Answer: " (3,1) is the point that is halfway between <em>A</em> and <em>B</em>. " __________________________________________________ Explanation: __________________________________________________ We know that there is a "straight line segment" along the y-axis between "point A" and "point B" ; since, we are given that: ___________________________________________ 1) Points A, B, C, and D form a rectangle; AND:
2) We are given the coordinates for each of the 4 (FOUR points); AND:
3) The coordinates of "Point A" (3,4) and "Point B" (3, -2) ; have the same "x-coordinate" value. ________________________________________________ We are asked to find the point that is "half-way" between A and B. ________________________________________________ We know that the x-coordinate of this "half-way" point is three.
We can look at the "y-coordinates" of BOTH "Point A" and "Point B". ___________________________ which are "4" and "-2", respectively.
Now, let us determine the MAGNITUDE of the number of points along the "y-axis" between "y = 4" and y = -2 .
The answer is: "6" ; since, from y = -2 to 0 , there are 2 points, or 2 "units" from y = -2 to y = 0 ; then, from y = 0 to y = 4, there are 4 points, or 4 "units".
Adding these together, 2 + 4 = 6 units. ______________________________________________ So, the "half-way" point would be 1/2 of 6 units, or 3 units. __________________________________________________ So, from y = -2 to y = 4 ; we could count 3 units between these points, along the "y-axis". Note, we could count "2" units from "y = -2" to "y = 0". Then we could count one more unit, for a total of 3 units; from y = 0 to y = 1; and that would be the answer (y-coordinate of the point). ______________________________________________ Alternately, or to check this answer, we could determine the "halfway" point along the "y-axis" from "y = 4" to "y = -2" ; by counting 3 units along the "y-axis" ; starting starting with "y = 4" ; note: 4 - 3 = 1 ; which is the "y-coordinate" of our answer; that is: "y = 1" ; and the same y-coordinate we have from the previous (aforementioned) method above. ______________________________________________ We know the "x-coordinate" is "3" ; so the answer: _________________________________________________ " (3,1) is the point that is halfway between <em>A</em> and<em> B </em>." __________________________________________________
2. 7 PM 3. Mike went continuously towards his destination until hour 3. And the total time he went back home was three hours (hrs 8-11.) 4.Mike new this was the time. He was going to go on vacation!! He went on for 3 hours straight until he took a break for 4 hours. Mike went back on the road again for 2 hours until he needed more gas. He then seen candy bars and really wanted some. And then he had to go to the bathroom. So that took an hour. Mike buckled down for the last hour to go back to home sweet home.
