Geometric mappings | math4u.vsb.cz

2010016709

Level:

A

Which of the following answers contains three letters so that each letter is without a point of symmetry? (A letter has a point of symmetry if there exists a point such that the reflection through this point maps the letter into itself.)

A, U, K

S, O, H

N, U, K

A, O, H

2010016710

Level:

A

How many points of symmetry there exist for an equilateral triangle? (A point is the point of symmetry of a triangle if the reflection through this point maps the triangle into itself.)

none

one

two

three

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

.

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}

.

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}

.

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).

2110016704

Level:

B

The triangle

A B C

is translated by the vector

\vec{u}

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

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

of the triangle

A B C

in the given translation?

2110016703

Level:

B

Let a rectangle

A B C D

be translated by vector

\vec{A S}

, where

S

is the center 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?

2110016702

Level:

B

An equilateral triangle

A B C

rotates

90^{\circ}

clockwise about the point

O (4; 2)

. Which of the pictures shows the triangle

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

that is the image of the rotated triangle

A B C

?

2110016701

Level:

B

Let

A B C D

be a rectangle where

| A B | = 2 | B C |

and let

S

be a point on the perpendicular bisector of the side

B C

such that its distance from

B C

is

\frac{1}{2} | B C |

(see the picture). The rectangle

A B C D

rotates

90^{\circ}

clockwise about

S

. Which of the pictures shows the rectangle

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

that is the image of rotated rectangle

A B C D

?