Determine whether ∆def=∆jkl, given that d(2,0), e(5,0), f(5,5), j(3,-7), k(6,-7), and l(6,-2)

Yes , triangle DEF is congruent to JKL

Step-by-step explanation:

Given:

The coordinates of triangle DEF are;

D (2, 0)

E(5. 0)

F(5, 5)

and

the coordinates of triangle JKL are:

J(3, -7)

K(6, -7)

L (6, -2)

The rule of translation is used on triangle DEF to get triangle JKL:

i.e

=  J

=  K

= L

As, we know that two triangles are known as congruent if there is an isometry mapping one of the triangles to the other.

therefore, triangle DEF congruent  to triangle JKL

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8