Answer:
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,
