Rotation
Rotation is a circular movement that has a central point that stays fixed and everything else moves around that point in a circle. A full rotation is 360°. This notes content the information about rotation and rotation using coordinates.
Summary
Rotation is a circular movement that has a central point that stays fixed and everything else moves around that point in a circle. A full rotation is 360°. This notes content the information about rotation and rotation using coordinates.
Things to Remember
- Rotation through 90° in an anti-clockwise direction about the centre at the origin (Positive Quater Turn) = P(x, y) → P'(−y, x)
- Rotation through 90o in a clockwise direction about the centre at the origin (Negative Quarter Turn) = P(x, y) → P'(y, −x)
- Rotation through 180° about the centre at the origin (Half Turn) = P(x, y) → P'(−x, −y)
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Subjective Questions
Q1:
Describe about vulval disorder ?
Type: Short Difficulty: Easy
<ul>
<li>Vulvar atrophy</li>
<li>Benign tumors</li>
<li>Hamartomas and cysts</li>
<li>Infectious disorders and</li>
<li>Honneoplastic epithelial disorders</li>
</ul>
<h4>Benign tumors</h4>
<p>The benign tumours of the vulva include:</p>
<ul>
<li>Bartholin’s cyst/abscess which is the most common.</li>
<li>Granuloma lesions which arise as a reaction to germs due to condylomata late in third stage tissue reaction, tuberculosis, schistosomiasis and/or condylomata acuminate due to viral warts.</li>
<li>Very rarely carcinoma may arise in bartholin’s gland.</li>
</ul>
Q2:
List the sign and symptoms of benign tumor and its treatment ?
Type: Short Difficulty: Easy
<p>1.Ulcer or swlling, soreness or irritations are early signs.</p>
<p>2.Slight bleeding may occur</p>
<p>3.Later, there is a purulent discharge, which becomes very offensive</p>
<p>4.Enlarged inguinal glands may break down and ulcerate and occasionally severe haemorrhage may occur from erosion of femoral vessels</p>
<p>.</p>
<p><strong>Treatment</strong></p>
<ul>
<li>For cancer of the vulva, treatment will include examination under anaesthesia after which a biopsy is taken and staging done.</li>
<li>Surgery may involve the radical excision of the vulva and of the inguinal and femoral glands on both sides, especially if it is undertaken in the late stage.</li>
<li>Alternately, an excision and biopsy may be done.</li>
<li>Radiotherapy is performed on tumors at the fourchette because of involvement of the anal canal.</li>
</ul>
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Rotation
Rotation
Rotation is a circular movement that has a central point that stays fixed and everything else moves around that point in a circle. A full rotation is 360°. The fixed point about which an object is rotated is called the centre of rotation and the angle through which every point of the object is rotated is called the angle of rotation.
The angle of rotation is positive is the rotation is made in an anti-clockwise direction and it is negative if the rotation is made in a clockwise direction.
Rotation using Co-ordinates
- Rotation through 90° in an anti-clockwise direction about the centre at the origin(Positive Quater Turn): When we rotate the point along the 90°, the x-coordinate and y-coordinate changes the place and the signs are changed.
We write this as,
P(x, y) → P'(−y, x) - Rotation through 90° in a clockwise direction about the centre at the origin (Negative Quarter Turn): When we rotate the point along the 90° the y-axis, then y-coordinates remain the same, but x-coordinator are transformed into its opposite.
We can write it as,
P(x, y) → P'(y,−x) - Rotation through 180° about the centre at the origin (Half Turn): If the image is obtained by the rotation through 180° in an anti-clockwise direction about the centre at the origin is same or the image obtained by the rotation through 180° in clockwise direction.
We can write it as,
P(x, y) → P'(−x,−y)
Lesson
Transformation
Subject
Optional Maths
Grade
Grade 8
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