Practice 9 – Level 2 – Introduction to Euclid’s Geometry – Set 2 Leave a Comment / By Gulam Hamza / July 23, 2024 Practice 9 - Level 2 - Introduction to Euclid's Geometry - Set 2 Total Questions: 25 1. In the given figure, AB = 8 cm and BC = 6 cm. What is the length of AC in triangle ABC if angle ABC is $ \displaystyle \text{9}0{}^\circ $ ? Topic: Basic Terms and Definitions 10 cm 12 cm 14 cm 6 cm None 2. In the given figure, if lines AB and CD are parallel, What will the measure of ∠DNE be? Topic: Euclid's Postulates $ \displaystyle 180{}^\circ $ $ \displaystyle 120{}^\circ $ $ \displaystyle 105{}^\circ $ $ \displaystyle 130{}^\circ $ None 3. In the given figure, what is the measure of angle B if AB = AC and angle A = $ \displaystyle 50{}^\circ $ ? Topic: Euclid's Definitions $ \displaystyle 50{}^\circ $ $ \displaystyle 65{}^\circ $ $ \displaystyle 75{}^\circ $ $ \displaystyle 80{}^\circ $ None 4. If AB = 5 cm and BC = 12 cm. Is triangle ABC a right-angled triangle? Topic: Basic Terms and Definitions Yes No Cannot be determined Not a valid triangle None 5. If a circle has a radius of 7 cm, what is its circumference? Topic: Euclid's Definitions 44 cm 21 cm 14 cm 28 cm None 6. If ∠BAC = $ \displaystyle 90{}^\circ $ , what type of triangle is ABC? Topic: Euclid's Postulates Right-angled triangle Acute-angled triangle Obtuse-angled triangle Equilateral triangle None 7. If two angles are supplementary and one angle is $ \displaystyle \text{7}0{}^\circ $, what is the other angle? Topic: Euclid's Definitions $ \displaystyle \text{5}0{}^\circ $ $ \displaystyle \text{7}0{}^\circ $ $ \displaystyle \text{11}0{}^\circ $ $ \displaystyle \text{3}0{}^\circ $ None 8. What is the length of the side opposite to the right angle in a right-angled triangle with sides 9 cm and 12 cm? Topic: Basic Terms and Definitions 15 cm 21 cm 10 cm 8 cm None 9. If a polygon has 6 sides, what is it called? Topic: Basic Terms and Definitions Heptagon Pentagon Octagon Hexagon None 10. Which of the following is an axiom? Topic: Euclid's Postulates Universal truth specific to geometry Definitions The universal truth in all branches of Mathematics Theorems None 11. In the given figure, what is the measure of ∠B if AB = AC and ∠A = $ \displaystyle 50{}^\circ $ ? Topic: Euclid's Definitions $ \displaystyle 80{}^\circ $ $ \displaystyle 50{}^\circ $ $ \displaystyle 85{}^\circ $ $ \displaystyle 65{}^\circ $ None 12. If diagonals AC and BD intersect at point O, what is the length of diagonal AC in rectangle ABCD with sides AB = 12 cm and BC = 5 cm? Topic: Basic Terms and Definitions 17 cm 10 cm 13 cm 12 cm None 13. In the given figure, if ∠AOC is $ \displaystyle 120{}^\circ $ , what is ∠BOD? Topic: Euclid's Postulates $ \displaystyle 30{}^\circ $ $ \displaystyle 60{}^\circ $ $ \displaystyle 120{}^\circ $ $ \displaystyle 90{}^\circ $ None 14. What is the length of the arc AB in a circle with center O and radius 5 cm, where ∠AOB = $ \displaystyle \text{60}{}^\circ $ ? Topic: Basic Terms and Definitions $ \displaystyle \frac{{10\pi }}{{3}}$ cm $ \displaystyle \frac{{5\pi }}{{2}}$ cm $ \displaystyle \frac{{5\pi }}{{3}}$ cm $ \displaystyle \frac{{10\pi }}{{7}}$ cm None 15. What is the area of trapezoid ABCD with bases AB = 8 cm, CD = 12 cm, and height 5 cm? Topic: Euclid's Definitions $ \displaystyle 30\text{ }cm{}^\text{2}$ $ \displaystyle 40\text{ }cm{}^\text{2}$ $ \displaystyle 50\text{ }cm{}^\text{2}$ $ \displaystyle 25\text{ }cm{}^\text{2}$ None 16. How many dimension does a surface has? Topic: Basic Terms and Definitions 1 2 3 4 None 17. Which of the following are boundaries of a surface? Topic: Basic Terms and Definitions Points Lines Curves Surfaces None 18. How many dimensions a solid has? Topic: Basic Terms and Definitions 1 2 3 4 None 19. How many dimension a point has? Topic: Basic Terms and Definitions 0 1 2 3 None 20. The shape of the base of a pyramid is: Topic: Basic Terms and Definitions Square Recatngle Triangle Any polygon None 21. The three steps from solids to points are: Topic: Euclid's Definitions Solids – surfaces – lines- points Solids – lines – surfaces – points Lines – surfaces – points – solids Lines – points – surfaces – solids None 22. Which of the following needs a proof? Topic: Euclid's Postulates Theorems Axioms Postulate Definition None 23. It is known that if x + y = 30 then x + y + z = 30 + z. Euclid’s axiom that illustrates this statement is Topic: Euclid's Axioms First Axiom Second Axiom Third Axiom Fourth Axiom None 24. The number of interwoven isosceles triangles in Sriyantra (in the Atharvaveda) is: Topic: Triangle Properties 6 7 9 11 None 25. Which of the following is not a Euclidean construction tool? Topic: Euclid's Definitions Ruler Compass Protractor Divider None 1 out of 25 Time's up
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