Positional properties

1003030302

Level:

Let

p

be a line and

k

be a circle with the centre

S

and the radius of

3 cm

. Given the distance of

p

and

S

2.8 cm

, the line

p

is:

a secant of the circle

k

a tangent of the circle

k

an outer line of the circle

k

a chord of the circle

k

1003030303

Level:

Let

k_{1}

and

k_{2}

be circles with the centres

S_{1}

S_{2}

, and the radii of lengths

5 cm

and

1 cm

consecutively. Given

| S_{1} S_{2} | = 3 cm

, what is the mutual position of these circles?

The circle

k_{2}

lies inside the circle

k_{1}

The circle

k_{1}

lies inside the circle

k_{2}

The circles

k_{1}

and

k_{2}

intersect.

The circles

k_{1}

and

k_{2}

are externally tangent.

The circles

k_{1}

k_{2}

are internally tangent.

1003030304

Level:

Let

k_{1}

and

k_{2}

be circles with the centres

S_{1}

S_{2}

, and the radii of lengths

5 cm

and

1 cm

consecutively. Given

| S_{1} S_{2} | = 7 cm

, what is the mutual position of these circles?

The circle

k_{2}

lies outside the circle

k_{1}

The circle

k_{2}

lies inside the circle

k_{1}

The circles

k_{1}

and

k_{2}

intersect.

The circles

k_{1}

and

k_{2}

are externally tangent.

The circles

k_{1}

and

k_{2}

are internally tangent.

1003030305

Level:

Let

k_{1}

and

k_{2}

be circles with the centres

S_{1}

S_{2}

, and the radii of lengths

5 cm

and

1 cm

consecutively. Given

| S_{1} S_{2} | = 6 cm

, what is the mutual position of these circles?

The circles

k_{1}

and

k_{2}

are externally tangent.

The circles

k_{1}

and

k_{2}

are internally tangent.

The circle

k_{1}

lies inside the circle

k_{2}

The circle

k_{2}

lies inside the circle

k_{1}

1003030306

Level:

Let

k_{1}

and

k_{2}

be circles with the centres

S_{1}

S_{2}

, and the radii of lengths

5 cm

and

1 cm

consecutively. Given

| S_{1} S_{2} | = 4 cm

, what is the mutual position of these circles?

The circles

k_{1}

and

k_{2}

are internally tangent.

The circles

k_{1}

and

k_{2}

are externally tangent.

The circle

k_{1}

lies inside the circle

k_{2}

The circle

k_{2}

lies inside the circle

k_{1}

1003030307

Level:

Let

k_{1}

and

k_{2}

be circles with the centres

S_{1}

S_{2}

, and the radii of lengths

5 cm

and

1 cm

consecutively. Given

| S_{1} S_{2} | = 5 cm

, what is the mutual position of these circles?

The circles

k_{1}

and

k_{2}

intersect.

The circles

k_{1}

and

k_{2}

are internally tangent.

The circles

k_{1}

and

k_{2}

are externally tangent.

The circle

k_{1}

lies inside the circle

k_{2}

The circle

k_{2}

lies inside the circle

k_{1}

1003030308

Level:

Let

k_{1}

and

k_{2}

be circles with the centres

S_{1}

S_{2}

, and the radii of lengths

5 cm

and

1 cm

consecutively. Given

S_{1} = S_{2}

, what is the mutual position of these circles?

The circles

k_{1}

and

k_{2}

are concentric.

The circles

k_{1}

and

k_{2}

intersect.

The circle

k_{1}

lies inside the circle

k_{2}

The circle

k_{2}

lies outside the circle

k_{1}

The circles

k_{1}

and

k_{2}

are internally tangent.

1103030210

Level:

Let there be two distinct parallel lines

a

and

b

. What do we call the pair of in the picture indicated angles

α

and

β

which are defined by the transversal

p

Alternate angles

Corresponding angles

Adjacent angles

Vertical angles

2000006501

Level:

How many pairs of intersecting planes are created by sides of a cube?

12

6

9

3

2000006502

Level:

How many pairs of intersecting planes are created by sides of a cuboid?

12

9

6

3

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