Mathematics for IGCSE & O level - Transformations (Section 3)
1
If a point (x, y) is reflected across the line y = 2, what are its new coordinates?
2
A shape is rotated 90 degrees clockwise around the origin. The point (2, 5) will become:
3
Which transformations can alter the orientation of a shape?
4
Which transformation will preserve the shape, but change the size of the object?
5
What type of transformation is shown when a shape is reflected, rotated, or translated?
6
What is the key difference between the object and its image?
Risposta(C)
The image is the result of transformation.
7
Which transformation does NOT change the size of a shape?
8
How is the center of enlargement found?
Risposta(A)
By extending lines from the corresponding points.
9
What remains unchanged during an enlargement?
10
If a shape is enlarged by a scale factor of 0.75, is the image larger or smaller than the original shape?
11
Which transformations are isometries?
12
Which transformation could change the size of an image?
13
A shape is translated by the vector $\begin{pmatrix} -4 \ 2 \end{pmatrix}$. Which of the following describes the movement?
14
What transformation changes the position of an object without changing its size or shape?
15
Which of the following transformations preserves the size and shape of the object?
16
What does a scale factor of -1 in an enlargement do to the image?
Risposta(A)
It inverts the image and keeps the same size.
17
What describes the effect of a negative scale factor in an enlargement?
Risposta(C)
The image is inverted on the opposite side of the center of enlargement.
18
What is the key characteristic that defines when the image is inverted?
Risposta(B)
The scale factor is negative.
19
Which transformation always results in congruent figures?
20
Which of the following is NOT a transformation?
21
What does a scale factor of 1.5 do to an image?
22
Which of the following transformations can be considered isometries?
23
What is the center of rotation?
Risposta(B)
The point around which an object is turned.
24
What happens to a shape when the scale factor is 0?
Risposta(B)
The shape vanishes to a point.
25
Which transformations are isometries?
26
What type of transformation changes the distance of points from a fixed point?
27
Which of the following transformation changes the position of a shape without altering its size or shape?
28
What happens if the center of enlargement is moved?
Risposta(C)
The position of the image changes.
29
What type of transformation is described by the vector (3,-1)?
30
Which of the following are types of transformations?
31
Which type of transformation involves a turn?
32
Which of these transformations are isometries?
33
What properties are maintained by a reflection?
34
When performing a reflection, the image is always:
Risposta(B)
The same size as the original shape
35
Which of the following statements are TRUE about the transformations?
36
Which of the following transformations do not alter the shape?
37
Which transformation does NOT change the orientation of the figure?
38
A point is at coordinates (4, -2). A reflection over the line y = -1 is applied. What are the new coordinates?
39
Which transformation type doesn't change the position of a point?
40
Which transformations maintain congruence?
41
Which of the following is NOT preserved under a translation?
42
What is true about a reflection?
Risposta(A)
The image is the same size, but reflected.
43
Which type of transformation can be defined using a vector?
44
Which of the following describes how an object moves under a translation?
Risposta(C)
Slide along a straight line
45
In a reflection, what is the relationship between the original shape and its image relative to the mirror line?
Risposta(A)
They are the same distance from the mirror line.
46
What is the center of rotation if an image is rotated 180 degrees?
Risposta(A)
The point from where the rotation is performed
47
Which transformation always produces a congruent image?
48
What is another word for 'slide'?
49
What must be used in order to perform a translation?
50
What must be considered when performing an enlargement?
Risposta(A)
A scale factor and a center of enlargement.
