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What are the five triangle congruency theorems?
SSS, SAS, ASA, AAS, RHS. SSA can prove congruence if the angle in question is obtuse (if it's 90 degrees, then it's exactly equivalent to RHS).
Assume you are given two right triangles with congruent hypotuneses and wish to show that they are congruent Which congruence theorem for right triangles that may be of use?
The HA and HL theorems for right triangles or the Pythagorean theorem might be of use.
Can two pentagons be congruent by a Side side side side side congruence theorem like triangle congruence theorems?
Not in general. Imagine making a pentagon out of sticks connected with hinges for the vertexes. You can bend it all around, making pentagons that are not congruent to the original, even though the sides remain the same length. A similar triangle would be rigid, even if the corners were connected with hinges.
Why was this symbol created?
It was created for the use of congruence between segments, angles, and triangles. Also it was created for the transitional property of congruence, symmetry property of congruence, and Reflexive property of congruence.
If two shapes are congruent then are they also similar?
Yes. Congruence implies similarity. Though similarity may not be enough for congruence. Congruence means they are exactly the same size and shape.
