<span> Exercise #1: Point H = (–2, 2) Point J = (–2, –3) Point K = (3, –3)
It would be very helpful if you could take a pencil and a piece of paper, and sketch a graph with these points on it. Then you'd immediately see what's going on.
Notice that points H and J have the same x-coordinate, but different y-coordinates, so they're on the same vertical line.
</span><span>Notice that points J and K have different x-coordinates but the same y-coordinate, so they're on the same horizontal line.
Notice that point-J is on both the horizontal line and the vertical line, so the lines meet there, and they're perpendicular. Point-J is one corner of the square.
H is another corner of the square. It's 5 units above J.
K is another corner of the square. It's 5 units to the right of J.
The fourth corner is (2, 3) ... 5 to the right of H, and 5 above K. ____________________________________
Exercise #2: </span><span>Point H = (6, 2) Point J = (–2, –4) Point K = (-2, y) .
</span><span>It would be very helpful if you could take a pencil and a piece of paper, and sketch a graph with these points on it. Then you'd immediately see what's going on.
</span><span>Notice that points J and K have the same x-coordinate, but different y-coordinates, so they're on the same vertical line.
We need K to connect to point-H in such a way that it's on the same horizontal line as H. Then the vertical and horizontal lines that meet at K will be perpendicular, and we'll have the right angle that we need there to make the right triangle. So K and H need to have the same y-coordinate. H is the point (6, 2). So K has to be up at (2, 2) . ____________________________________________
Exercise #3: </span> <span>Point H = (-6, 2) Point J = (–6, –1) Point K = (4, 2) . </span> <span>It would be very helpful if you could take a pencil and a piece of paper, and sketch a graph with these points on it. Then you'd immediately see what's going on.
This exercise is exactly the same as #1, except that it's a rectangle instead of a square. It's still make of horizontal and vertical lines, and that's all we need to know in order to solve it.</span><span>
Notice that points H and J have the same x-coordinate, but different y-coordinates, so they're on the same vertical line.
</span><span>Notice that points H and K have different x-coordinates but the same y-coordinate, so they're on the same horizontal line.
Notice that point-H is on both the horizontal line and the vertical line, so the lines meet there, and they're perpendicular. Point-H is one corner of the rectangle.
J is another corner of the rectangle. It's 3 units below H.
K is another corner of the square. It's 4 units to the right of H.
The fourth corner is (2, -1) ... 4 to the right of J, and 3 below K.
A sample survey is a study method that involves selecting a portion of a population and asking questions to these individuals to know their opinions or insights about a particular situation. Additionally, the answers provided by the selected individuals are used to make conclusions about all the population. This method is the one used in the situation described because the store manager selects only some customers to know about the sales they prefer and would likely use this information to know the preferences of all the customers.