Geometric mappings | math4u.vsb.cz

1103162504

Level:

B

Let a triangle

A B C

be translated by vector

\vec{B T}

, where

T

is the centroid of the triangle (see the picture). Which of the following pictures shows correctly the image

A^{'} B^{'} C^{'}

of the triangle

A B C

in described?

1103162503

Level:

B

A triangle

A B C

is translated by vector

\vec{C A}

. Which of the following pictures shows correctly the translation

A^{'} B^{'} C^{'}

of the triangle?

1103162502

Level:

B

Let a rectangle

A B C D

be translated by vector

\vec{S B}

, where

S

is the midpoint of the rectangle. Which of the following pictures shows correctly the image

A^{'} B^{'} C^{'} D^{'}

of the rectangle

A B C D

in described translation?

1103162501

Level:

B

Let a square

A B C D

be translated by vector

\vec{A C}

. From the pictures below choose the one that shows correctly the translation

A^{'} B^{'} C^{'} D^{'}

of the square

A B C D

.

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

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

.

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}

.

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}

.

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).

1103162601

Level:

C

Let

A B C D

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

A

being the centre of dilation and the scale factor

\frac{1}{2}

(see the picture).