Practice 9 – Level 3 – Introduction to Euclid’s Geometry – Set 1 Leave a Comment / By Gulam Hamza / July 24, 2024 Practice Level 3 - Introduction to Euclid's Geometry - Set 1 Total Questions: 15 1. In a parallelogram ABCD, if AB = 8 cm, AD = 5 cm, and ∠DAB = $ \displaystyle \text{60}{}^\circ $, what is the area of the parallelogram? Topic: Parallelogram Properties $ \displaystyle 20\surd 3\text{ }c{{m}^{2}}$ $ \displaystyle 30\text{ }c{{m}^{2}}$ $ \displaystyle 40\text{ }c{{m}^{2}}$ $ \displaystyle 50\text{ }c{{m}^{2}}$ None 2. In a circle with center O, radius 10 cm, and chord AB of length 12 cm, what is the perpendicular distance from O to AB? Topic: Circle Properties 4 cm 6 cm 5 cm 8 cm None 3. In an isosceles triangle ABC with AB = AC, BC = 10 cm, and height from A to BC = 8 cm, what is the length of side AB? Topic: Triangle Properties 14 cm 13 cm 9 cm 12 cm None 4. In a rectangle ABCD, if AB = 12 cm and BC = 8 cm, what is the length of the diagonal AC? Topic: Rectangle Properties 20 cm 14 cm 10 cm 8 cm None 5. In a right-angled triangle ABC with ∠ABC as the right angle, if AB = 7 cm and BC = 24 cm, what is the length of the hypotenuse AC? Topic: Triangle Properties 25 cm 24 cm 26 cm 18 cm None 6. In a trapezoid ABCD, if bases AB = 10 cm, CD = 6 cm, and height = 5 cm, what is the area of the trapezoid? Topic: Trapezoid Properties $ \displaystyle 30\text{ }c{{m}^{2}}$ $ \displaystyle 50\text{ }c{{m}^{2}}$ $ \displaystyle 40\text{ }c{{m}^{2}}$ $ \displaystyle 25\text{ }c{{m}^{2}}$ None 7. In an equilateral triangle ABC with sides labeled 15 cm and an inscribed circle, what is the radius of the inscribed circle? Topic: Triangle Properties 5.5 cm 6.6 cm 7.2 cm 8.6 cm None 8. In the given parallelogram ABCD, if sides AB = 7 cm and AD = 6 cm, and the angle between them is 45 degrees, what is the area of the parallelogram? Topic: Parallelogram Properties $ \displaystyle 25\text{ }c{{m}^{2}}$ $ \displaystyle 30\text{ }c{{m}^{2}}$ $ \displaystyle 35\text{ }c{{m}^{2}}$ $ \displaystyle 40\text{ }c{{m}^{2}}$ None 9. In a rhombus ABCD with all sides labeled 10 cm, what is the length of the diagonals AC and BD if they intersect at right angles? Topic: Rhombus Properties 15 cm and 15 cm 16 cm and 16 cm 10 cm and 10 cm 17 cm and 17 cm None 10. In a triangle ABC with sides AB = 8 cm, BC = 6 cm, and AC = 10 cm, what is the length of the altitude from vertex A to side BC? Topic: Triangle Properties 8 cm 5 cm 6 cm 7 cm None 11. In a circle with center O, radius 7 cm, and tangent AB at point A, what is the length of the tangent from the point of tangency A to point B if OB is the radius? Topic: Circle Properties 7 cm 10 cm 14 cm 5 cm None 12. In a triangle ABC with sides AB = 9 cm, BC = 12 cm, and AC = 15 cm, what is the length of the median from vertex A to side BC? Topic: Triangle Properties 11 cm 13 cm 10 cm 9 cm None 13. In a rectangle ABCD, if AB = 8 cm and BC = 6 cm, what is the length of diagonal AC? Topic: Rectangle Properties 14 cm 10 cm 12 cm 15 cm None 14. In a trapezoid ABCD, if bases AB = 8 cm and CD = 5 cm, and height = 4 cm, what is the area of the trapezoid? Topic: Trapezoid Properties $ \displaystyle 26\text{ }c{{m}^{2}}$ $ \displaystyle 28\text{ }c{{m}^{2}}$ $ \displaystyle 32\text{ }c{{m}^{2}}$ $ \displaystyle 38\text{ }c{{m}^{2}}$ None 15. What is the sum of its interior angles in a regular pentagon ABCDE? Topic: Pentagon Properties $ \displaystyle 720{}^\circ $ $ \displaystyle 350{}^\circ $ $ \displaystyle 450{}^\circ $ $ \displaystyle 540{}^\circ $ None 1 out of 15 Time's up
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