Sign In

Mathematics for IGCSE & O level - Transformations (Section 4)

1
What transformation can be performed using a vector?
Answer
(C)
Translation
2
In transformations, what are the two key elements for an enlargement?
Answer
A
B
3
Which transformation changes the position of a shape?
Answer
(C)
Translation
4
A point at (2, -4) undergoes a reflection in the x-axis. What are the new coordinates?
Answer
(B)
(2, 4)
5
If a shape has been reflected across the x-axis, which coordinate changes?
Answer
(B)
y-coordinate
6
If a shape is enlarged by a scale factor of 3, what will happen?
Answer
(C)
The shape triples in size.
7
Which of the following statement is true about enlargement?
Answer
A
B
D
8
A point at (3, -2) is rotated 90 degrees counterclockwise about the origin. What are its new coordinates?
Answer
(B)
(-2, -3)
9
Which property is not necessarily preserved in an enlargement?
Answer
(D)
The area.
10
If an object is reflected across the line x = -3, and one vertex is at (1, 4), what are the new coordinates?
Answer
(A)
(-7, 4)
11
What is the effect of a reflection across the x-axis on a point (x, y)?
Answer
(A)
(x, -y)
12
Which of the following is NOT a type of transformation?
Answer
(D)
Perpendicular
13
If a point (x, y) is reflected in the line y = -x, what are the new coordinates?
Answer
(C)
(-y, x)
14
If a point's coordinates are (4, -1) and it undergoes a reflection over the line y = 1, what are the new coordinates?
Answer
(B)
(4, 3)
15
If a point is reflected over the line y=x, what is the rule?
Answer
(C)
(x,y) -> (y, x)
16
A transformation can involve a combination of...
Answer
A
B
C
D
17
What is a key feature that is maintained in the image after a rotation?
Answer
(D)
All of the above
18
What is the relationship between the object and image in a reflection?
Answer
(C)
They are the same size and an opposite orientation.
19
What are the two essential components needed for an enlargement?
Answer
A
B
20
What is the definition of a transformation that involves a combination of transformations?
Answer
(B)
A transformation that combines two or more different transformations in sequence.
21
What can we say about the lengths of sides after a translation?
Answer
(A)
They are the same.
22
Which transformation changes both size and orientation?
Answer
(B)
Rotation
23
Which transformation requires a mirror line?
Answer
(A)
Reflection
24
A point at (1, 4) is reflected across the line x = 3. What are the coordinates of the image?
Answer
(A)
(5, 4)
25
Which transformations can alter the orientation of a shape?
Answer
B
C
26
Which transformation involves a change in size?
Answer
(D)
Enlargement
27
A shape is reflected in the line y = x. What is the general rule for this transformation?
Answer
(A)
(x, y) → (y, x)
28
Which transformations are described as being in the 'same direction'?
Answer
A
C
29
What type of transformation is represented by the vector $\begin{pmatrix} -1 \ 3 \end{pmatrix}$?
Answer
(C)
Translation
30
How can you determine the center of enlargement?
Answer
(B)
By extending the lines until they cross.
31
If a transformation is followed by another transformation, the result is equivalent to?
Answer
(B)
A third transformation
32
What is the line of symmetry in a reflection?
Answer
(D)
The mirror line.
33
What happens when a shape is reflected over the x-axis?
Answer
(B)
The y-coordinate changes, and the x-coordinate remains the same.
34
What can you say about a transformation, if the object and the image are congruent?
Answer
(D)
It is an isometry.
35
Which of the following pairs of transformations can be combined to result in a different single transformation?
Answer
(B)
Enlargement and Translation
36
In a reflection, how does the image relate to the mirror line?
Answer
(A)
The image is the same distance from the mirror line, but on the opposite side.
37
What is the purpose of a scale factor in an enlargement?
Answer
(C)
To change the size of the object
38
If a point is located at (-2, 3), and it's reflected across the y-axis, what are its new coordinates?
Answer
(A)
(2, 3)
39
In the context of transformations, what is the 'object'?
Answer
(B)
The original shape before a transformation
40
What can you say about corresponding sides after an enlargement?
Answer
(C)
They are proportional.
41
Which of these transformations preserve both shape and size?
Answer
A
B
C
42
When the scale factor is 0.5, what is the image size compared to the original object?
Answer
(B)
Half the size
43
What is the effect of a reflection over the x-axis?
Answer
(B)
The y-coordinate changes sign.
44
What happens to the image in an enlargement with a scale factor between 0 and 1?
Answer
(B)
The image is smaller than the original object.
45
In which transformations, does the shape of the figure remain unchanged?
Answer
A
C
D
46
Which transformation changes both the position and the orientation of the object?
Answer
(B)
Reflection
47
What does a negative scale factor do to an image?
Answer
(B)
The image is flipped over.
48
Which of the following is preserved in an enlargement?
Answer
(B)
Shape
49
What would be the scale factor if the image is reduced to half its size?
Answer
(A)
0.5
50
A figure has vertices A(1,1), B(2,1), and C(2,2). After a translation of (2, 3), what will be the coordinates of A'?
Answer
(A)
(3, 4)