Prove that an equilateral triangle can be constructed on any given line segment.
Introduction to Euclid’s Geometry question bank (Maths)
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Which of the following statements are true and which are false? Give reasons for your answers.
$(i)$ Only one line can pass through a single point.
$(ii)$ There are an infinite number of lines which pass through two distinct points.
$(iii)$ $A$ terminated line can be produced indefinitely on both the sides.
$(iv)$ If two circles are equal,then their radii are equal.
$(v)$ In the figure,if $AB = PQ$ and $PQ = XY,$ then $AB = XY$.

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