If ΔOPQ is dilated from point Q by a scale factor of 3, which of the following equations is true about segment R prime S prime? Triangle OPQ is shown with point R lying on side OP and point S lying on side OQ Line RS is perpendicular to side OQ.

segment R prime S prime = one half segment RS
segment R prime S prime = two segment RS
segment R prime S prime = segment RS
segment R prime S prime = three segment RS

Given:

ΔOPQ is dilated from point Q by a scale factor of 3.

To find:

The correct equation about segment R'S'.

Solution:

In triangle OPQ, point R lying on side OP and point S lying on side OQ.

Line RS is perpendicular to side OQ.

In dilation, we either compress or enlarge the figure according to the scale factor. It means, the preimage and image are similar figure.

We know that, corresponding sides of similar figures are proportional and equal to the scale factor.

ΔOPQ is dilated from point Q by a scale factor of 3.

RS and R'S' are corresponding sides and scale factor is 3. So,

Therefore, the correct option is D.

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )