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10th grade - Geometry final quiz

Total questions: 20

Worksheet time: 27mins

Name
Class
Date
1.

Any equilateral triangle has

a)

a right-angle

b)

a hypotenuse

c)

all its sides in the same size

d)

a circumscribed quadrilateral

2.

Two triangles are similar if

a)

two sides are the same

b)

the ratio of two sides is the same

c)

two ratio od all the three sides are equal

d)

they both have a rigth-angle

3.

The radius of a circle is 4 cm. How much is half of the perimeter of the circle?

a)

11,5 cm

b)

25,13 cm

c)

9,46 cm

d)

12,57 cm

4.

Thales's theorem applies to

a)

equilateral triangles

b)

right-angled triangles

c)

isosceles triangles

d)

general triangles

5.

The height theorem applies to

a)

equilateral triangles

b)

right-angled triangles

c)

general triangles

d)

isosceles triangles

6.

The side of a cube is 2 cm. The side of another cube is 4 cm. That is the ratio of the volumes of these cubes?

a)

2:4

b)

4:16

c)

8:64

d)

1:2

7.

If we connect two points on the circumference of the circle with a straight line, we get

a)

a radius

b)

a sector

c)

a chord

d)

a tangent line

8.

A midsegment is ..... the opposite side.

a)

parallel to

b)

on

c)

equal to

d)

parallel to and half of

9.

The cente of the circumscribed circle in any triangle is the intersection of the

a)

median lines

b)

heights

c)

angle bisectors

d)

perpendicular side bisectors

10.

The leg theorem canbe applied in

a)

quadrilaterals

b)

isosceles triangles

c)

triangles

d)

right-angled triangles

11.

The angle-bisector theorem can be applied in

a)

isosceles triangles only

b)

any type of triangle

c)

right-angled triangles

d)

equilateral triangles only

12.

A median

a)

halves the area of the triangle

b)

halves the area of the triangle and a side

c)

is the incentre of the triangle

d)

is none of the above

13.

The side of a square is 5 cm and the side of another square is 20 cm. What is the ratio of the areas of these squares?

a)

5:20

b)

1:16

c)

1:4

d)

1:64

14.

Perpendicular side bisectors are perpendicular to

a)

the side of the triangle

b)

each other

c)

the median

d)

the angle bisector

15.

In an isosceles triangle .... are of the same size.

a)

all the three sides

b)

two angles

c)

all the three angles

d)

all the three angles and all the three sides

16.

Which plural form is wrong?

a)

radii

b)

vertices

c)

verteces

d)

spheres

17.

For the transformation called 'enlargement' we need

a)

an axis of symmetry

b)

a centre and a tangent line

c)

a vector and a line

d)

a point and a ratio

18.

For the transformation called 'central reflection' we need

a)

a vector

b)

an axis of symmetry

c)

a centre, which is a point

d)

a ratio

19.

The area of a triangle can be calculated by the formula

a)

r2*(pi)

b)

one side*another side*0,5

c)

a side*a height

d)

a side*a height for this side*0,5

20.

The opposite angles of an inscribed quadrilateral ....

a)

add up to be 180O

b)

are the same

c)

are always acute

d)

equal