Chapter 1.2, Problem 64HP

To determine

To find: the coordinates of point $A$ in the parallelogram.

Answer to Problem 64HP

Final and true solution is $G$

Explanation of Solution

Given information:

Given figure

And

F. $\left(b-a,c\right)$

G. $\left(a-b,c\right)$

H. $\left(b,c\right)$

J. $\left(c,c\right)$

Calculation:

The conclusion where sure that $x$ coordinate is negative. If look at the position of parallelogram, solution $H$ and $J$ are instantly out of thinking because both of their $x$ coordinates are positive numbers, which left us with $F$ and $G$ solutions.

Let’s take $F$ first. $b$ Component is longer than $a$ which we can see from the given graph, what makes our $x$ coordinate positive number and for us false solution.

Final and true solution is $G$ , and let’s explain why.

  $a$ is lesser length than $b$ , which gives us negative $x$ coordinate and the one need.