Question

Give three reasons on how using constructions (compass, pencil, ruler) with Euclids postulates #1 & #3 would help deepen students geometric understanding.

Answer 1

Reasons on how using constructions with Eucids postulates 1 and 3 would help deepening students understanding:-

A) By using construction, students can know about the practicality of the Euclid's postulates which helps them to understand geometry. (If they can verify the postulates by drawing them, then thwy will have a concrete understanding about the postulates and thus they will have strong basic for geometry)

B) They can know the limits of the postulates by using constructions, (e.g. one unique line is possible through two points, the distance between the circumference and centre is equal at every point.)

C) They can also explore the applications of Euclid's postulates by using construction.

D) They will also develope the skill of construction which will help them to learn many things in geometry.