![]() If the bisectors of A and B meet at P, prove that AD DP, PC BC and DC 2AD. In the questions like the one given here always take care of the directions of the vectors given in the questions as you can usually make mistakes if you don’t keep the account of the direction and the answer will not be correct that you will find that way. P and Q are points on DC and AB respectively, such that DAP BCQ. In the given figure, ABCD is a parallelogram in which A 60°. Analyze the image of a parallelogram: Hence, in the picture above, AB DC. Hence, we can say that in the given parallelogram ABCD, 2DC – DB = AC. A Parallelogram has many important properties: A parallelogram is a four-sided polygon. In a Parallelogram Abcd, Ab 10 Cm, Ad 6 Cm. CBSE Secondary School (English Medium) (5 to 8) Class 8. the Bisector of A Meets Dc in E, Aeand Bc Produced Meet at F. =2AC + (-AC) from equation 2 which says that DC = AC + DA In a Parallelogram Abcd, Ab 10 Cm, Ad 6 Cm. =2AC + DA – CD (as we know opposite sides of parallelogram are equal so AB = CD) So that angle must be equal to that angle there. And since we know that they're parallel- this is a parallelogram- we know the alternate interior angles must be congruent. And if we focus on DB right over here, we see that it intersects DC and AB. So you can also view them as transversals. =2(AC + DA) – (DA + AB) from equation 1 and equation 2 These are lines that are intersecting, parallel lines. So, we can say that, DC = AC + DA which will form equation 2 ![]() DA + DC = AC (here we have used -DA instead of DA because of the opposite direction of vector that is the negative direction of the vector) So, if we use the triangle law of vector addition here, we can clearly say that, Bilan de ce qu’il faut retenir sur les parallélogrammes : Définition : Un parallélogramme est un quadrilatère dont les côtés opposés sont parallèles. Now, we will use the triangle law of vector addition which says that when two vectors are represented as the two sides of the triangle with the order of magnitude and direction, then the third side of the triangle represents the magnitude and the direction of the resultant vector. we can say that,ĪB = DC (opposite sides of parallelogram)ĪD = BC (opposite sides of parallelogram) Then the area of parallelogram ABCD is c m 2. In the parallelogram given above according to the property of parallelogram that is the opposite sides of parallelogram are equal. In the given figure, ABCD is a parallelogram in which AB CD 5 cm and BD DC such that BD 6.8 cm.
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