1 / 10

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.

duaa
Download Presentation

Construction

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

More Related