Pythagoras' Theorem Quiz Questions
Assignment 3 (Online Quiz)
Total Marks: 20
Hi my students,
before you start on this quiz, ask yourself, are you ready for it?
- Yes! All the way! Then hit the Start button.
- No! Then please take some more time to revise what you have learnt.
Some points to take note while doing the quiz:
- use the Pythagoras' theorem where applicable
- all diagrams are not drawn to scale
- show all workings clearly for open questions
- calculators are allowed
Good Luck!
- 1.
- A.
(a) and (f)
- B.
(c) and (e)
- C.
(b) and (c)
- D.
(b) and (d)
- E.
(b), (c) and (e)
Correct Answer
B. (c) and (e) -
- 2.
- A.
3 units
- B.
4 units
- C.
5 units
- D.
16 units
- E.
25 units
Correct Answer
C. 5 unitsExplanation
Form a right triangle: Imagine a right triangle where AB is the hypotenuse. Draw a vertical line down from B and a horizontal line right from A to create the legs of the triangle.
Find the length of the legs: Count the grid squares to find the length of each leg. One leg is 3 units long, and the other is 4 units long.
Apply the Pythagorean Theorem: The Pythagorean Theorem states: a² + b² = c² where a and b are the lengths of the legs, and c is the length of the hypotenuse.
Substitute the values: 3² + 4² = c²
Calculate: 9 + 16 = c²
Simplify: 25 = c²
Solve for c: c = √25 = 5
Therefore, the distance between points A and B is 5 units.Rate this question:
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- 3.
- 4.
- 5.
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