Assingnment 5

Author:Mina Karki

Topic:Geometry

Introduction

the sum of interior angle of triangle is 180

objectives

A dynamic applet of the sum of interior angle of triangle is 180

user guideline

1.Drag/move the points A,B and C of triangle then there becomes changes in the value of angle

but not change the value of angle sum

. 2.Also move the angle slider then the rotated two triangles makes a straight line which is 180

. here, the segment AB and segment B

c_1

are parallel lines and AC is transversal line . so,

and

are alternate angles also,

and

are alternate angle and they are equal. hence, we can say that

=180

. i.e Interior angle sum of triangle is 180

materials

question

If you drag or move the three points of triangle A,B and C of triangle then angle sum of triangle becomes changes? or unchanged?

Select all that apply

A
i.yes
B
ii.No

Protocal

construction steps;- 1.At first open geogebra window, then draw an arbitrary triangle ABC. 2. Create mid point D and E between the line segment AC and AB. 3. Draw angles

in triangle ABC. 4. Dreate angle slider for angle

with interval 0

to 180

and increment 1

. 5.Again create angle slider for angle

with interval 0

to 180

and increment 1

. 6. Rotate the triangle around point D by angle

with setting clockwise direction. 7.Again rotate the triangle around point E by angle

with setting counter clockwise direction. 8.Move the both slider

and

to show 180

. 9. Now construct the angle

between A

again, construct angle

between c_1

, B_1

A_1

. 10. Enhance your construction using style bar. 11.Calculate the angle sum using sum=

. 12.Create dynamic text displaying the interior angles and their values( for eg.

= and select

from the objects. 13.Insert the angle sum as dynamic text sum=

from the object. at last save your ggb applet.