No, it is not true that in a polygon all sides and angles are congruent. A polygon with all sides congruent is called a regular polygon, but there are also irregular polygons where the sides and angles can vary. For example, a rectangle has congruent opposite sides but not all sides are equal, and its angles are congruent but not all angles need to be equal in other types of polygons. Thus, congruence in sides and angles only applies to regular polygons.
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No, it is not true that a polygon with an odd number of angles cannot have congruent angles. A polygon can have an odd number of angles and still have some or all of them be congruent. For example, a regular pentagon has five angles that are all congruent, and a polygon with an odd number of sides can also have pairs of congruent angles.
True. A convex polygon with more than four sides that has congruent interior angles must also have congruent sides, making it a regular polygon. Regular polygons are defined by having both equal angles and equal side lengths. Therefore, if a convex polygon has congruent interior angles, it is necessarily regular.
True TeTe <3
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A polygon that has congruent sides and congruent angles is called a Regular polygon. If the number of sides is given, you can be more specific. Some examples: 3 congruent sides/angles = equilateral triangle 4 congruent sides/angles = square 5 congruent sides/angles = regular pentagon 6 congruent sides/angles = regular hexagon ...and so on, by adding "regular" in front of the shape's name.
True. A convex polygon with more than four sides that has congruent interior angles must also have congruent sides, making it a regular polygon. Regular polygons are defined by having both equal angles and equal side lengths. Therefore, if a convex polygon has congruent interior angles, it is necessarily regular.
A regular polygon is one in which all of the sides are congruent and all the angles are congruent. In the case of a triangle, congruence of sides implies congruence of angles and conversely. However, this is not true of any polygon with more than three sides.For example, the sides of a rhombus are all equal but the angles need not be. Similarly, all four angles of a rectangle are equal (90 deg) but the sides need not be.
False. The angles will be congruent, but the sides not so.
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False. They must be congruent.
True.
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For a figure to be a square, it must have four congruent sides and four right angles. For a figure to be a rectangle, it only has to have four right angles.
Yes, the base angles of an isosceles triangle are always congruent. An isosceles triangle commonly has two sides that are equal in length. The base angles are the angles opposite those two equal sides of the triangle. A geometric theorem states that if two sides of a triangle are congruent, then the angles opposite those sides are congruent. The converse is also true.