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Congruent triangles are discussed in more depth in Congruent Triangles. Polygons are congruent if they are equal in all respects: Same number of sides; All corresponding sides are the same length, All corresponding interior angles are the same measure. But they can be rotated on the page and one can be a mirror image of the other. In the figure ...
- Rotation
Rotate the polygon by dragging anywhere inside it. Note how...
- Reflection
Reflection - of a polygon. A transformation where each point...
- Tests for Polygon Congruence
Regular polygons are congruent if they have the same number...
- Congruent Angles
For angles, 'congruent' is similar to saying 'equals'. You...
- Hypotenuse-leg (Hl)
Definition: Two right triangles are congruent if the...
- Congruent Lines
For line segments, 'congruent' is similar to saying...
- Asa Congruent Triangles
Congruent Triangles - Two angles and included side (ASA)...
- SSA Doesn't Work
In the figure above, the two triangles above are initially...
- Rotation
- Interior Angle
- Exterior Angle
- Central Angle
- Apothem
- Radius
Interior angles are the angles that are formed inside the polygon at its corners when the line segments join in an end to end fashion. Here, we will discuss about how to find the measure of the sum of the interior angles in any n-sided regular polygon and also how to find the individual angles. Sum of Interior Angles It is the total measure of all ...
Exterior angle is the angle formed by any side of the polygon and the extension of its adjacent side. How to Find the Exterior Angle of a Regular Polygon For a regular polygon, all the exterior angles are equal, and they add up to 360°. Thus dividing 360° by the number of sides will give us the measure of each exterior angle of the regular polygon....
The central angle of a polygon is the angle formed at the center of the polygon by any two adjacent vertices. The number of central angles in a polygon is equal to the number of sides of the polygon. Since a regular polygon has all equal sides, the central angles are also equal. How to Find the Central Angle of a Regular Polygon Since all the centr...
The apothem of a polygon is the line segment joining the center of the polygon to the midpoint of one of its sides. How to Find the Apothem of a Regular Polygon The apothem of a regular polygon can be determined when both the area and perimeter of the polygon are known. To determine the apothem, we will use the formula for finding the area of the p...
The radius of a polygon is the distance from the center of the polygon to any vertex. The formula to determine the radius is given below:
The examples of regular polygons are square, equilateral triangle, etc. In regular polygons, not only are the sides congruent but so are the angles. That means they are equiangular. Properties of Regular Polygons. The properties of regular polygons are listed below: All its sides are equal. All its interior angles are equal.
Grouping together all of the angles at the centre of a regular polygon results in a full angle of 360 ∘. 360 ∘. Since the isosceles triangles that compose a regular polygon are congruent, it can be determined that each central angle has the same measurement.
The examples of regular polygons are square, rhombus, equilateral triangle, etc. In regular polygons, not only the sides are congruent but angles are too. That means, they are equiangular. Properties of Regular polygons. Some of the properties of regular polygons are listed below. All the sides of a regular polygon are equal
A regular polygon is a polygon in which all sides are equal and all angles are equal, Examples of a regular polygon are the equilateral triangle (3 sides), the square (4 sides), the regular pentagon (5 sides), and the regular hexagon (6 sides). The angles of a regular polygon can easily be found using the methods of section 1.5.
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What is a regular polygon? A regular polygon is a 2D shape where the sides are all straight line segments of equal length and each interior angle in the shape is equal. You need to be able to classify geometric shapes based on their properties, and find unknown angles and side lengths in any triangle, quadrilateral and regular polygon. E.g.
