constructions an angle of 90° at a given point on a line

3
constructions An angle of 90° at a given point An angle of 90° at a given point on a line on a line

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Page 1: constructions An angle of 90° at a given point on a line

constructions

An angle of 90° at a given point on a An angle of 90° at a given point on a lineline

Page 2: constructions An angle of 90° at a given point on a line

constructions

Task: Task: C is a point on line AB.

Centre O, radius OC, draw an arc to cut AB again at D.

Join DO and produce it to meet the circle at E.

Mark any point O outside AB. Join CE.

ECB is 90°.

EC is the perpendicular to AB.

Task: Task: C is a point on line AB. Using ruler and compasses construct an angle

of 90° at C. Construction:Construction:

An angle of 90° at a given point on a An angle of 90° at a given point on a lineline

CA BD

O

EConclusion:Conclusion:

Page 3: constructions An angle of 90° at a given point on a line

constructions

Conclusion:Conclusion:

ECB is 90°.

EC is the perpendicular to AB.

Task: Task: C is a point on line AB. Using ruler and compasses construct an angle

of 90° at C.

Task:Task:

An angle of 90° at a given point on a An angle of 90° at a given point on a lineline

CA BD

Task: Task: C is a point on line AB.

O

E RESTART

END SHOW