Geometric figures are congruent if they are the same size and shape. Corresponding angles and corresponding sides are in the same position in polygons with an equal number of sides. Two polygons are congruent polygons if and only if their corresponding sides are congruent.
Which polygons are all the sides and angles equal?
Regular Polygon: Polygon in which all the sides of angle are same and all the interior angle of the polygon are equal is called regular polygon.
What are sides in the same position in two different polygons that have the same number of sides?
Definition of Corresponding Sides Corresponding sides are the sides that are in the same position in any different 2-dimensional shapes. For any two polygons to be congruent, they must have exactly the same shape and size. This means that all their interior angles and their corresponding sides must be the same measure.
What are polygons with equal sides?
In geometry, an equilateral polygon is a polygon which has all sides of the same length.
What is a polygon with 4 sides?
Definition: A quadrilateral is a polygon with 4 sides. Definition: A parallelogram is a quadrilateral where both pairs of opposite sides are parallel.
Are polygons the same measure in sides and congruent angles?
Definition: Polygons are congruent when they have the same number of sides, and all corresponding sides and interior angles are congruent. The polygons will have the same shape and size, but one may be a rotated, or be the mirror image of the other.
What are corresponding angles and sides of two figures?
Corresponding sides and angles are a pair of matching angles or sides that are in the same spot in two different shapes. Look at the pictures below to see what corresponding sides and angles look like. Note: These shapes must either be similar or congruent.
What do you call a polygon that has the same measure or congruent sides and angle?
A regular polygon has congruent angles and congruent sides. Any polygon can be a regular polygon. Look at the regular polygons below.
Do corresponding angles have the same measure?
Corresponding Angles Formed by Parallel Lines and Transversals. If a line or a transversal crosses any two given parallel lines, then the corresponding angles formed have equal measure.
What is a triangle with three congruent sides?
Equilateral triangle: three congruent sides and three congruent angles (three sides of equal length and three angles of equal measure).
What are matching sides called?
Matching sides of two or more polygons are called corresponding sides, and matching angles are called corresponding angles.
Can a polygon have equal sides and unequal angles?
There are two main types of polygon – regular and irregular. A regular polygon has equal length sides with equal angles between each side. Any other polygon is an irregular polygon, which by definition has unequal length sides and unequal angles between sides.
What are the angles in a regular polygon?
All the interior angles in a regular polygon are equal. The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides. The sum of exterior angles of a polygon is 360°.
Why does a polygon have equal sides and angles?
Explain. A polygon has the same number of sides and angles because they are closed figures with non-intersecting lines.