Page 385 - Math Smart - 7

Try and Appiyi

Q The diagram below shows 8 congruent triangles. The triangles are numbered as 1, 2, 3, 4, 5, 6, 7 and 8.

H B
\
/ / \
\ / /
2 S / 1 8 1
\/ N/
b L
/\ \
\ \
3 4 5 6
/ \ \
>
/ \ \
F E I
a) Name the transformation that moves triangle 1 to fit exactly onto
i) triangle 4, ii) triangle 7 and iii) triangle 3.

b) Move triangle 1 to fit exactly onto triangle 5 in one transformation. If you are unable to do so,
describe how you would do it in two transformations. Hint: you can use a combination of different
transformations.
c) Describe how to move triangle 1 to fit exactly onto triangle 6 in two transformations, in two
different ways.
B
Q Play this game to try to get the white ball into the black hole!
You can only use translation, rotation and reflection to transform
the ball to the final position on the grid. B

Revision

Answer Questions 1 to 7 on graph paper. Start each question on a new piece of graph paper.
O Translate each polygon. Draw the images of the polygons after translation and label their vertices on
the coordinate grid. Then write the coordinates of the vertices of the images in the boxes below.

a) Translate 6 units to the left b) Translate 2 units up

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Q
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F
5 • 4 -3 -2 -1 U ;

?■(□_□) Q'(n.n) D'(n,n)