Transformation Geometry (Grade 9) — Worksheet & Memo

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Grade 9 · Transformation Geometry

Transformation Geometry (Grade 9)

MEMORANDUM

Name:

Class:

Date:

Mark

/ 20

Answer all questions. Show all your working — marks are awarded for method as well as the final answer. Teacher copy: accept any correct equivalent method.

1
Reflect (3 ; 5) in the x-axis.
(1)
(3 ; −5)✓ (1)
2
Reflect (−2 ; 7) in the y-axis.
(1)
(2 ; 7)✓ (1)
3
Reflect (4 ; 1) in the line y = x.
(1)
(1 ; 4)✓ (1)
4
Rotate (3 ; −6) by 180° about the origin.
(1)
(−3 ; 6)✓ (1)
5
Rotate (4 ; 1) by 90° CLOCKWISE about the origin.
(2)
Swap, then make the second coordinate negative: (x ; y) → (y ; −x) (1)
(1 ; −4) (1)✓✓ (2)
6
Rotate (−2 ; 5) by 90° ANTICLOCKWISE about the origin.
(2)
(x ; y) → (−y ; x) (1)
(−5 ; −2) (1)✓✓ (2)
7
Rotate (3 ; −1) by 270° clockwise about the origin.
(2)
270° clockwise is the same as 90° anticlockwise (1)
(x ; y) → (−y ; x), so the image is (1 ; 3) (1)✓✓ (2)
8
Translate (5 ; 3) by 2 left and 4 up.
(2)
(3 ; 7)✓✓ (2)
9
A point is reflected in the x-axis; its image is (6 ; −2). Find the original.
(2)
(6 ; 2)✓✓ (2)
10
Enlarge (3 ; −4) by scale factor 3 from the origin.
(1)
(9 ; −12)✓ (1)
11
A rectangle 4 cm × 3 cm is enlarged by factor 3. Find the new area.
(3)
12 × 3² = 108 cm²✓✓✓ (3)
12
Which transformations leave the figure congruent?
(2)
Reflection, translation and rotation (enlargement changes size).✓✓ (2)

TOTAL: 20 marks