What can we say is true about the distance from 1st base to home plate and the distance from home plate to third? What theorem/postulate helps you prove that? Make sure to answer all parts of the question
The distance from 1st base to home plate is equal to the distance from home plate to third base in the game of baseball. This can be proved using the Transitive Property of Equality.
Let's assume that the distance from 1st base to home plate is denoted as x, and the distance from home plate to third base is denoted as y.
From the statement, we know: x = y.
Now, let's consider the distance from 1st base to third base, which can be represented as the sum of two segments: 1st base to home plate, and home plate to third base. This can be written as:
(1st base to third base) = (1st base to home plate) + (home plate to third base).
Substituting the distances with x and y, we have:
(1st base to third base) = x + y.
Since we know that x = y, we can substitute y with x in the equation:
(1st base to third base) = x + x.
Simplifying this equation, we have:
(1st base to third base) = 2x.
Now, if we look at it from both sides of the equation, we observe that the distance from 1st base to third base is equal to two times the distance from 1st base to home plate.
Thus, with the help of the Transitive Property of Equality, we can conclude that the distances from 1st base to home plate and from home plate to third base are equal in length.