Question 13 Marks
Try to recreate ‘A Person’, ‘Wavy Wave’, and ‘Eyes’ from the section Artwork, using ideas involved in the ‘House’ construction.
Answer
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Question 23 Marks
Construct a rectangle one of whose sides is 3 cm and the diagonal is of length 7 cm.
Answer
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Question 33 Marks
Try to recreate the figure where the waves are smaller than a half circle (as appears in the neck of the figure ‘A Person’). The challenge here is to get both the waves to be identical.
Answer
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Question 43 Marks
Consider the following figure of a “Wave”.
As the length of the central line is not specified, we can take it to be of any length. Let us take AB to the central line such that the length of AB is 8 cm. Here the first wave is drawn as a half circle.
What radius should be taken in the compass to get this half-circle? What should be the length of AX?
As the length of the central line is not specified, we can take it to be of any length. Let us take AB to the central line such that the length of AB is 8 cm. Here the first wave is drawn as a half circle.
What radius should be taken in the compass to get this half-circle? What should be the length of AX?
Answer
View full question & answer→We have AB = 8 cm.
Since the “Wavy Wave” has two equal half circles, we have AX = XB.
∴ X is the mid-point of AB.
$\therefore A X=\frac{8}{2}=4 cm$
∴ The length of AX is 4 cm.
Let M be the mid-point of AX.
$\therefore AM = MX =\frac{8}{2}=2 cm$
The center of the half circle is M.
∴ Radius of half circle = AM = 2 cm
∴ The radius of the half circle is 2 cm.
Since the “Wavy Wave” has two equal half circles, we have AX = XB.
∴ X is the mid-point of AB.
$\therefore A X=\frac{8}{2}=4 cm$
∴ The length of AX is 4 cm.
Let M be the mid-point of AX.
$\therefore AM = MX =\frac{8}{2}=2 cm$
The center of the half circle is M.
∴ Radius of half circle = AM = 2 cm
∴ The radius of the half circle is 2 cm.