Answer:
see the explanation
Explanation:
we have that
The scale factor is
![1(1)/(2)=1.5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5cczc5d8ru13x931f7r296r92cmbzzm7at.png)
we know that
To find the length of the segment CZ, multiply the segment CR by the scale factor
so
![CZ=CR(1.5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/kjazcca66i8z82spajn7sa86rbs6slpu8n.png)
substitute
![CZ=4(1.5)=6\ units](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tpp9ar8rr615pt3fot73hdiegmhllq7ndh.png)
therefore
Roy's diagram is not correct, because on the graph, Roy draws the length of the CZ segment equal to 10 units instead of 6 units.
Roy is using a scale factor equal to 2.5 instead of 1.5.