Geometric mappings | math4u.vsb.cz

1103162602

Level:

C

Let

A B C D

be a square. Find the dilated image of the square with

S

being the centre of dilation and scale factor

- \frac{1}{2}

. The point

S

is also the middle of the square

A B C D

(see the picture).

1103162603

Level:

C

Let

A B C

be a triangle (see the picture). Find the dilated image of the triangle with

A

being the centre of dilation and the scale factor

\frac{5}{4}

.

1103162604

Level:

C

Let

A B C

be a triangle with the centroid

T

(see the picture). Find the dilated image of the triangle with

T

being the centre of dilation and the scale factor

- \frac{1}{2}

.

1103162605

Level:

C

Let

A B C

be a triangle (see the picture). Find the dilated image of the triangle with

O

(the origin) being the centre of dilation and the scale factor

2

.

1103162606

Level:

C

The figure below shows two semicircles

\hat{A B}

and

\hat{D A}

. Find the dilation scale factor if you know that the semicircle

\hat{D A}

is the image of the semicircle

\hat{A B}

in dilation with the centre

C

.

- 0.5

0.5

- 0.25

0.75

2110016705

Level:

C

Let

A B C D

be a square. Find the dilated image of the square with

S

being the centre of dilation and scale factor

\frac{1}{2}

. The point

S

is also the middle of the square

A B C D

(see the picture).

2110016706

Level:

C

Let

A B C

be a triangle (see the picture). Find the dilated image of the triangle with

B

being the centre of dilation and the scale factor

\frac{3}{2}

.

2110016707

Level:

C

Let

A B C

be a triangle with the centroid

T

(see the picture). Find the dilated image of the triangle with

T

being the centre of dilation and the scale factor

\frac{1}{2}

.

2110016708

Level:

C

Let

A B C

be a triangle (see the picture). Find the dilated image of the triangle with

O

(the origin) being the centre of dilation and the scale factor

- 2

.

9000149309

Level:

C

Consider a dilatation which maps

A

onto

B

. The center is the dilatation is

S

. Find a correct statement.

The point

S

is on the line through the points

A

and

B

.

The points

S

,

A

and

B

form a right triangle

A B S

.

The distance from

S

to

A

is smaller than the distance from

A

to

B

.

The points

S

,

A

and

B

form a triangle

A B S

with at least two sides of equal length.