Review+of+Similarity


 * __Review of Similarity __** Open this file with the notes for today's lesson and then save the file to your laptop.

Watch this tutorial from MathsOnline for more information on similar figures. Similar Figures I Now attempt the questions below. 1. Which of the figures cannot be similar to the other two? Give a reason for each answer.  2. Select the rectangle that is similar to rectangle A. Repeat for rectangles B, C, D and E.  3. Select the figure that is similar to figure A by checking that matching angles are equal and that matching sides are in the same ratio. Repeat for figures B, C, D and E.  4. The two rectangles below are similar.  a) Are the matching angles equal?  b) What is the ratio of the lengths? c) What is the ratio of the widths?  <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Now watch this tutorial from MathsOnline for more information on similar figures.  <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Similar Figures II  <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;"> Here are some extension questions for fast finishers. <span style="color: #000080; display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: left;">5. a) A square with sides of 6cm is enlarged using an enlargement factor of 2.4What will be the length of the sides of the enlarged square? b) A rectangle is 24cm long by 16cm wide. A rectangle similar to this rectangle is produced by reducing it using a reduction factor of three-quarters. What are the dimensions of the reduced rectangle? c) The pentagon shown is to be enlarged using an enlargement factor of 1.8  <span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;"> <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 150%;">What will be the lengths of the sides of the enlarged pentagon? <span style="color: #008000; font-family: 'Comic Sans MS',cursive; font-size: 150%;">6. a) A photograph is 8cm long and 4cm wide. If the photograph is to be enlarged so that its length is 16cm, what will the width be? b) A photograph is enlarged. If the length is tripled, what happens to its width? c) When a photograph is enlarged, is it possible to increase its length without increasing its width? d) Could rectangle A be enlarged to give rectangle B?  <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: left;"> <span style="color: #000080; font-family: 'Comic Sans MS',cursive; font-size: 150%;">7. Each pair of figures shown is similar. Calculate the enlargement or reduction factor and use it to find the value of the pronumerals. <span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">