What is the relation between adjacent sides of a parallelogram?

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What is the relation between adjacent sides of a parallelogram?

Adjacent sides of a parallelogram are equal and one of diagonals is equal to any one of the sides of this parallelogram.

Can we construct a parallelogram if two adjacent sides are given?

Step 1: Take a sheet of white paper. Draw any two intersecting lines AB and BC which we have to use as two adjacent sides of a parallelogram (see Figure 14.1). Then, the line X2Y2 is parallel to the line BC. Step 4: Produce the line AB to a point M.

Is the adjacent angle of a parallelogram are equal then the parallelogram is A?

Answer: Therefore, if the adjacent angles in a parallelogram are equal, then it is a rectangle.

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What are adjacent angles of a parallelogram?

Hint: The adjacent angles in a parallelogram are two angles on the same arm (side) of the parallelogram. If the sum of these two angles is ${90^ \circ }$ then these are called complementary angles but if their sum is ${180^ \circ }$ then these angles are called supplementary angles.

Can you construct a parallelogram if the measures of only two adjacent sides and the included angle is given *?

(If the two adjacent sides are equal there is only one—a square.) One parallelogram would be the reflection of the other. The reason only two parallelograms can be constructed is that the short side must extend from its vertex with the long side to meet the end point of the other long side.

Is it possible to construct a unique parallelogram of side 7.4 cm and 8.2 cm?

A parallelogram of sides 7.4cm and 8.2cm. parallelogram of given dimension. Parallelogram is a closed polygon having 4 sides and whose opposite sides and angles are same in magnitude and magnitude of unequal sides are given. Therefore, parallelogram of given dimensions can easily be drawn having vertices A,B,C and D.

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What is the area of parallelogram in vector form?

The formula to find area using vector adjacent sides is given as, | →a a → × →b b → |, where →a a → and →b b → are adjacent side vectors. Also, the area of parallelogram formula using diagonals in vector form is, area = 1/2 |(→d1 d 1 → × →d2 d 2 → )|, where →d1 d 1 → and →d2 d 2 → are diagonal vectors.

How to find the area of a parallelogram with two adjacent sides?

Find the area of the parallelogram whose two adjacent sides are determined by the vectors i vector + 2j vector + 3k vector and 3i vector − 2j vector + k vector. b vector = 3i vector − 2j vector + k vector.

Are two parallelograms on the same base equal?

Theorem: Parallelograms on the same base and between the same parallel sides are equal in area. Proof: Two parallelograms ABCD and ABEF, on the same base DC and between the same parallel line AB and FC. To prove that area (ABCD) = area (ABEF).

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How to find the resultant vector of a parallelogram oabd?

Let P and Q be two vectors acting simultaneously at a point and represented both in magnitude and direction by two adjacent sides OA and OD of a parallelogram OABD as shown in figure. Let θ be the angle between P and Q and R be the resultant vector.

What is the law of parallelogram?

Statement of Parallelogram Law If two vectors acting simultaneously at a point can be represented both in magnitude and direction by the adjacent sides of a parallelogram drawn from a point, then the resultant vector is represented both in magnitude and direction by the diagonal of the parallelogram passing through that point.