Prove that the tangents drawn at the ends of a diameter of a circle are parallel.
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Fertilization can be defined as the union of two haploid gametes, the spermatozoa and the oocyte, hereto referred to as egg, to restore the diploid state, form a zygote through the process of egg activation
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Step-by-step explanation:
First, draw a circle and connect two points A and B such that AB becomes the diameter of the circle. Now, draw two tangents PQ and RS at points A and B respectively.
- Now, both radii i.e. AO and OB are perpendicular to the tangents.
- So, OB is perpendicular to RS and OA perpendicular to PQ
- So, ∠OAP = ∠OAQ = ∠OBR = ∠OBS = 90°
- From the above figure, angles OBR and OAQ are alternate interior angles.
- Also, ∠OBR = ∠OAQ and ∠OBS = ∠OAP (Since they are also alternate interior angles)
So, it can be said that line PQ and the line RS will be parallel to each other.
Hence Proved
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