Mathematics Specification A - 4MA1 PearsonEdexcel

Construction

Gbogbo ọrọ náà

Construction is the art of drawing accurate geometric figures using only a ruler, a pair of compasses and a protractor. Unlike a rough sketch, every length must be measured to the nearest millimetre and every angle to the nearest degree. Exam questions test both the accuracy of your drawing and your understanding of the method behind it.

You will learn how to construct triangles from given information (SSS, SAS and ASA), how to use scale drawings to solve real-world distance and bearing problems, and how to construct perpendicular bisectors and angle bisectors using compasses alone. These compass-and-straight-edge constructions are among the oldest techniques in mathematics, dating back over 2000 years to Euclid.

Ebumnobi

Measure and draw lines to the nearest millimetre
Construct triangles and other two-dimensional shapes using a combination of a ruler, a protractor and compasses
Solve problems using scale drawings
Use straight edge and compasses to construct the perpendicular bisector of a line segment and the bisector of an angle

Akọmọ Ojú-ẹkọ

Architects draft floor plans. Surveyors map coastlines. Navigators plot courses across oceans. All of these tasks start the same way: with a carefully measured line drawn on paper. The tools are simple, a ruler, compasses and a protractor, but the skill lies in using them accurately. In this topic you will master that skill.

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Ayẹwo Ẹkọ

Ekele diri gi maka imecha ihe karịrị na Construction. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.

Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.

Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.

To construct a triangle given three side lengths, the correct method is: A) SSS using ruler and compasses B) ASA using ruler and protractor C) SAS using ruler and protractor D) Draw freehand and label the sides Answer: A
A map scale is 1 : 25 000. A distance of 3 cm on the map represents a real distance of: A) 75 m B) 750 m C) 7 500 m D) 75 000 m Answer: B
The perpendicular bisector of a line segment: A) Passes through one end at 90 degrees B) Passes through the midpoint at 90 degrees C) Passes through the midpoint at 45 degrees D) Divides the segment into two unequal parts Answer: B
When constructing an angle bisector, you should: A) Use a protractor to measure half the angle B) Draw equal arcs from the crossing points on both arms C) Draw a line parallel to one arm D) Measure the angle and divide by two on a calculator Answer: B
A plan is drawn at a scale of 1 : 200. A wall that is 8 m long in real life will be drawn as: A) 0.4 cm B) 4 cm C) 40 cm D) 400 cm Answer: B