Practice 9 - Level 3 - Introduction to Euclid's Geometry - Set 2

Total Questions: 15

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

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

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

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

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

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

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

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

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

Practice 9 - Level 3 - Introduction to Euclid's Geometry - Set 2

Welcome back