No.4. Write the opposite angles of the following quadrilaterals
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Last edited 14 days ago by Wcherowi
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Cyclic quadrilateral
Quadrilateral whose vertices can all fall on a single circle
Varignon's theorem
The midpoints of the sides of an arbitrary quadrilateral form a parallelogram
Orthodiagonal quadrilateral
quadrilateral in which the diagonals cross at right angles
Step-by-step explanation:
In Euclidean plane geometry, a quadrilateral is a polygon with four edges (sides) and four vertices (corners). Sometimes, the term quadrangle is used, by analogy with triangle, and sometimes tetragon for consistency with pentagon (5-sided) and hexagon (6-sided), or 4-gon for consistency with k-gons for arbitrary values of k.
Quadrilateral
Six Quadrilaterals.svg
Some types of quadrilaterals
Edges and vertices
4
Schläfli symbol
{4} (for square)
Area
various methods;
see below
Internal angle (degrees)
90° (for square and rectangle)
The word "quadrilateral" is derived from the Latin words quadri, a variant of four, and latus, meaning "side".
Quadrilaterals are simple (not self-intersecting) or complex (self-intersecting), also called crossed. Simple quadrilaterals are either convex or concave.
The interior angles of a simple (and planar) quadrilateral ABCD add up to 360 degrees of arc, that is
{\displaystyle \angle A+\angle B+\angle C+\angle D=360^{\circ }.}\angle A+\angle B+\angle C+\angle D=360^{\circ }.
This is a special case of the n-gon interior angle sum formula (n − 2) × 180°.
All non-self-crossing quadrilaterals tile the plane by repeated rotation around the midpoints of their edges.
Simple quadrilaterals
Complex quadrilaterals
Special line segments
Area of a convex quadrilateral
Diagonals
Angle bisectors
Bimedians
Trigonometric identities
Inequalities
Maximum and minimum properties
Remarkable points and lines in a convex quadrilateral
Other properties of convex quadrilaterals
Taxonomy Edit
A taxonomy of quadrilaterals.
A hierarchical