Question

determine the coordinates of point k so that quadrilateral abdc is similar to quadrilateral elkf.

Explanation:

Step1: Identify coordinates of ABDC

A(1,2), B(1,4), D(2,6), C(3,2)

Step2: Identify coordinates of ELF

E(5,2), L(5,6), F(9,2)

Step3: Find scale factor

AC length: 3-1=2; EF length:9-5=4 → scale factor=4/2=2

Step4: Map D to K using scale

D - A vector: (2-1,6-2)=(1,4); K - E vector: (1×2,4×2)=(2,8); K=(5+2,2+8)=(7,10)

Answer:

(7,10)