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Outline

EFFECTIVENESS OF GEOGEBRA IN

Abstract

This is to certify that Mr. Dipesh Prajapati has completed his thesis entitled Effectiveness of GeoGebra in Teaching and Learning Geometry under my supervision during the period prescribed by the rules and regulation of Tribhuvan University, Nepal. The study embodies the result of investigation conducting during the period under the

References (22)

  1. Acharya, S. (2020). Effectiveness of GeoGebra in teaching geometry: An Unpublished Master"s Thesis, Department of Mathematics Education, T.U., Kirtipur, Kathmandu.
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  4. Bohora, C. (2019). Effectiveness of GeoGebra in teaching geometry: An Unpublished Master"s Thesis, Department of Mathematics Education, T.U., Kirtipur, Kathmandu.
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  6. Cohen et al. (2010). Teachers' perceptions about constructivism learning in Afghan Schools. London: Routledge.
  7. Creswell, W.J. (2012). Educational research: Planning, conducting and evaluating quantitative research (4 th ed.). Boston, MA: Pearson Education.
  8. Dogan, M. & Icel, R. (2011). The role of dynamic geometry software in the process of learning: GeoGebra example about triangles. International Journal of Human Sciences. 8(1), 1441-1458. Fatih Project. (2012, December 15). Retrieved from Fatih Project Web site: http://fatihprojesi.meb.gov.tr/tr/index.php
  9. In the adjoining figure, O is the centre of a circle with radius 5 cm and AB = 8 cm. If OP⊥AB, find the length of BC.
  10. In the given figure, O is the centre of circle ABCD. IF OY ⊥ PB, OX ⊥ PC, OX = OY, AB = 6 cm and AP = 2 cm, find the length of PC.
  11. In the given figure, ABCD is a parallelogram. ∠ABC = 120° and DA = DE. Find the size of ∠AED.
  12. In the given parallelogram ABCD, if ∠B = (2x+25) º and ∠D = (4x-15) º. What is the angle of ∠BAD?
  13. In the adjoining figure, calculate the size of unknown angles. Long Question [4 × 4 = 16 marks]
  14. P and Q are the mid-points of the diagonals BD and AC respectively of a quadrilateral ABCD. If M and N are the mid-points of the sides DC and AB respectively, prove that PMQN is a parallelogram.
  15. In the given parallelogram WXYZ, YZ = 10 cm. What is the length of WX+YZ? Short Question [4 × 2 = 8 marks]
  16. In the given circle, O is the centre and OC ⊥ AB. If AB = 16 cm and OD =10 cm then find the length of CD.
  17. In the given figure, O is the centre of a circle. If PX = QX, PQ = 24 cm and AB = 26 cm, find the length of OX.
  18. ABCD is a parallelogram, in which ∠BAD = 60° and ∠CBD = 70°. Find the measure of ∠BDC.
  19. In the given figure, ABCD is a parallelogram. ∠ABC = 120° and DA = DE. Find the size of ∠AED. Long Question [2 × 4 = 8 marks]
  20. Prove that the straight line segments that join the ends of two equal and parallel line segments towards the opposite sides bisect each other. Very Long Question [2 × 5 = 10 marks]
  21. In the adjoining figure AB and CD are two chords of a circle such that AB = 6 cm, CD = 12 cm and AB \\ CD. If the distance between AB and CD is 3 cm, find the radius of the circle.
  22. In the given figure, ABCD is a quadrilateral in which diagonals AC and BD bisect each other at O. Prove that ABCD is a parallelogram.