Question

Point Q is the center of dilation. Lines segment S U is dilated to form line segment S prime U prime. The length of Q S is 3 .2 and the length of Q U is 4. The length of S S prime is 4.8 and the length of U U prime is x.
Line segment SU is dilated to create S'U' using the dilation rule DQ,2.5.


What is the distance, x, between points U' and U?




4 units

4.8 units

6 units

10 units

Answer 1

Answer:

Option C.

Step-by-step explanation:

It is given that the dilation rule is $D_{Q,2.5}$. It means the center of dilatation is point Q and scale factor is 2.5.

Scale factor is the ratio of distance from center to the image of a point and distance from center to the corresponding point.

$\text{Scale factor}=\dfrac{QU'}{QU}$

It is given that QU=4 and scale factor = 2.5.

$2.5=\dfrac{QU'}{4}$

Multiply both sides by 4.

$2.5\times 4=QU'$

$10=QU'$

We know that

$UU'=QU'-QU$

$UU'=10-4$

$UU'=6$

The distance between U' and U is 6 units.

Therefore, the correct option is C.

Answer 2

Answer:

2

Step-by-step explanation:

Just trust me, i'm not an idiot.