Question

To create this diagram:

Triangle JKL was translated so that I goes to L.
• Triangle JKL was then translated so that J goes to K.
M
Name a triangle congruent to triangle LKN.

Answer 1

A triangle congruent to triangle LKN is triangle NPL(Side-Side-Side, SSS).

What is congruence?

Congruence is a geometric concept indicating equality of shape and size. Two figures are congruent if they have the same size and shape, often denoted by the symbol ≅ in mathematical notation.

Triangles are congruent if their corresponding sides and angles are equal. This is expressed by the Side-Angle-Side (SAS), Angle-Side-Angle (ASA), Side-Side-Side (SSS), and Right-Angle-Hypotenuse-Side (RAH) conditions.

From the figure

KLPN is a parallelogram

PL is congruent to NK(definition of ||gm)

Also

PN is parallel and congruent to LK

LN is congruent to LN ( reflective property)

∆LKN is congruent to ∆NPL(Side-Side-Side SSS).

A triangle congruent to triangle LKN is triangle NPL