transformations worksheet pack (part 2) · 1 | p a g e t r a n s f o r m a t i o n s w o r k s h e...
TRANSCRIPT
1 | P a g e T r a n s f o r m a t i o n s W o r k s h e e t P a c k - P a r t 2
Transformations – Worksheet Pack (Part 2)
Worksheet 1 - Rotations
1. a) Rotate triangle A by 90°
anticlockwise about O. Label
the image B.
b) Rotate triangle A by 180°
about point P. Label the
image C.
c) Describe the transformation
that maps triangle B to
triangle C.
2. Describe the transformation that
maps:
a) trapezium A onto the red
trapezium.
b) the red trapezium onto
trapezium A.
c) trapezium A onto the green
trapezium.
d) the green trapezium onto the
yellow trapezium.
e) the yellow trapezium onto the
red trapezium.
2 | P a g e T r a n s f o r m a t i o n s W o r k s h e e t P a c k - P a r t 2
3. a) Rotate triangle X by 90° clockwise
about the point (2, 4). Label the
image Y.
b) Rotate triangle X by 90°
anticlockwise about (2, 2). Label
the image Z.
c) Describe the transformation that
maps triangle Y onto triangle Z.
4. Rotate shape A by 90° clockwise about the
point (2, 1). Label the image B.
5. Show the image of these rotations of the
shaded shape :
a) A rotation of 180, centre (0, 1).
Label it A.
b) A rotation of 90 anticlockwise,
centre (0, 0). Label it B.
c) A rotation of 90 clockwise, centre (0, 0). Label it C.
d) A rotation of 180, centre (-1, -1).
Label it D.
-7 -6 -5 -4 -3 -2 -1 O 1 2 3 4 5
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
7
3 | P a g e T r a n s f o r m a t i o n s W o r k s h e e t P a c k - P a r t 2
6. Describe the single transformation
that maps shape A onto shape B.
7. Describe fully the rotations needed
to map the shaded shape onto each of the lettered shapes.
8. XYZ is the image of PQR. Find the centre and angle of rotation.
8 R
6
4
X
2
P Q
-2 0 2 4 6 8
-2
Y Z
-4
4 | P a g e T r a n s f o r m a t i o n s W o r k s h e e t P a c k - P a r t 2
Worksheet 2 - Enlargements
1. Enlarge shape A by a scale factor of 2, centre of
enlargement (0, 2). Label the image B.
2. Enlarge shape A by a scale factor of 3 about
the point (7, 1). Label the image B.
3. Copy pentagon ABCDE on graph paper.
Enlarge the pentagon by a scale factor
of 2, centre of enlargement O. Label the
image FGHIJ.
5 | P a g e T r a n s f o r m a t i o n s W o r k s h e e t P a c k - P a r t 2
4. Enlarge the triangle ABC by a scale factor of 1
3 about the centre of enlargement
marked on the diagram. Label your image PQR.
5. In the two diagrams below, the smaller shape has been enlarged to obtain the
larger shape.
a) Mark the centre of enlargement on both diagrams with an X.
b) Find the scale factor.
c) Describe the transformations that map the smaller shape onto the larger shape.
6 | P a g e T r a n s f o r m a t i o n s W o r k s h e e t P a c k - P a r t 2
6. a) What is the scale factor of enlargement for shape ABCD and A΄B΄C΄D΄?
b) Describe the transformation.
7. a) What are the scale factors of enlargement for the shapes below?
b) Describe the transformation.
7 | P a g e T r a n s f o r m a t i o n s W o r k s h e e t P a c k - P a r t 2
8. Draw axes for x and y from -8 to 10.
Find the images of the triangle with vertices (5,1), (5,5) and (3,5), under the
following enlargements, with centre (1,1) and scale factor :
a) 2 b) 1
2 c) −1
1
2
8 | P a g e T r a n s f o r m a t i o n s W o r k s h e e t P a c k - P a r t 2
9. Give the coordinates of the centre of enlargement and find the scale factor that
give the following images of the shaded objects.
a) 8 b) 8
6 6
4 4
2 2
0 2 4 6 8 -4 -2 0 2 4 6 8 10
c) 6 d)
4
4
2
2
0 2 4 6 8 10 12
-2 0 2 4 6
-2 -2
e) f)
9 | P a g e T r a n s f o r m a t i o n s W o r k s h e e t P a c k - P a r t 2
10. a) Draw axes for x and y from −1 to 11.
Draw the image of ABC having
A(9,1), B(11,5) and C(7,7) under the given enlargement with centre
(−1,1) and scale factor 1
2.
b) On axes for x and y from −5 to 6,
draw the triangle ABC having A(−1,5), B(−4,5) and C(−4,3), and
its image under the enlargement with centre (−2,3) and scale factor −2.
10 | P a g e T r a n s f o r m a t i o n s W o r k s h e e t P a c k - P a r t
2
(−3
1)
(−2
6)
Worksheet 3 – Mixed Examples
1. a) Translate triangle X by . Label the image B.
b) Rotate triangle X by 90° clockwise about the point (0, 4). Label the image C.
c) Reflect triangle C in the y-axis. Label the image D.
2. a) Translate rectangle Y by the
vector . Label the image C.
b) Complete this statement:
The transformation which maps
shape Y onto shape Z is an
_______________________________
with a scale factor _________
about the point ____________.
11 | P a g e T r a n s f o r m a t i o n s W o r k s h e e t P a c k - P a r t
2
3. Describe the transformation
which maps:
a) shape A onto shape I
b) shape A onto shape E
c) shape J onto shape K
d) shape E onto shape G
e) Shape L onto shape C
4. a) Describe the transformation which maps triangle A onto triangle B.
b) Reflect triangle A in the line y = −x. Label the image X.
c) Enlarge triangle A by a scale factor of 2, centre of enlargement (−4, −4). Label
the image Y.
d) Rotate triangle B by 90°
clockwise about the point (3,
−5). Label the image Z.
L