Introduction to...

Determine whether the given statements are true (T) or false (F):

(i) The whole is always less than the part.
(ii) If x = y and if a = b, then x - a = y - b.
(iii) Two distinct intersecting lines can't be parallel to the same line.

Fill in the blanks:

(i) A line has _______ dimension(s).
(ii) All ________ angles are equal to one another.
(iii) In a test, Awaab's marks are equal to Delilah's marks. After giving grace marks, marks of both become double. Now Awaab's marks are still equal to Delilah's. This is as per the Euclid's __________ axiom.
(iv) According to the Euclid's axiom, things which _______ one another are equal to one another.

Match the following:

Which statement is correct according to Postulate 5?

Which of the following statements is correct?

(I) If a + b = 5c, b + c = 5d and c = d, then a = d.
(II) If a = b, c = 2d and m = 3n, then a + c - m = b + 2d + 3n.
(III) If a = 2p, b = 2p and c = 2p, then a + b = 2b + c.
(IV) If a + b = 2r and m + n = 2r, then 2a + b = m + 2n.

If a line AB coincides with another line PQ, which of the following relationships is true?

If a = m and b = n, then which of the following relationships is true?

Euclid's fifth postulate gives an idea about