Practice 9 – Level 3 – Introduction to Euclid’s Geometry – Set 2 Leave a Comment / By Gulam Hamza / July 24, 2024 Practice 9 - Level 3 - Introduction to Euclid's Geometry - Set 2 Total Questions: 15 1. In a given circle with center O, radius 9 cm, and chord AB of length 12 cm, what is the perpendicular distance from O to AB? Topic: Circle Properties 6.7 cm 3.5 cm 4.2 cm 5.9 cm None 2. In a given right-angled triangle ABC with ∠ABC as the right angle, if AB = 8 cm and BC = 6 cm, what is the length of the hypotenuse AC? Topic: Triangle Properties 14 cm 12 cm 10 cm 11 cm None 3. In a given triangle ABC with sides AB = 6 cm, BC = 10 cm, and AC = 8 cm, what is the length of the altitude from vertex A to side BC? Topic: Triangle Properties 4.8 cm 5.2 cm 6 cm 7.2 cm None 4. In a given regular hexagon ABCDEF, what is the measure of each interior angle? Topic: Hexagon Properties $ \displaystyle \text{135}{}^\circ $ $ \displaystyle \text{150}{}^\circ $ $ \displaystyle \text{120}{}^\circ $ $ \displaystyle \text{140}{}^\circ $ None 5. In a given parallelogram ABCD, if sides AB = 9 cm and AD = 7 cm, and the height from vertex D to side AB is 5 cm, what is the area of the parallelogram? Topic: Parallelogram Properties $ \displaystyle 50\text{ }c{{m}^{2}}$ $ \displaystyle 60\text{ }c{{m}^{2}}$ $ \displaystyle 45\text{ }c{{m}^{2}}$ $ \displaystyle 70\text{ }c{{m}^{2}}$ None 6. In a given square ABCD with side length 10 cm, what is the length of the diagonals AC and BD? Topic: Square Properties 10 cm 14 cm $ \displaystyle 10\surd 2\text{ cm}$ 20 cm None 7. In a given rhombus ABCD with side length 8 cm, what is the length of diagonals AC and BD? Topic: Rhombus Properties 8 cm 12 cm 16 cm $ \displaystyle 8\surd 2\text{ cm}$ None 8. In a given right-angled triangle with angle B as the right angle, if AB = 9 cm and BC = 12 cm, what is the length of the hypotenuse AC? Topic: Triangle Properties 15 cm 10 cm 12 cm 9 cm None 9. In a given equilateral triangle with each side measuring 12 cm, what is the length of the altitude? Topic: Equilateral Triangle Properties 10 cm 12 cm 9 cm $ \displaystyle 6\surd 3\text{ cm}$ None 10. In a given trapezoid ABCD, if bases AB = 9 cm and CD = 7 cm, and height from D to AB = 5 cm, what is the area of the trapezoid? Topic: Trapezoid Properties $ \displaystyle 40\text{ }c{{m}^{2}}$ $ \displaystyle 35\text{ }c{{m}^{2}}$ $ \displaystyle 30\text{ }c{{m}^{2}}$ $ \displaystyle 45\text{ }c{{m}^{2}}$ None 11. In a given rectangle ABCD with sides AB = 15 cm and BC = 10 cm, what is the length of diagonal AC? Topic: Rectangle Properties 15 cm 20 cm 18 cm 25 cm None 12. In a given isosceles triangle ABC with sides AB = AC = 10 cm and base BC = 8 cm, what is the length of the altitude from vertex A to base BC? Topic: Isosceles Triangle Properties 6 cm 8 cm 9 cm 7 cm None 13. In a given circle with center O, radius 10 cm, and secant line ABC that intersects the circle at points A and C with AC = 16 cm, what is the length of the secant segment AB outside the circle if OB is a tangent? Topic: Circle Properties 13 cm 8 cm 10 cm 6 cm None 14. In a given right-angled triangle ABC with angle ABC as the right angle, if AB = 5 cm and BC = 12 cm, what is the length of the hypotenuse AC? Topic: Right-Angled Triangle Properties 10 cm 15 cm 13 cm 18 cm None 15. In a given regular pentagon ABCDE with each interior angle labelled 108 degrees, what is the sum of its interior angles? Topic: Pentagon Properties $\displaystyle \text{720}{}^\circ $ $\displaystyle \text{360}{}^\circ $ $\displaystyle \text{450}{}^\circ $ $\displaystyle \text{540}{}^\circ $ None 1 out of 15 Time's up
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