If and are divided proportionally at points M and N (as shown), then .

Question

If  and  are divided proportionally at points M and N (as shown), then  .

Quizplus · Accepted Answer

Dividing two points proportionally means that the ratio of the distances from the first point to the dividing point and from the dividing point to the second point is constant. Therefore, if we divide the first and second points at points M and N proportionally, then the third point must also fall on the same line and can be found by dividing the second and third points proportionally at the same ratio.

If and Are Divided Proportionally at Points M