Question

Given PR = 1/2PT, prove R is the midpoint:

a. Coordinate geometry
b. Euclidean geometry
c. Trigonometry
d. Algebraic manipulation

Answer 1

To prove that point R is the midpoint, we'll use Euclidean geometry. The midpoint theorem states that if a point divides a line into two equal segments, then that point is the midpoint.

Step-by-step explanation:

To prove that point R is the midpoint, we'll use Euclidean geometry.

Given that PR = 1/2PT, we need to show that the distance from P to R is half the distance from P to T.

By the midpoint theorem, we know that in a line, if a point divides that line into two equal segments, then that point is the midpoint. In this case, since PR = 1/2PT, point R divides the line PT into two equal segments, making R the midpoint.