Practice Level 3 - Introduction to Euclid's Geometry - Set 1

Total Questions: 15

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

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

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

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

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

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

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

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

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

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Practice Level 3 - Introduction to Euclid's Geometry - Set 1

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