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05 Feb 2018, 06:36
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
69% (00:57) correct
31%
(01:12)
wrong
based on 129
sessions
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Not Attempted Yet
A figure that can be folded over along a straight line so that the result is two equal halves which are then lying on top of one another with no overlap is said to have a line of symmetry. Which of the following figures has only one line of symmetry?
(A) square
(B) circle
(C) equilateral triangle
(D) isosceles triangle
(E) rectangle
(A) square
(B) circle
(C) equilateral triangle
(D) isosceles triangle
(E) rectangle
18 Feb 2018, 23:27
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Bunuel
Since this is a very 'visual' / graphic question (and also an uncommon question), we'll either try drawing it out or just guess.
This is an Alternative approach.
Drawing a square, we can SEE that the diagonal is a 'symmetry line' as defined above:
if splits the square into two identical halves that fall exactly one on top of the other.
(A) is eliminated.
(B) is also eliminated as every diameter is a symmetry line.
(C) is eliminated as every one of the heights also splits the triangle into two identical halves.
(D) is a bit trickier so we can skip it and look at E.
(E) also has two symmetry lines: these are the lines connecting the midpoints of the sides.
So (D) must be our answer.
(It does, in fact, have only one line. If AB = AC then the height from A to BC is the only line).
ramblers
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21 Feb 2018, 18:39
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So D is obviously the right choice.
However...B is sort of tricky. With a circle of no markings (not a clock, not a compass, the top of a can, whatever)...just a circle...is any diameter different from another? With no relativity, isn't there just 1 diameter? I realize this is a tree falling in the woods scenario, but it was enough to give me some pause to think if this was some sort of trick question.
However...B is sort of tricky. With a circle of no markings (not a clock, not a compass, the top of a can, whatever)...just a circle...is any diameter different from another? With no relativity, isn't there just 1 diameter? I realize this is a tree falling in the woods scenario, but it was enough to give me some pause to think if this was some sort of trick question.
