![]() ![]() Sqrt(25 + 36) will NOT EQUAL Side Length of JK - sqrt(16 + 16) - and since the Horizontal Distance will only Increase, Side JL will NEVER Equal Side JK Given that the Closest X Value from a Horizontal Distance is -3 - Horizontal Distance MIN = 6 Vertical Distance from J to L = (6 - 1) = 5 Units Horizontal Distance from J to K = (-1 - 3) = 4 Units Vertical Distance from J to K = (1 - (-3)) = 4 Units Try to explain this without a graph (but will draw one if anyone is interested)ġst Observation) Side JK is the NON-Equal Sideįor this kind of question, rather than just using the Distance Formula and rushing to plug all the answers in, I find it easier to Visualize the Horizontal and Vertical Distance from Point to Point What a brilliant blogpost and kudos for the easy language. Mikemcgarry i just read through the blogpost and feel like someone just gave me a key to solve these isosceles questions in coordinate geometry. I wish we were taught coordinate geometry like that in our school. Most harder GMAT Quant questions are about having the right insight, the insight that simplifies the problem. That approach is a strategic disaster and will not prepare you for doing math on the GMAT. Without that insight, we have no idea, and we would have to spend 10-15 minutes doing a ton of algebra. GMAT Math: Special Properties of the Line y = x This very naturally makes this two points the endpoints of the base of an isosceles triangle, because the vertex could be anywhere on the mirror line. A mirror line is a perpendicular bisector of any segment connecting a point with its image. The insight to this problem is the fact that any two points of the form (a, b) and (-b, -a) are reflections of each other over the line y = - x. ![]() That's always the wrong choice on the GMAT. ![]() The brute force calculations, such as you are discussing, would take 10+ minutes. The insightful way takes less than 30 seconds. GMAT questions, especially harder ones, are designed specifically so that if one sees one particular shortcut, that unfolds very quickly to a solution. One important thing to appreciate about GMAT math is that there is more to understand than simply the mathematics itself-there's also the mind of the test maker. Can someone please explain why we consider JK as the base and not a side that could be equal to other side?Īlso, do we have to plug in all answer choices to see which is the correct one by using distance formula or do we get some quadratic equation in terms of x if we equate the two distances KL and JL? ![]()
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