Question

АВ түзуінде жататын С нүктесі мен ол түзуде жатпайтын Е нүктесі берілген .ЕС мен АВ түзулерінің орналасуы қалай?

Answer 1

Given a point C lying on the line AB and a point E not lying on that line. What is the location of the lines EC and AB?

Answer 2

We have just proved that AC = 1/2 AB.

Euclid's axioms tell us that wholes are equal when equals are added to equals.

Show that AC = 1/2 AB if a point C is located between two points A and B such that AC = BC. Draw the figure to explain.

Given: AC = BC

Adding AC on both sides, we get

⇒ AC + AC = BC + AC (BC + AC coincides with AB)

⇒ 2 AC = AB

⇒ AC = 1/2 AB

Question

If a point C lies between two points A and B such that AC = BC, then prove that AC = 1/2 AB. Explain by drawing the figure.