What series of transformations map △abc onto △def to prove that △abc≅△def ?

a reflection across y-axis then translation of 3 units right and 5 units up

a clockwise rotation of 180° about the origin then a translation 3 units right and 1 unit up

a reflection across y-axis then translation of 1 unit right and 1 unit down

a reflection across y = x then a translation of 2 units right and 4 units up

Option D is correct

A reflection across y = x , then a translation of 2 units right and 4 units up

Step-by-step explanation:

In triangle ABC

The coordinates are:  

A = (0,3) , B =(-2 , 6) and C = (2 , 6)

First do reflection across y =x :

The rule of reflection across y=x is:

then;

Now, apply translation of 2 units right and 4 units up.

The rule of translation:

=D (5, 4)

= F(8, 2)   and

=E(8, 6)  

therefore, a reflection across y = x , then a translation of 2 units right and 4 units up prove the △ABC≅△DEF

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )

never fear papaguy is here

answer