Square Graph
Geometry
Level
2
Find the coordinates of B and C https://www.desmos.com/calculator/cdwqf7zsjq
B: (7,4) C: (3,7)
B: (7,4) C: (7,3)
B: (4,7) C: (3,7)
B: (4,7) C: (7,3)
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
Note that the slope of the line containing segment DA is -3/4, Since perpendicular lines have negative reciprocal slopes, this means the slope of the line containing CD is 4/3. The Pythagorean Theorem shows that the length if DA (and, hence, the length of each side of the square) is 5. Hence, the square of distance CD is 25. So, if Cx and Cy are the x and y coordinates respectively of C, we find (Cx)^2 + (Cy-3)^2 = 25 and (Cy-3) / (Cx) = 4/3. Solving this system gives Cx = 3 and Cy = 7. The coordinates of B are found similarly.