If a point Q lies between two points P and R such that PQ = QR, prove that PQ = 1/2 PR.

State whether the following statements are true or false? Also give reasons for your answers.

a) Only one line can pass through a given point.

b) All right angles are equal.

c) Circles with same radii are equal.

d) A finite line can be extended on its both sides endlessly to get a straight line.

e) From the figure, AB > AC

In the figure given below, show that length AH > AB + BC + CD.

Draw an equilateral triangle whose sides are 5.2 cm each.

What is a conjecture? Give an example for it.