Transformation

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Submitted By wanafi
Words 582
Pages 3
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x y Diagram 1.1
.
.
P
Q

| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 1. (a) Diagram 1.1 shows points P and Q drawn on a Cartesian plane.
Transformation T is the translation .
Transformation R is a clockwise rotation of about the centre Q.

State the coordinates of the image of point P under each of the following transformations: (i) T2 (ii) TR [4 marks]

(b) Diagram 1.2 shows two hexagons, EFGHJK and PQREST drawn on square grids.

| | | | | | | | | | | P
Q
R
S
T
E
F
G
H
J
K
Diagram 1.2 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (i) PQREST is the image of EFGHJK under the combined transformation WV. Describe in full, the transformation: (a) V (b) W

(ii) It is given that EFGHJK represents a region of area 36 cm2 .
Calculate the area, in cm2, of the region represented by the shaded region. [8 marks]
1 (a) (i) (3,5) (1,8) (ii) (0.1) (
(b)(i) (a) Reflection in the line QJ. (b) Enlargement with scale factor 3, centre P.
(ii) Area of PQREST = =324 Area of the shaded region = 324-36=288 cm2

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