse = √(15² + 8²)

=  √(225 +64)

=  √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5