the use of geometry

The line containing any two points in a plane lies wholly in that plane. An angle has only one and only one bisector. Through any point outside a line, one and only one perpendicular can be drawn to the given line. A segment has one and only one mid point. Linear pair postulate: If a ray stan..

In coordinate geometry, the tools of algebra are used in studying geometry by establishing 1-1 correspondence between the points in a plane and the ordered pairs of real number..

Complete the following table by measuring the interior and exterior angles of the figure given above using a protractor. Study the table carefully and identify the relation between exterior and interior opposite angle..

Question: A farmer has a triangular plot of land on which he wants to grow carrots and Radish. He puts a separator along the line AD, D being the mid-point of BC. He grows carrots on one part and Radish in the other. What is the area in hectares used for cultivation of carrots? ..

Using the distance formula, we have ..

Summary - In coordinate geometry, the tools of algebra are used in studying geometry by establishing 1-1 correspondence between the points in a plane and the ordered pairs of real numbers. If P(x 1 ,y 1 ) and Q(x 2 ,y 2 ) be any two points in the plane, then If A(x 1 ,..

Draw AL, BM and CN perpendicular to x-axis. LM = x 2 -x 1 MN = x 3 -x 2 LN = x 3 -x 1 Area of D ABC = area of trap {ALMB + BMNC - ALNC} This can be expressed in the form of a determinant Another form which is convenient to use for the area of triangles but which is very much..

If a pair of opposite sides of a quadrilateral is equal and parallel, it is a parallelogram. ABCD is a quadrilateral. AB || DC and AB = DC. ABCD is a parallelogram. BC || AD Join AC and name the angles as sho..

Question: What points on the x-axis are at a distance of 5 units from the point (5, -4)? [2 Mark] Answer: Note that all the points on x-axis have y-co-ordinate zero. Let (x, 0) be the point which is at a distance of 5 units from the point (5, -4). Using distance formula, we ..

Basic Proportionality Theorem (B.P.T.) will be more useful in the topic 'SIMILARITY'. Division of a line segment into equal parts. Divide a line segment of length 8.4 cm into 5 equal parts. AB = 8.4 cm 1. Draw AB = 8.4 cm and through A draw another line AX at an acute angle to AB. 2. With..