Question

If △ UVW is dilated from point U by a scale factor of 2, which of the following equations is true about overline A'B' ?

a. overline A'B'= 1/2 overline AB
b. overline A'B '= 2overline AB
c. overline A'R' = overline AR

Answer 1

The correct equation for the dilated line segment «line A'B'», given the triangle UVW is dilated from point U with a scale factor of 2, is «line A'B'» = 2«line AB».

Step-by-step explanation:

When triangle UVW is dilated from point U by a scale factor of 2, it means that every length in the triangle is multiplied by 2. This includes any line segments within the triangle itself to any corresponding line segments in the image of the dilation. Therefore, if «line A'B'» is the image of «line AB» after the dilation, the correct equation comparing the two would be «line A'B'» = 2 «line AB».

Let's summarize this process in mathematical terms:

1. Identify the scale factor of the dilation - in this case, it is 2.
2. Apply the scale factor to the original line segment «line AB».
3. The resulting equation would therefore be «line A'B'» = 2 times the length of «line AB», fitting the definition of dilation.