Question

does coordinate a or coordinate b represent a greater number in the following rectangle?
(0,4) (6,b)
(0,0) (a,0)
choose 1 answer:
a a
b b

Explanation:

Step1: Use the property of rectangle

In a rectangle, opposite sides are equal.
The vertical side from \((0,0)\) to \((0,4)\) has length \(4 - 0=4\). The vertical side from \((6,b)\) to \((a,0)\) must also have the same length. So \(b - 0 = 4\), which means \(b = 4\).
The horizontal side from \((0,0)\) to \((a,0)\) has length \(a-0=a\). The horizontal side from \((0,4)\) to \((6,b)\) has length \(6 - 0=6\). Since opposite sides of a rectangle are equal, \(a=6\).

Step2: Compare \(a\) and \(b\)

We found \(a = 6\) and \(b = 4\). Since \(6>4\)

Answer:

A. \(a\)