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Construct an isosceles trapezium and study its properties (view source)
Revision as of 11:30, 30 May 2019
, 11:30, 30 May 2019no edit summary
*Estimated Time: 40 minutes.
*Materials/ Resources needed: Laptop, geogebra file, projector and a pointer.
*Prerequisites/Instructions, if any
#The students should know the concepts of parallel lines, perpendicular lines and rectangle.
#They should know basic constructions like parallel lines and perpendicular lines.
*Multimedia resources: Laptop.
*Website interactives/ links/ / Geogebra Applets : This geogebra file has been done by ITfC-Edu-Team
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*Process:
#Recall the figure trapezium and its properties.
#State that a trapezium with two non- parallel sides equal is an isosceles trapezium.
#By moving the vertices of the trapezium, you can observe trapeziums of different sizes and shapes.
#Make sure you note when your trapezium turns into a rectangle.
#Observe the symmetry of an isosceles trapezium.
#Study its properties.
#Drag the vertices of the trapezium and observe your angle measures.
#Make a conjecture about the base angles of an isosceles trapezium. (Both of the parallel sides are considered bases, so a trapezium has two pairs of base angles.)
*Developmental Questions:
#What are parallel lines ?
#What is a trapezium ?
#Is trapezium a quadrilateral ?
#What are the characteristic properties of a trapezium ?
#What do you notice about the non-parallel sides ?
#How many interior angles do you see ?
#What is the sum of 4 angles of any quadrilateral ?
#What can you conclude about interior angles ?
#What is special about diagnols in an isosceles trapezium ?
*Evaluation:
#Are all trapeziums isosceles ?
#Are all trapeziums quadrilaterals too ?
#Can rectangle be considered as an isosceles trapezium ?
*Question Corner:
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#State the properties of isosceles trapezium ?