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What shape has 6 angles and all sides same length?
A hexagon has all six sides in equal length and all angles in equal measure.
What polygon whose sides are equal in length and whose angles are equal in measure?
regular polygonA square
What is the measure of an equilateral triangle?
All 3 sides are equal in length and each of the 3 interior angles measure 60 degrees
What is a quadrilateral with 4 right angles all equal in length?
If you mean all right angles are equal in MEASURE, then this would be a square or a rectangle, but if you meant 4 right angles and 4 sides of equal length then that would be a square.
If 3 corresponding angles of two triangles are of equal measure are the side lengths of equal measure also?
Not necessarily. You have described "similar" triangles. If you also know that any of the lengths of sides are of equal measure in addition to three angles (congruent), then the lengths of all of the sides are of equal measure. But with what you have given, consider, for example, two equilateral triangles, both have all angles equal to 60 degrees (satisfying the condition in your question). One of the triangles could have sides length 1 and the other with sides all of length 2.
