Questions tagged [similitude]
For questions related to similitude (or similarity). $2$ objects are similar if one can be obtained from the other by uniformly scaling, possibly with additional translation, rotation and reflection.
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Comparing the dissimilarity of the order of integer sequences
Suppose I have several sequences of integers. Let us call each sequence as $a$, $b$, $c$ and so on.
The six integers from $1$ to $6$ tell me the order of separation of compounds from a chromatographic ...
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How to find the lengths of a similar triangle
The triangle $a, b, c$ is similar to the triangle $b, c, d$, where $a < b, b < c, c < d$.
I need to find a formula to find the possible length(s) of $d$ given $a, b, c$.
I've tried using:
$q=\...
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Seeking Precise Solution for Triangle Area Problem
I hope this message finds you in high spirits. I am writing to seek your expertise in solving a captivating geometry problem that I recently encountered in a competitive exam. Despite my best ...
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If $\triangle {ABC} \sim \triangle {DEF}$, must $\angle {C} = \angle {F}$, or can any angle of $\triangle {DEF}$ be $\angle C$?
I am wondering if triangles $\triangle {ABC}$ and $\triangle {DEF}$ are similar, then this must mean that $\angle {C} = \angle {F}$, or does the order in which the letters of the triangle appear in ...
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Prove that triangle $EDC$ is similar to triangle $EAB$, given $CD$ is parallel to $AB$
Prove that triangle $EDC$ is similar to triangle $EAB$, given $CD$ is parallel to $AB$, and specify a reason for similarity.
I deduce that triangles $ACE$ and $CDE$ have common height, triangle $EAB$ ...
user1190416
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A trapezium inside a triangle.
This question was asked in a scholarship test for class 10th.
In the given figure, ABCD is a trapezium, AD is parallel to BC and diagonal BD is parallel to XY. 3AD=BC. Find the ratio of AY to AX.
My ...
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When does insetting a polygon produce a similar one?
Consider the operation of insetting every side of a polygon by a fixed perpendicular distance, as illustrated (for example) at https://alienryderflex.com/polygon_inset/. For which polygons does this ...
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What function outputs the biggest number for two given numbers taking care of both the sum and the difference of both?
Let's say I have a tuple (a,b),
I want a fuction that combines:
f(a,b) grows with a+b
f(a,b) decreases with (a/b)
and
f(a,b) decreases with (b/a)
In other words I ...
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How to locate $O$ if $OA=2OC$?
If you have a segment $[CA]$ and you want to plot the point $O$ such that $(\vec{OC},\vec{OA})=\frac{\pi}{2} (2\pi)$, and $OA=2OC$. How can you plot $O$?
From the first condition we know that $O$ ...
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