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Is it true that in a polygon all sides are congruent and all angles are congruent?
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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A regular polygon is a convex polygon with all sides congruent and all angles congruent?
true
Is a regular polygon a concave polygon with all sides congruent and all angles congruent?
true
Is it true if a polygon has odd number of angles the angles cannot be congruent?
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.
Is it true or false that a convex polygon that has more than four sides and that has congruent interior angles is a regular polygon?
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.
Do congruent polygons have congruent sides and congruent angles?
True TeTe <3
A regular polygon is a convex polygon with all sides congruent and all angles congruent?
true
Is a regular polygon a concave polygon with all sides congruent and all angles congruent?
true
What polygon has equal sides and equal angles?
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.
Is it true or false that a convex polygon that has more than four sides and that has congruent interior angles is a regular polygon?
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.
What is the regular polygon?
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.
True or false Similar polygons have congruent sides and congruent angles?
False. The angles will be congruent, but the sides not so.
Do congruent polygons have congruent sides and congruent angles?
True TeTe <3
If two angles of a triangle are congruent then the sides opposite those angles may not be congruent?
False. They must be congruent.
The angles opposite the two congruent sides of an isosceles triangle are congruent Is this true or false?
True.
Is it true that a regular polygon has equal sides and angles?
Yes
What must be true of the side lengths of a polygon to build a rectangle that is not square?
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.
Are Base angles of an isosceles triangle are congruent?
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.
