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Exact(9)
One way is to show that the angles are in congruent triangles.
To prove this, one has to show that the angles a and c are in congruent triangles.
For example, I could tell it that the angles a and c might lie in congruent triangles.
Open image in new window Fig. 2 Surface approximation using congruent triangles (method A).
Pythagoras's theorem thus depends on theorems about congruent triangles, and once these and other theorems have been identified (and themselves proved), Pythagoras's theorem can be proved.
In investigating the properties of this complex figure we may draw further (auxiliary) lines between particular points and find that there are a number of congruent triangles, from which we can begin to work out the relationship between the relevant areas.
Similar(51)
Although the method described in "Panel generation method A: congruent triangle shapes" does work for strips with changing curvature direction, it deals better with curvature along the length of the strip than with curvature perpendicular to that direction.
The Sierpiński gasket is defined as follows: Take a solid equilateral triangle, divide it into four congruent equilateral triangles, and remove the middle triangle; then do the same with each of the three remaining triangles; and so on.
If you cut an equilateral triangle in half, you will end up with two congruent right triangles.
For example, if your statement is that triangle ABC is congruent to triangle DEF, you might use this detailed reason: BC = EF (line 5),.
Your statement should read "Triangle ABC is congruent to triangle XYZ" and the reason would be the appropriate choice between AAS, ASA, SAS, SSS, HL, etc. SSS stands for side, side, side.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com