Mathematics for IGCSE & O level - Transformations (Section 7)
1
In an enlargement, the center of enlargement acts as a:
2
Which of the following is NOT a characteristic of translations?
Answer(D)
The image is similar but not congruent to the original object.
3
A shape is translated by the vector (2, -3). What does this mean?
Answer(B)
Each point on the shape moves 2 units right and 3 units down.
4
What transformation always produces an image congruent to the original figure?
5
What does it mean for a transformation to be 'rigid'?
Answer(B)
It preserves distance and angles.
6
What key pieces of information are needed to perform a rotation?
7
Which transformation only moves an object without changing its size or shape?
8
Which of the following are properties of the center of enlargement?
Answer(A)
It remains unchanged during enlargement.
9
Which concept is central when discussing enlargements?
10
In translation, the object and the image are:
11
Which transformation(s) create(s) a mirror image of an object?
12
In a translation, how are the corresponding points of the object and its image related?
Answer(C)
They are the same distance in the same direction.
13
If a shape is reflected in the y-axis, the x-coordinate of each point:
14
Which of the following transformations does NOT change the orientation?
15
A translation by the vector (a, b) moves the shape:
Answer(B)
a units right and b units up
16
Which transformations result in a figure and its image being similar but not necessarily congruent?
17
What is the effect of reflecting an object over the line y = x?
Answer(A)
The x and y coordinates swap.
18
Which of the following transformations change the orientation of a figure?
19
What can be used to check if the transformation is a reflection?
20
What is a common way to describe a translation?
Answer(B)
Using a vector indicating horizontal and vertical shifts.
21
Which of the following is true about a shape after a translation?
Answer(B)
The size and shape are preserved.
22
Which transformation can alter both the size and position of a figure?
23
Which of the following transformations is an example of an enlargement?
Answer(D)
Changing the size of a shape while maintaining its proportions
24
If a figure is rotated 90 degrees clockwise about the origin, what happens to a point (x,y)?
25
If a shape has been reflected, rotated, and then translated, what type of transformation has occurred?
Answer(B)
Combination of transformations
26
What kind of transformation is described when the original figure and the image are the same size and shape?
27
What is the effect of a negative scale factor in an enlargement?
Answer(C)
The image is inverted and on the opposite side of the center of enlargement from the object.
28
What happens to the slope of a line under a rotation?
29
Which transformations are classified as isometries?
