Basic constructions

Hello students, Previously we have discussed about who invented calculus and in this blog we are going to discuss basic constructions which comes under andhra pradesh education board. In basic construction generally we include the construction of similar triangles, tangents to circles and the basic constructions in geometry which include: -
-Construction of various angles such as 30°, 45°, 60°, 90^o.
-Bisecting an angle.
-Constructing a line parallel to a given line through a given point.
-Construction of perpendicular bisector of a line.
-Construction of closed figures like squares, rectangles, quadrilaterals etc.
-Construction of in circle, circum circle and ex circle of a given triangle.
All of the above construction uses compass and ruler.
If we talk about more simple geometry then basic construction include: -
-Constructing of line (basic construction in geometry).
-Constructing of triangle.
-Construction of circle.
Let’s take one construction from the above list to see the basic construction in geometry.
Construction of triangle: - Triangle is a three sided close figure. Triangle can be constructed using the ruler, compass and protractor.
Some steps to construct the triangle are: -
Step 1: - A triangle has three side then XY = a units YZ = b units and ZA = c.
Step 2: - Draw the line XY = a units using ruler.
Step 3: - Take a compass and measure c units with the help of ruler.
Step 4: - With X as center, cut an arc above the line segment XY with the help of compass.
Step 5: - Again take a compass and measure b units.
Step 6: - With Y as center cut an arc above the line segment XY.
Step 7: - Both the arcs meet at a point that is Z.
Step 8: - Join XZ and YZ. Now, XYZ is the required triangle.

In the next session we are going to discuss Grade VII, Pythagorean theorem and You can visit our website for getting biology help.