Class 9 Quiz Level 3 (Difficult) – Introduction to Euclid's Geometry

Total questions: 10

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

Deselect Answer

$ \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 rectangle ABCD, if AB = 12 cm and BC = 8 cm, what is the length of the diagonal AC?

Topic: Rectangle Properties

Deselect Answer

20 cm

14 cm

10 cm

8 cm

None

What is the sum of its interior angles in a regular pentagon ABCDE?

Topic: Pentagon Properties

Deselect Answer

$ \displaystyle 720{}^\circ $

$ \displaystyle 350{}^\circ $

$ \displaystyle 450{}^\circ $

$ \displaystyle 540{}^\circ $

None

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

Deselect Answer

11 cm

13 cm

10 cm

9 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

Deselect Answer

$ \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 given regular pentagon ABCDE with each interior angle labelled 108 degrees, what is the sum of its interior angles?

Topic: Pentagon Properties

Deselect Answer

$\displaystyle \text{720}{}^\circ $

$\displaystyle \text{360}{}^\circ $

$\displaystyle \text{450}{}^\circ $

$\displaystyle \text{540}{}^\circ $

None

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

Deselect Answer

14 cm

12 cm

10 cm

11 cm

None

In a given rhombus ABCD with side length 8 cm, what is the length of diagonals AC and BD?

Topic: Rhombus Properties

Deselect Answer

8 cm

12 cm

16 cm

$ \displaystyle 8\surd 2\text{ cm}$

None

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

Deselect Answer

$ \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

10.

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

Deselect Answer

6 cm

8 cm

9 cm

7 cm

None

1 out of 10

Class 9 Quiz Level 3 (Difficult) – Introduction to Euclid's Geometry

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