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

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