Solution: General enunciation: We have to prove that the sum of the angles of a quadrilateral is equal to 4 right angles. Particular enunciation: Let four angles of a quadrilateral ABCD be ∠A, ∠B, ∠C, and ∠D. We have to prove that sum of the four angles equal to 4 ...Read More »
Prove that when transversal cuts two parallel straight lines, the pair of interior angles on the same side of the transversal are supplementary.
Solution: Particular enunciation: Let AB||CD and transversal PQ intersects them at E and F respectively. On one side of the transversal PQ the interior angles be ∠BEF and ∠EFD and on the other side the interior angles be ∠AEF and ∠EFC. Proof: ∠EFD = Corresponding angle ∠PEB. Now, ∠BEF + ...Read More »
Definition: A quadrilateral is a figure closed by four line segments. The line segments are the sides of the quadrilateral. Or, A quadrilateral is a plane figure bounded by four straight . * Sum of four interior angles of a quadrilateral is 4 right angles or 3600. Diagonal: The straight ...Read More »
Definition of Circle: The set of all points in one plane that in a fixed distance from a center. Definition of Center: Center of a Circle is a point inside the circle and is at an equal distance from all of the points on its circumference. Example of centre: ...Read More »
Definition: The figure bounded by three line segments is a triangle 1.The figure bounded by three line segments is a triangle 2.The line segments are known as the sides of the triangle. 3.The point common to any two sides is known as vertex. The angle formed at the vertex is ...Read More »
Parallel Straight Line: Definition: Lying in the same plane , two straight lines which do not meet are called parallel lines. Some Corollary for parallel straight line: 1.When a transversal cuts two parallel straight lines, the corresponding angles are Equal. 2.When a transversal cuts two parallel straight lines, the alternate ...Read More »