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Mathematics for IGCSE & O level - Transformations (Section 1)

1
In a translation, what changes about the image?
Answer
(C)
The position
2
How does the size of an object change during an enlargement?
Answer
(B)
The size increases or decreases, depending on the scale factor.
3
What is the effect on an object when rotated 180 degrees about the origin?
Answer
(C)
The object's position is reversed.
4
Which transformations are considered rigid transformations?
Answer
A
B
C
5
Which of the following describes a transformation that reduces the size of an object?
Answer
(C)
Enlargement with scale factor = 0.5
6
Which transformations change the position of an object?
Answer
A
B
C
7
Which of the following must be included in a full description of a transformation?
Answer
A
C
D
8
If an object is reflected over the line y = -x, how do the coordinates change?
Answer
(C)
(x, y) becomes (-y, -x)
9
What is the effect on an object when reflected over the y-axis?
Answer
(B)
The y-coordinate remains the same, and the x-coordinate changes sign.
10
Which transformation is a 'slide'?
Answer
(B)
Translation
11
Which transformation produces a mirror image of the original figure?
Answer
(C)
Reflection
12
What happens when you translate an object?
Answer
(C)
The object slides
13
When a shape is reflected, which is true regarding the image and the original object?
Answer
(C)
The image is a mirror image.
14
What is meant by 'congruent' figures in the context of transformations?
Answer
(A)
Figures that have the same shape and size.
15
What happens to the coordinates (x, y) after a 90-degree clockwise rotation about the origin?
Answer
(B)
(y, -x)
16
What is true about a transformation that maps shape A to shape B then shape B to shape C?
Answer
(D)
It is a combination of transformations
17
What is the effect of a scale factor of 1 on an image?
Answer
(C)
The image remains unchanged.
18
What is the difference between enlargement and other transformations like reflection, rotation, and translation?
Answer
(A)
Enlargement changes the size of the image.
19
If a point (2, 3) is rotated 180 degrees about the origin, what are its new coordinates?
Answer
(C)
(-2, -3)
20
Which of the following transformations will change the orientation of a shape?
Answer
(B)
Rotation
21
Which type of transformation would change the position of a triangle, but keep the area the same?
Answer
(B)
Reflection
22
What properties remain the same under an enlargement?
Answer
A
C
23
Which transformations are isometries that preserve the direction?
Answer
A
B
24
When an image is enlarged, which of the following changes?
Answer
A
D
25
Which of the following transformations changes the position and orientation of the shape but not the size?
Answer
(B)
Rotation
26
What is the relationship between the object and the image in a reflection?
Answer
(A)
They are congruent.
27
Which part is key in defining a translation?
Answer
(A)
Vector
28
If a point is translated by the vector $\begin{pmatrix} -3 \ 4 \end{pmatrix}$, what happens to the x and y coordinates?
Answer
(B)
x decreases by 3, y increases by 4
29
Which of the following is true about an enlargement with a scale factor of -2?
Answer
(A)
The image gets inverted.
30
Which transformation changes the position and orientation of a shape, but does not change its size?
Answer
(B)
Rotation
31
What is the effect of an enlargement with a scale factor of 1/3?
Answer
(B)
The image becomes one-third the size.
32
If you enlarge an image with a scale factor of 1, what will happen?
Answer
(A)
The image will stay the same.
33
If a shape is rotated 180 degrees, what changes?
Answer
(A)
Orientation and position
34
A shape is rotated 90 degrees clockwise about the origin. What is the effect on a point (x, y)?
Answer
(B)
(y, -x)
35
Which of the following transformations preserves both size and shape?
Answer
(B)
Rotation
36
If the scale factor is greater than 1, what happens to the image?
Answer
(B)
The image gets bigger.
37
Which transformation(s) involve a center of enlargement?
Answer
(B)
Enlargement
38
Which transformation preserves distance?
Answer
(B)
Rotation
39
Which transformations can change the orientation of a figure?
Answer
A
C
40
A point at (5, 2) is rotated 180 degrees about the origin. The resulting point is:
Answer
(B)
(-5,-2)
41
Which of the following transformations preserves both the shape and the size?
Answer
(B)
Translation
42
Which of the following describes an enlargement?
Answer
B
D
43
What is the scale factor of an enlargement that makes a shape twice as big?
Answer
(C)
2
44
Which transformation can change the orientation of an object?
Answer
(B)
Reflection
45
Which property is always preserved in a translation?
Answer
(D)
All of the above
46
If the image is reduced, which of the following is true?
Answer
(C)
The scale factor is between 0 and 1.
47
What happens to the shape during a translation?
Answer
(C)
The shape moves to a new position.
48
What is a key indicator that a transformation is an enlargement?
Answer
(A)
The size of the image is changed
49
How does the position of a point on the shape compare to the position of the point on the image after reflection?
Answer
(B)
They are on the opposite sides of the mirror line.
50
What does the scale factor of an enlargement tell you?
Answer
(C)
How much the shape increases or decreases in size.