Q9 of 18 Page 192

Draw a quadrilateral of any measurements. Construct a dilation of scale factor 3. Measure their corresponding sides and verify whether they are similar.

Given, Dilation of scale factor = 3

Let’s draw a square with each side = 3 cm



Now on dilating the square using scale factor = 3, then


Each side of the square becomes = cm



We know that two figures are similar if their angles are same.


In the two squares drawn above we know that each angle = 90


Hence, both the figures are similar.


More from this chapter

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7

7 pillars are used to hold a slant iron ladder as shown in the figure. If the distance between every two pillars is 1 m and height of the last piller is 10.5 m. Find the height of pillar.

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Standing at 5 m apart from a vertical pole of height 3 m, Sudha observed a building at the back of the pillar that tip of the pillar is in line with the top of the building. If the distance between pillar and building is 10 m, estimate the height of the building. [Here height of Sudha is neglected]

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Cut the bold type English alphabets (capital) and paste in your note book. Draw possible number of lines of symmetry for each of the letter.

(i) How many letters have no linear symmetry?


(ii) How many letters have one line of symmetry?


(iii) How many letters have two lines of symmetry?


(iv) How many letters have more than two lines of symmetry?


(v) Which of them have rotational symmetry?


(vi) Which of them have point symmetry?

 2

Draw lines of symmetry for the following figures. Identify which of them have point symmetry. Is there any implication between lines of symmetry and point symmetry?