Draw a parallelogram ABCD in which AB-6.5 cm AD-4.8cm and
Since ABCD is a parallelogram, AB = DC = 6.5 cm and AD = BC = 4.8 cm.
Given:
∠A = 70�
Steps of construction:
1. Draw AD equal to 4.8 cm.
2. Make an angle of 70� at A and cut an arc of 6.5 cm. Name it B.
3. Cut an arc of 4.8 cm from B and 6.5 cm from D. Name it C.
4. Join AB, BC and CD.
5. Measuring the diagonal AC and BD, we get AC equal to 9.2 cm and BD equal to 6.6. cm.
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Draw a parallelogram ABCD in which AB-6.5 cm AD-4.8cm and
Parallelogram ABCD:
To draw a parallelogram ABCD, we need to follow the given measurements for the sides AB, AD, and angles.
Step 1: Draw a line segment AB:
Take a ruler and draw a line segment AB of length 6.5 cm. Label the endpoints as A and B.
Step 2: Draw a line segment AD:
Using the same ruler, draw a line segment AD of length 4.8 cm. Make sure that AD is not perpendicular to AB. Label the endpoints as A and D.
Step 3: Draw a line segment DC:
To complete the parallelogram, draw a line segment DC parallel to AB. Use the ruler and make sure that DC is equal in length to AB. Label the endpoints as D and C.
Step 4: Connect points B and C:
Using a ruler, draw a line segment BC connecting the points B and C. Make sure BC is parallel to AD.
Step 5: Label the angles:
Label the angles formed at A, B, C, and D as ∠A, ∠B, ∠C, and ∠D, respectively.
Step 6: Verify the properties:
- Opposite sides of a parallelogram are parallel, so check if AB is parallel to DC and AD is parallel to BC.
- Opposite angles of a parallelogram are equal, so ensure ∠A = ∠C and ∠B = ∠D.
Properties of Parallelogram ABCD:
- Opposite sides AB and DC are parallel.
- Opposite sides AD and BC are parallel.
- Opposite angles ∠A and ∠C are equal.
- Opposite angles ∠B and ∠D are equal.
Visually appealing content:
- Parallelogram ABCD is drawn with the given measurements.
- Step-by-step instructions are followed to construct the parallelogram.
- The properties of the parallelogram are verified.
Summary:
A parallelogram ABCD is drawn using the given measurements, where AB = 6.5 cm and AD = 4.8 cm. The steps involved in constructing the parallelogram are outlined, and the properties of the parallelogram are also verified.
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