Introduction to Euclid's Geometry quiz

Euclid's famous book is called:

Euclid taught mathematics at:

The Elements was divided into:

According to Euclid, a point is that which has:

Things which are equal to the same thing are:

The whole is:

Through two distinct points, the number of lines that can be drawn is:

The Sulbasutras were manuals for:

All right angles are equal to one another is Euclid's:

A statement that is proved using axioms and postulates is called a:

State Euclid's fifth postulate. (2 marks)

State Playfair's axiom. (2 marks)

What did Euclid mean by a surface and a plane surface? (2 marks)

What are undefined terms in geometry? Give two examples. (2 marks)

Write Euclid's third postulate. (2 marks)

If two salaries are equal and each is doubled, what can be said of the new salaries? Name the axiom. (2 marks)

How did the Egyptians use geometry? (2 marks)

Name two Greek mathematicians who lived before Euclid. (2 marks)

What is meant by consistent axioms? (2 marks)

Define parallel lines. Are the terms line and point needed to define them? (2 marks)

If AB = 10 cm, BC = 10 cm and AB = CD, show that BC = CD. If AC is formed by placing AB and BC end to end on a line, find AC and state the axiom used. (3 marks)

If 2x = 18 and 2y = 18, show that x = y, stating the axiom. Find x and y. (3 marks)

How many lines can be drawn through 5 points, no three of which are collinear? How many through 3 points that are collinear? (3 marks)

In a figure, AC = BD, where C and B lie between A and D on a line in the order A, C, B, D. Show that AB = CD. If AC = 6 cm and CB = 2 cm, find AB and CD. (3 marks)

The Sulbasutras date from about 800 BCE to 500 BCE, and Euclid lived around 300 BCE. About how many years before Euclid did the earliest Sulbasutras exist? How many years ago did Euclid live, counting to 2026 CE? (3 marks)

Read the passage and answer the questions. Riya and Meera have equal amounts of money. Their mother gives each of them Rs 50 more. Later, they each spend half of what they have. (i) Compare their money after their mother gives them Rs 50. Name the axiom. (ii) Compare their money after they spend half. Name the axiom. (iii) Write the axiom about halves of the same thing. (5 marks)

Read the passage and answer the questions. In ancient Egypt, the Nile flooded every year and washed away the boundaries of fields. Officials called rope stretchers re-measured the land. (i) What does the word geometry mean? (ii) Why did the Egyptians develop geometry? (iii) How did Euclid's approach differ from the practical approach of the Egyptians? (5 marks)

Read the passage and answer the questions. A carpenter draws a line on a wooden plank between two nails and extends it to the edge. He then draws a circle with a compass. (i) Which postulate allows him to draw a line between two nails? (ii) Which postulate allows him to extend the line? (iii) Which postulate allows him to draw the circle? (5 marks)

Read the passage and answer the questions. Two rail tracks run side by side and never meet. A road crosses both tracks, making interior angles of 100 degrees and 80 degrees on the same side. (i) Which postulate relates to this situation? (ii) What is the sum of the interior angles on the same side? (iii) What would happen if the sum were less than 180 degrees? (5 marks)

Read the passage and answer the questions. A teacher says a pizza is greater than any slice cut from it, and that if two slices are each half of the same pizza, they are equal. (i) Which axiom states the first idea? (ii) Which axiom states the second idea? (iii) Give one more example of each from daily life. (5 marks)

State Euclid's five postulates. Draw a figure for each of the first three and explain them. (6 marks)

Prove that an equilateral triangle can be constructed on any given line segment. Draw a neat figure and state the postulates and axioms used. (6 marks)

Draw figures to illustrate Euclid's fifth postulate and Playfair's axiom. Explain why the fifth postulate is important. (6 marks)

Prove that every line segment has one and only one midpoint. Draw a figure and state the axioms used. (6 marks)

Draw a timeline showing the development of geometry from Egypt, Babylonia and the Harappan civilisation to Euclid. Explain the contribution of each. (6 marks)