Question

Order the steps for using a compass and straightedge construct a dilation of LMN with center M and scale factor k = 1/2.

Option 1: Draw ray MN, set the compass width to MN, place the compass at point M, and draw an arc intersecting MN at points P and Q.
Option 2: Draw ray LN, set the compass width to LN, place the compass at point L, and draw an arc intersecting LN at points R and S.
Option 3: Draw ray LM, set the compass width to LM, place the compass at point M, and draw an arc intersecting LM at points T and U.
Option 4: Draw ray ML, set the compass width to ML, place the compass at point L, and draw an arc intersecting ML at points V and W.

Answer 1

To construct a dilation of triangle LMN with center M and scale factor k = 1/2, follow the steps provided below.

Step-by-step explanation:

To construct a dilation of triangle LMN with center M and scale factor k = 1/2, follow these steps:

1. Draw ray MN.
2. Set the compass width to MN.
3. Place the compass at point M and draw an arc intersecting MN at points P and Q.
4. Draw ray LM.
5. Set the compass width to LM.
6. Place the compass at point L and draw an arc intersecting LM at points T and U.
7. Draw ray ML.
8. Set the compass width to ML.
9. Place the compass at point L and draw an arc intersecting ML at points V and W.