Question

does coordinate m or coordinate n represent a greater number in the following parallelogram? (3,5) (10,5) (0,1) (m,n) choose 1 answer: a m b n

Explanation:

Step1: Recall parallelogram side property

In a parallelogram, opposite sides are parallel and equal in length (or horizontal/vertical shifts are equal). The top side is from \((3,5)\) to \((10,5)\), so the horizontal change is \(10 - 3=7\). The bottom side is from \((0,1)\) to \((m,n)\), so horizontal change should be \(m - 0 = m\), so \(m = 7\) (since horizontal shift is same). Vertical change for top side is \(5 - 5 = 0\) (horizontal line), so bottom side is also horizontal, meaning \(n = 1\) (same y - coordinate as \((0,1)\)).

Step2: Compare \(m\) and \(n\)

We found that \(m = 7\) and \(n = 1\). Since \(7>1\), \(m\) is greater than \(n\).

Answer:

A. \(m\)