Mathematics, 06.02.2022 16:20 jwagner2277
ACTIVITY
OBJECTIVE
To verify that the opposite angles of a cyclic quadrilateral are supplementary.
MATERIAL REQUIRED
Chart paper, geometry box. scissors, sketch pens, adhesive, transparent sheet.
METHOD OF CONSTRUCTION
1. Take a chart paper and draw a circle of radius on it. 2. In the circle, draw a quadrilateral so that
all the four vertices of the quadrilateral
lie on the circle. Name the angles and
colour them as shown in Fig. 1. 3. Make the cut-outs of the angles as shown in Fig. 2. tve repuy she
Fi R^ - 1
Fig. 2
Fig, 3
no
DEMONSTRATION
Paste cut-outs of the opposite angles 21 and angle3 angle2 and 24 to make straight angles as shown in Fig . Thus angle1+ angle3=180^ and angle2+ angle4=180^ .
OBSERVATION
On actual measurement:
angle1=.. . angle2=. .
angle3=.; angle4=.
angle2+ angle4=.:
So, angle1+ angle3=.;
Therefore, sum of each pair of the opposite angles of a cyclic quadrilateral is she
APPLICATION
The concept may be used in solving various problems in geometry.
helllp
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ACTIVITY
OBJECTIVE
To verify that the opposite angles of a cyclic quadrilateral are sup...
To verify that the opposite angles of a cyclic quadrilateral are sup...
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