Grade 9 Transformations Common Test September 28th 2011
Name: Set: Marks: 40
Instructions: Answer all questions, you are advised to draw shapes in pencil.
Question 1
Draw the following transformations on the axes below. Label each transformation carefully.1.1 Reflect ABCD in the x-axis. (2)1.2 Translate ABCD 2 units down and 3 units to the right. (2)1.3 Reflect ABCD in the line x = 1 (2)
Referring to the diagram above
1.4 Give the equation of the line of symmetry in the shape ABCD.(1)
[7]
Question 2
2.1 Plot the point P (-5; 4) on the grid drawn above. (1)2.2 Plot point Q, the image of P under the transformation: (2)2.3 Give the name of the kind of transformation that maps P onto Q. (1)
2.4 Plot point R, the image of P after a reflection in the y-axis. (1)2.5 Plot point S, the image of P after the transformation (2)2.6 Fully describe the transformation in 2.5 in words. (2)
2.7 Give the co-ordinates of T, the reflection of P in the line y = x (2)
[11]
Question 3
Referring to the diagram below, answer the following questions:Describe in words the transformation or transformations that have taken place to 3.1 Transform A to B (2)
3.2 Transform A to C(2)
3.3 Transform A to D
(2)3.4 Transform A to E
(2)
Draw shapes and on the grid resulting from the following transformations:3.5 , which is the reflection of D in the y-axis, followed by , the reflection of
in the x-axis
(2)
[10]
Question 4
Complete the transformation of the point (a;b) under the described transformations:4.1 A reflection in the line x = 0
) (2)4.2. A rotation, clockwise about the origin, of
) (2)Now describe in words how the answer in 4.2 compares to a rotation anti-clockwise of . (1)
4.3 A rotation, anti-clockwise about the origin, of ) (2)
[7]Question 5
Logo 1 Logo 2The Bishops logos above have made use of transformations in their designs. Clearly identify (on the diagram or using words) the part of the logo that demonstrates:
5.1 A reflection contained in each of the logos(2)
5.2 A translation in one of the logos.(1)
5.3 Circle the letter(s) in the word Bishops, in logo 1, which have both a vertical and horizontal line of symmetry.
(1)[4]
