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Construction

Construction. Designed and compiled by. Sanjeev Kumar Taneja District maths coordinator ludhiana. Menu. Construction 1a Construct a triangle (ASA). Construction 1b Construct a triangle (SAS). Construction 2 Construct the bisector of an angle.

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Construction

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  1. Construction Designed and compiled by Sanjeev Kumar Taneja District maths coordinator ludhiana

  2. Menu Construction 1a Construct a triangle (ASA) Construction 1b Construct a triangle (SAS) Construction 2 Construct the bisector of an angle Construction 3 Construct the perpendicular bisector of a line segment. Construction 4 Construct the circumcircle of a triangle. Construction 5 Construct the incircle of a triangle. Construction 6 Divide the line segment [ab] into three equal parts.

  3. Construct the triangle PQR where |QR|=8cm, |  PQR|=52o and |PRQ|=46o (A S A) • At Q using a protractor mark and draw an angle of 52o. • Draw a line segment [QR] 8cm in length. Name the points and mark the length. • At R mark and draw an angle of 46o • Mark the point of intersection of the two angles. • This is the point P. P 46° 52° Quit Q R |QR|=8cm Menu END OF CONSTRUCTION

  4. Construct a triangle ABC where |AB| = 12cm, |  BAC|=65o and |AC| = 9 cm (S A S) USE MOUSE CLICKS TO VIEW CONSTRUCTION • Draw a line segment 12cm in length. Name the points and mark the length. • Use a protractor to draw a line at 65o to |AB|. • Use a compass with A as centre and 9cm radius to draw an arc on this line. • Mark the point of intersection C. • Join C to B and complete labels. C |AC|=9cm 65° Quit A b |AB|=12cm Menu END OF CONSTRUCTION

  5. Construct the bisector of an angle • Draw the angle AOB. • Using the vertex o as centre draw an arc to meet the arms of the angle at X and Y. • Using X as centre and the same radius draw a new arc. • Using Y as centre and the same radius draw an overlapping arc. • Mark the point where the arcs meet. • The bisector is the line from O to this point. A X X X O Quit Y Menu B END OF CONSTRUCTION

  6. Construct the perpendicular bisector of a line segment • Using A as centre and a radius greater than half |AB| draw an arc. • Using B as centre and the same radius draw another arc. • Draw a line through the points where the arcs cross. • Draw the line segment A B Quit Menu END OF CONSTRUCTION

  7. Construct the circumcircle of a triangle A O C B • Draw the triangle ABC • Construct the perpendicular bisector of [AB] Quit • Construct the perpendicular bisector of [AC] • The bisectors meet at O the circumcentre of the triangle • Using O as centre and |OA| as radius construct the circumcircle of the triangle ABC Menu END OF CONSTRUCTION

  8. Construct the incircle of a triangle A O O X O • Draw the triangle ABC • Construct the bisector of angle ABC as shown. • Construct the bisector of angle ACB as shown. • The bisectors meet at point O, the incentre of the triangle • Using O as centre construct the incircle of the triangle ABC X C B Quit Menu END OF CONSTRUCTION

  9. Divide the line segment [AB] into three equal parts • Draw the line segment [AB]. • Through A draw a line at an acute angle to [AB]. • On this line use circle arcs of the same radius to mark off three segments of equal length [AR], [RS] and [ST]. • Join T to B. • Through S and R draw line segments parallel to [TB] to meet [AB] at D and C. • Now |AC|=|CD|=|DB| A C D B R S Quit T Menu END OF CONSTRUCTION

  10. Thanks

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