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Mathematics for IGCSE & O level - Transformations (Section 5)

1
Which of the following actions always preserves the size of a figure?
Answer
B
C
D
2
Which of these transformations create a congruent figure?
Answer
A
B
D
3
A figure is transformed. It's shape has stayed the same, but its position has changed. What type of transformation has occurred?
Answer
(D)
Translation
4
What do you need to describe an enlargement?
Answer
(B)
Scale factor and Center of enlargement.
5
What transformation is represented by the following vector? $\begin{pmatrix} 2 \ 3 \end{pmatrix}$
Answer
(C)
Translation
6
What is the center of enlargement when the scale factor is applied?
Answer
(A)
The fixed point around which the object is enlarged.
7
If a shape is reflected across the y-axis, how do the coordinates of a point on the shape change?
Answer
(A)
The x-coordinate changes sign, the y-coordinate stays the same.
8
In a reflection, how does the shape change?
Answer
(B)
The orientation changes.
9
If the scale factor for an enlargement is 3, what will happen to the area of the image compared to the original?
Answer
(C)
The area will be multiplied by 9.
10
What is the main difference between an enlargement and a translation?
Answer
(A)
Enlargement changes the size, translation does not.
11
When translating a shape, what factor is applied to each of the coordinates?
Answer
(C)
The translation vector components.
12
What is the impact of a scale factor of 0.75 on an object during an enlargement?
Answer
(B)
The object becomes smaller.
13
What do we call the transformation that does not change the size of an image?
Answer
(A)
Rotation
14
What is the effect of a scale factor greater than 1 in an enlargement?
Answer
(C)
The image becomes larger.
15
What type of transformation changes the orientation of a shape?
Answer
(C)
Rotation
16
Which transformations result in congruent shapes?
Answer
A
C
D
17
Which components define a transformation?
Answer
A
C
D
18
Which of the following transformations do NOT preserve distance?
Answer
(C)
Enlargement
19
What information do we need to fully describe an enlargement?
Answer
A
B
20
What happens to the image when you reflect a shape over the x-axis?
Answer
(C)
The image is flipped vertically.
21
Which type of transformation will change the size but not the shape?
Answer
(B)
Enlargement
22
Describe what happens to a shape with a scale factor of 1/2
Answer
(B)
Reduced to half the size
23
What describes the transformation of turning a shape around a fixed point?
Answer
(B)
Rotation
24
What key concept should you remember about the scale factor?
Answer
(D)
That the final scale factor is the product of the individual scale factors.
25
For which transformation is the 'center' always a fixed point?
Answer
A
D
26
What is the term given to a transformation that slides a shape?
Answer
(C)
Translation
27
Which type of transformation does not change the size of the shape?
Answer
A
C
D
28
Which of the following statements about a reflection is FALSE?
Answer
(D)
The image and object are always in the same orientation.
29
What is a key property of an isometry?
Answer
(B)
It preserves the shape and size of the figure.
30
In the case of a single transformation, what is the minimum amount of information required to completely describe it?
Answer
(D)
All of the above.
31
What type of transformation maintains orientation?
Answer
(B)
Rotation of 180 degrees
32
What is the value of the scale factor for a reduction?
Answer
(C)
Between 0 and 1
33
What is an isometry?
Answer
(B)
A transformation that preserves distance and angles.
34
Which transformation involves a 'center'?
Answer
B
D
35
Which of the following is an example of an enlargement?
Answer
(A)
Changing the size of a shape.
36
What is a synonym for enlargement?
Answer
(C)
Dilation
37
What must you know to perform an enlargement?
Answer
A
B
38
Which of the following is NOT preserved under a dilation (enlargement or reduction)?
Answer
(D)
Side Lengths
39
If the scale factor is negative, the image is:
Answer
A
C
40
What components are needed to describe a reflection?
Answer
(A)
The type of transformation, the mirror line, and the original object.
41
When performing transformations, which properties are preserved under reflection, rotation, and translation?
Answer
A
B
C
D
42
If a triangle's vertices are (1, 2), (3, 4), and (5, 2) and are translated by (-2, 3). What is the new location of the vertex (3,4)?
Answer
(A)
(1, 7)
43
What happens to the area of a shape when it is enlarged by a scale factor of 2?
Answer
(C)
It quadruples
44
What transformation is used when a shape is flipped over a line?
Answer
(C)
Reflection
45
What is the impact of a scale factor greater than 1 in an enlargement?
Answer
(C)
Enlarges the object.
46
Which transformations preserve the shape and size of an object?
Answer
A
C
D
47
What will be the type of the single transformation to map two transformed shapes?
Answer
(D)
Combination of transformations
48
If a figure is rotated 90 degrees counterclockwise about the origin, what happens to the point (x, y)?
Answer
(B)
(x, y) becomes (-y, x)
49
Which of the following transformations is NOT an isometry (distance-preserving transformation)?
Answer
(D)
Enlargement
50
What is the term for a transformation that changes the size of a shape?
Answer
(D)
Enlargement