Sage-Tips

Can you construct a parallelogram when its one side and two diagonals are given?

Construct a parallelogram when one side and two diagonals are given. Construct line segment AB of length 7 cm. From point A, mark an arc taking 5 cm as radius. From point B, mark an arc taking 4 cm as radius.

How do you construct a parallelogram when two diagonals and angle is given?

Explanation:

1. Draw AC = 5.4 cm.
2. Construct the perpendicular bisector of AC, i.e., Bisect AC at O.
3. Draw ∠COX = 70° and produce XO to Y.
4. With O as the center cut an arc OB = 3.1 cm (since 1/2 of the diagonal BD = 1/2 × 6.2 =1.3) and OD = 1/2 × 6.2 =3.1 cm as shown.
5. Join AB, BC, CD, and DA.

How do you construct a parallelogram with two sides?

Construct a parallelogram when one side and two diagonals are given

1. Construct line segment AB of length 7 cm.
2. From point A, mark an arc taking 5 cm as radius.
3. From point B, mark an arc taking 4 cm as radius.
4. Extend AO and BO.
5. Similarly mark an arc on extended ray BO of radius 4 cm.
6. Join AD, DC and BC.

How do you draw a parallelogram of sides 5cm 6cm and one diagonal 8 cm?

1) First draw a ray. Then cut 8cm from it as AB. AB will be the diagonal of the parallelogram. 2 ) Now cut 5 cm and 6 cm respectively opposite side of the diagonal to formed the parallelogram.

How do you construct a parallelogram given two sides?

How do you make a parallelogram into a parallelogram?

Draw a straight line on one side of the first line and tangent to both arcs. You now have two parallel lines which will form two sides of the parallelogram. Draw another straight line through both parallel lines. This will be the third side of the parallelogram.

How do you construct a parallelogram with an angle?

Construct Parallelogram, Square and Rectangle 1 Make a copy of the given angle. 2 Make a copy of the lengths for each side. 3 Use the compass to mark the fourth vertex.

How to construct a parallelogram ABCD with sides AB and ad?

Construct a parallelogram ABCD with sides AB = 4 cm and AD = 5 cm and angle A = 60˚. Step 1: Construct a line segment AB = 4 cm. Construct a 60˚ angle at point A. Step 2: Construct a line segment AD = 5 cm on the other arm of the angle. Then, place the sharp point of the compasses at B and make an arc 5 cm above B.

How many types of parallelograms are possible?

An infinite number of parallelograms are possible. Example: Construct a parallelogram ABCD given the diagonals AC and BD. Step 1: Bisect AC and BD. Step 2: Draw a circle with the radius equals to 1/2 of AC. Step 3: Draw a concentric circle with the radius equals to 1/2 of BD.

How do you find the diagonals of two perpendicular segments?

Step 1: Construct two perpendicular segments. Step 2: Mark off congruent sides. Step 3: Check for 4 right right angles. Step 4: Check that the diagonals are equal in lengths. Try the free Mathway calculator and problem solver below to practice various math topics.