1 / 10

# Construction - PowerPoint PPT Presentation

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.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about ' Construction' - hagop

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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

Designed and compiled by

Sanjeev Kumar Taneja

District maths coordinator

ludhiana

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.

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

END OF CONSTRUCTION

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

END OF CONSTRUCTION

• 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

B

END OF CONSTRUCTION

• 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

END OF CONSTRUCTION

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

END OF CONSTRUCTION

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

END OF CONSTRUCTION

• 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