484,984 views
15 votes
15 votes
Use a compass and straightedge to construct a dilation of LMN with the given center and scale fact K

Use a compass and straightedge to construct a dilation of LMN with the given center-example-1
User Notnotundefined
by
3.0k points

1 Answer

13 votes
13 votes

Kindly check below

1) The first step, is to trace a ray from the center of dilation "C" to point M:

2) Now, with a compass with the same distance CM we can mark, and with the needlepoint at M we can mark.

Notice that the thicker mark points out that now the distance from C to there is twice the distance from C. The next thing to do is to repeat the process. From point C passing through L and then through N. We get the image points L', M', and N' twice larger than the pre-image.

3) Thus, this is how we can dilate a triangle.

Use a compass and straightedge to construct a dilation of LMN with the given center-example-1
Use a compass and straightedge to construct a dilation of LMN with the given center-example-2
User JoyGuru
by
2.2k points