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Home / Geometry (page 6)

# Geometry

## Prove that the sum of the angles of a quadrilateral is equal to 4 right angles.

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 ...

## 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 + ...

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 ...

## What is Circle, Radius, Diameter, Circumference, Centre ?

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:   ...