Number Line – Definition -Examples What is a Number Line? A number line is a straight line with representing numbers visually. A number line can be extended infinitely in any direction. A number line usually represent horizontally. In a number line, integers, decimals and fractions can also be represented easily. Number Line Definition A Number […]
Read More →Line Graph – Definition & Examples A line graph is a type of a graph which show how data or information change over time. A line graph is also known as line chart. Example: The table shows the sell of cars in a shop for five days. Draw a line graph. Example: The table shows […]
Read More →The sum of the angles of a triangle is 180º Given: A triangle △ PQR and ∠1, ∠2, and ∠3 are angles of triangle △ PQR. To prove: ∠1 + ∠2 + ∠3 = 1800 Construction: Draw a line XPY parallel to QR passing through P. Proof: XPY ∥ QR and PQ is transversal ∴ ∠2 = ∠4 (Alternate angles) ….(1) XPY ∥ QR and PR […]
Read More →Angle Bisector – Definition -Examples The angle(interior) bisector of an angle is a line or line segment that divides the angle into two (congruent)equal parts. The angle bisector is also called the internal angle bisector. In ∠ABC, BD is angle bisector of ∠ABC. In above figure BD is bisect the ∠ABC. ∵ ∠ABC = 900∴ ∠ABD = 450and ∠DBC = 450 ∠ABD and ∠DBC […]
Read More →Line Segments – How to Draw and Measure We see around us many objects of different geometrical shapes and sizes and understand the basic ideas of shapes, most of them are made up by lines or curves. In this lesson we will learn about draw a line segment and measure it […]
Read More →The line drawn through the center of a circle to bisect a chord is perpendicular to the chord. Given: A circle with center O, AB is chord of a circle and OC bisect chord at C. i,e. AC = CB. To prove: OC ⊥ AB Construction: join OA and OB. Proof: In △ OCA and △ OCB OA = OB (Radius […]
Read More →If two Lines are parallel to a third line then the lines are parallel to each other. Given: It is given that three lines l, m, and n, and line l ∥ line m and line m ∥ line n. To Prove: Line l ∥ Line n Proof: Let us draw a line p transversal for lines l, m, and n. For lines l […]
Read More →What is an Acute Triangle: Definition, Formula and Properties In geometry, a triangle is a polygon with three sides, three vertices and three interior angles. In other words a triangle is a closed two dimensional plane figure with three sides and three angles. Triangles are classified on the basis of their sides and angles. There […]
Read More →Angle Formed By Two Lines and a Transversal In above figure line l, intersects two lines m and n at the point p and q respectively. Therefore, line l is a “Transversal” for lines m and n. Four angles are formed at the points p, by line l, name of these angles as ∠1, ∠2, ∠3, and ∠4. Four angles are formed […]
Read More →Transversal A “transversal” is a line or line segment, that intersects two or more lines or line segments. In above figure, line x and line y are transversal. In figure line l, intersects lines m and n at the point p and q […]
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