DRAWING A DILATION

Use the following steps to construct a dilation (k  =  2) of a triangle using a straightedge and a compass.

Step 1 :

Draw ΔXYZ and choose the center of the dilation C. Use a straightedge to draw lines from C through the vertices of the triangle.

Step 2 :

Use the compass to locate X' on CX so that

CX'  =  2(CX)

Locate Y' and Z' in the same way.

Step 3 :

Connect the points X', Y' and Z'.

In the construction above, notice that

ΔXYZ ∼ ΔX'Y'Z'

We can prove this by using the SAS and SSS Similarity Theorems.

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.