opposite angles of rhombus in hyperbolic geometry

In a polygon of 'n' sides, the sum of the interior angles is equal to (2n - 4) right angles. Each interior angle of a regular polygon is If the sides of a convex polygon are produced, in order, the sum of the exterior angles is 4 right angles..

Parallelogram is a quadrilateral whose opposite sides are parallel and equal. A rectangle, a rhombus and a square are considered as parallelograms. A trapezoid is quadrilateral with exactly one pair of opposite sides being parallel. Hence, it is not a parallelogram. Yo..

Question: ABCD is a rhombus and P, Q, R and S are the mid-points of AB, BC, CD and DA respectively. Prove that PQRS is a rectangle. Answer: Given: ABCD is a rhombus. P, Q, R and S are the mid-points of AB, BC, CD and DA respectively. To prove: PQRS is a rectang..

of a quadrilateral: Two angles, which do not include a side in their intersection, are called the opposite angles of a quadrilateral..

When two straight lines intersect each other at a point, the pairs of opposite angles so formed are called vertically opposite angles..

Two angles having a common vertex and a common arm, such that the other arms of these angles are on opposite sides of the common arm, are called adjacent angles. ..

A pair of angles are said to be alternate angles if (i) both are interior angles (ii) they are on the opposite sides of the transversal and (iii) they are not adjacent angles. Alternate angles are some times also called alternate interi..

A Corollary is an easy consequence of a theorem. It two lines intersect, then the vertically opposite angles so formed are equal, and When a number of lines meet at a point, the sum of the angles so formed is four right angles..

Interior and Exterior angles of a triangle - In a triangle when we refer to an angle, we mean the angle bounded by the two sides. The three angles lie in the interior region of the triangle. These angles are called the interior angles of t..

In a triangle when we refer to an angle, we mean the angle bounded by the two sides. The three angles lie in the interior region of the triangle. These angles are called the interior angles of the triangle. Now observe the triangle in which the si..