Mathematics for IGCSE & O level - Transformations (Section 2)
1
What is true about the angles after a translation?
პასუხი
(D)
The angles remain the same.
2
If an object is transformed by a scale factor of 2 and the image is at the same position, how does the object change?
პასუხი
(C)
It is enlarged.
3
In transformations, what is the 'image'?
პასუხი
(B)
The result of the transformation.
4
In a reflection, which properties of the object remain the same in the image?
პასუხი
(B)
Shape and size only.
5
How is the position of the image related to the object after a translation?
პასუხი
(B)
The image is in a different position.
6
What are the essential characteristics of a single transformation?
პასუხი
(A)
Only one type of transformation.
7
Which of the following is a rigid transformation?
პასუხი
A
B
D
8
What is the centre of enlargement in a shape enlarged by scale factor k=2? (center is located at point (1,1) )
პასუხი
(A)
(1,1)
9
Which of the following transformations results in an image that is the same size and shape as the original object, but in a different position?
პასუხი
(D)
all of the above
10
What does an enlargement with a scale factor greater than 1 do to a shape?
პასუხი
(D)
It enlarges the shape.
11
What is the difference between a rotation and a reflection?
პასუხი
(C)
A reflection reverses the orientation, a rotation does not.
12
Which transformation does NOT alter the shape of the original figure?
პასუხი
(B)
Reflection
13
What happens to the coordinates of a point during a reflection across the y-axis?
პასუხი
(A)
The x-coordinate changes sign.
14
What are the characteristics of an isometry?
პასუხი
(C)
It preserves distance.
15
What happens when a point is reflected over the line y = x?
პასუხი
(B)
The x and y coordinates switch places.
16
Which of the following describes the transformation that is equivalent to a rotation of 90° clockwise about the origin, followed by a reflection in the line y = x?
პასუხი
(D)
A combination of transformations
17
A shape is rotated 180 degrees about a point. Which of the following is true about the image and the original shape?
პასუხი
(A)
The image is the same size but in a different position.
18
In a translation, what changes about the object's position?
პასუხი
(D)
Location
19
What does the center of rotation determine in a rotation?
პასუხი
(B)
The point around which the object turns.
20
In an enlargement, what is the role of the scale factor?
პასუხი
(B)
To change the size of the object
21
Which transformation does NOT change the area of the shape?
პასუხი
(B)
Translation
22
If a triangle has vertices A(1, 1), B(1, 3), and C(3, 1), what are the vertices of the image after a reflection in the line y=x?
პასუხი
(A)
A'(1, 1), B'(3, 1), C'(1, 3)
23
If the scale factor is less than 1, what happens to the image?
პასუხი
(B)
The image gets smaller.
24
What are two important things about an enlargement?
პასუხი
A
B
25
Which transformation changes the size of a shape?
პასუხი
(D)
Enlargement
26
In the context of transformations, what does 'orientation' refer to?
პასუხი
(C)
The way the object is 'facing'.
27
Which of these is not preserved in an enlargement?
პასუხი
(D)
Size
28
If a point is rotated 270 degrees counterclockwise about the origin, what are the new coordinates?
პასუხი
(A)
(y, -x)
29
Which of the following transformations change the size of the object?
პასუხი
(D)
Enlargement
30
Which of the following statements is correct about Enlargement?
პასუხი
A
B
31
Which of the following must be the same to describe a single transformation?
პასუხი
A
B
C
32
If the coordinates of a point are (3, -2), and it is enlarged by a scale factor of 2, what are the new coordinates (assuming center of enlargement is the origin)?
პასუხი
(C)
(6, -4)
33
In a reflection, what do we call the line that acts as a mirror?
პასუხი
(A)
Mirror line
34
A point with coordinates (5, -3) is reflected in the x-axis. What are the new coordinates?
პასუხი
(B)
(5, 3)
35
Which of the following transformations maintains the shape of a geometric figure?
პასუხი
(D)
All of the above
36
What remains unchanged in a reflection?
პასუხი
(D)
Shape
37
If a shape is translated using the vector $\begin{pmatrix} 0 \ -5 \end{pmatrix}$, what happens to its position?
პასუხი
(B)
The shape moves 5 units down.
38
Which transformation will always result in a change of size?
პასუხი
(D)
Enlargement (except with a scale factor of 1)
39
Which transformation involves a center of rotation?
პასუხი
(C)
Rotation
40
What happens to the image if the scale factor of an enlargement is negative?
პასუხი
(A)
The image is inverted on the opposite side of the center of enlargement from the object.
41
If a shape is translated by the vector <2, -3>, how does the shape change?
პასუხი
(B)
It moves 2 units right and 3 units down.
42
If a point is translated by the vector <0, 4>, what will happen?
პასუხი
(C)
The point moves 4 units up.
43
In a rotation, all the points move through the same angle about the same...
პასუხი
(B)
Centre
44
If the scale factor is negative, what is the effect on the object in an enlargement?
პასუხი
(B)
The image is inverted.
45
What is the result if we double the size of the image?
პასუხი
(A)
Enlargement with scale factor 2.
46
If a point is reflected across the y-axis, how do the coordinates change?
პასუხი
(A)
(x, y) becomes (-x, y)
47
Which transformation(s) will always produce congruent images?
პასუხი
A
C
D
48
If a figure is translated, how do its properties change?
პასუხი
(B)
The shape and size remain the same.
49
In an enlargement, how is the image related to the original object?
პასუხი
(C)
The image's shape is preserved and it may change in size
50
If a figure is rotated 90 degrees counterclockwise, about the origin, what are the rules of the transformation?
