Everything Maths Grade 11

16.6 CHAPTER 16. GEOMETRY

(c) What are the co-ordinates of the vertices of S�T�U�V�?

2.�ABC is an enlargement of�A�B�C�by a constant factor of k through the origin.

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C

A

A� B

B�

C�

(a) What are the co-ordinates of the vertices of�ABC and�A�B�C�?

(b) Giving reasons, calculate the value of k.

(c) If the area of�ABC is m times the area of�A�B�C�, what is m?

3. Examine the polygonbelow.

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M

N

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(a) What are the co-ordinates of the vertices ofpolygon MNP Q?

(b) Enlarge the polygonthrough the origin by using a constant factor of c = 3,

obtaining polygon M�N�P�Q�. Draw this on the sameset of axes.