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21 Jun 2017, 00:16
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I feel like I can't just assume m goes through the origin on this question
Why can I or know the triangle is bisected at a 45 degree angle?
https://i.imgur.com/a3cI8i0.png
My thought was to see if there were two cases a 45 45 90, and a 30 60 90 and my answer was E
Why can I or know the triangle is bisected at a 45 degree angle?
https://i.imgur.com/a3cI8i0.png
My thought was to see if there were two cases a 45 45 90, and a 30 60 90 and my answer was E
Updated on: 21 Jun 2017, 13:58
Originally posted by TestPrepUnlimited on 21 Jun 2017, 12:22.
Last edited by TestPrepUnlimited on 21 Jun 2017, 13:58, edited 1 time in total.
Last edited by TestPrepUnlimited on 21 Jun 2017, 13:58, edited 1 time in total.
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I understand the feeling--It is difficult to get used to the conventions at first.
On the GMAT, we are told the following about figures:
"
Figures: A figure accompanying a problem solving question is intended to provide information useful
in solving the problem. Figures are drawn as accurately as possible. Exceptions will be clearly noted.
Lines shown as straight are straight, and lines that appear jagged are also straight. The positions of
points, angles, regions, etc., exist in the order shown, and angle measures are greater than zero. All
figures lie in a plane unless otherwise indicated.
"
As far as solving the problem goes, you know that the center of the circle is (r,r) since the distance from the y-axis to the center is r, and likewise for the city-axis. You don't need to know that m intersects the origin at a 45 degree line to solve the problem, but you could figure that out based on having a right isosceles triangle.
Also, note that this is a GRE question, not GMAT question. GRE questions will loosely help with GMAT, but you're better off just using GMAT materials.
On the GMAT, we are told the following about figures:
"
Figures: A figure accompanying a problem solving question is intended to provide information useful
in solving the problem. Figures are drawn as accurately as possible. Exceptions will be clearly noted.
Lines shown as straight are straight, and lines that appear jagged are also straight. The positions of
points, angles, regions, etc., exist in the order shown, and angle measures are greater than zero. All
figures lie in a plane unless otherwise indicated.
"
As far as solving the problem goes, you know that the center of the circle is (r,r) since the distance from the y-axis to the center is r, and likewise for the city-axis. You don't need to know that m intersects the origin at a 45 degree line to solve the problem, but you could figure that out based on having a right isosceles triangle.
Also, note that this is a GRE question, not GMAT question. GRE questions will loosely help with GMAT, but you're better off just using GMAT materials.
21 Jun 2017, 13:34
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manimgoindowndown
I feel like I can't just assume m goes through the origin on this question
Why can I or know the triangle is bisected at a 45 degree angle?
https://i.imgur.com/a3cI8i0.png
My thought was to see if there were two cases a 45 45 90, and a 30 60 90 and my answer was E
Why can I or know the triangle is bisected at a 45 degree angle?
https://i.imgur.com/a3cI8i0.png
My thought was to see if there were two cases a 45 45 90, and a 30 60 90 and my answer was E
Rule of thumb: if lines look like they cross at a point, they cross at a point. Here, three lines (the two axes, plus the line in the problem) look like they cross at a point - because it's the point where the two axes cross, you know it's also the origin.
You aren't assuming that the angle is 45 degrees! You're figuring that out based on what you can safely assume, which is:
- m goes through the origin
- the circle touches both of the axes.
Based on that, you can work out that the angle is 45 degrees. You're never allowed to directly assume an angle measurement.
