Introduction to Euclid's Geometry

Q1.Given that X and Y are points such that XY = 8 cm. If Z is a point with XZ = 3 cm and ZY = 5 cm, where does Z lie?

• AZ is not on segment XY
• BZ is on segment XY between X and Y
• CZ coincides with X
• DZ is beyond Y

Q2.If two lines in a plane are both perpendicular to a third line, by Euclid's equivalent of the fifth postulate, these two lines are:

• APerpendicular to each other
• BIntersecting at some point
• CParallel to each other
• DThe same line

Q3.Euclid lived around which period?

• A500–400 BC
• B300 BC
• C100 AD
• D1600 AD

Q4.A theorem is:

• AAn assumed truth
• BA definition
• CA statement proved using axioms, postulates, and previously proved theorems
• DA guess or conjecture

Q5.Euclid's Second Postulate states that:

• AA terminated line can be produced indefinitely
• BAll right angles are equal
• CA circle can be drawn with any centre and radius
• DThings equal to the same thing are equal