Leon constructed a point P that divides the directed segment from A to B in the ratio 2 to 1. Chelsea constructed a point that divides the directed segment from B to A In the ratio 1 to 2. How are points P

and Q related? Explain.

Points P and Q are (select) whpoint P is (select) vl of the distance from A to B. Point Q is

(select) of the distance from B to A. The means the points lie (select) location along the line

segment.

The answer is below

Step-by-step explanation:

Leon constructed a point P that divides the directed segment from A to B in the ratio 2 to 1. Chelsea constructed a point Q that divides the directed segment from B to A in the ratio 1 to 2. How are points P and Q related? Explain.

Points P and Q are...

A.) two units apart. B.) the same point. C.) one unit apart.

Point P is ___ of the distance from A to B. [ A.) 2/3 B.) 1/2. C.) 1/3. ]

Point Q is of the distance from B to A. [ A.)1/3 B.). 1/2 C.)2/3. ]

The means the points lielocation along the line segment.

[ A.) At the same B.)At a different

Solution:

Since point P is divides the segment from A to B in the ratio 2 to 1 therefore:

P = 2/3 of the distance from A to B.

Since point Q is divides the segment from B to A in the ratio 1 to 2, therefore:

Q = 1/3 of the distance from B to A

2/3 of the distance from A to B = 1/3 of the distance from B to A

Therefore point P and point Q lie along the same line segment from A to B (or B to A) and the points P and Q are at the same point,