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Construct a quadrilateral ABCD in which AB=CD=10cm, AD=BC=12cm and angle A= 65°. What special name can you give to this quadrilateral? Draw the rough figure too.?
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Construct a quadrilateral ABCD in which AB=CD=10cm, AD=BC=12cm and ang...
Constructing Quadrilateral ABCD
To construct quadrilateral ABCD with the given dimensions, follow these steps:
1. Draw Side AB
- Start by drawing a line segment AB of 10 cm.
2. Construct Angle A
- At point A, use a protractor to construct angle A, which is 65 degrees.
3. Draw Side AD
- From point A, measure and draw line segment AD that is 12 cm long, ensuring it follows the angle created.
4. Locate Point D
- Mark point D at the end of segment AD.
5. Draw Side BC
- From point B, draw a line segment BC of 12 cm, ensuring that it does not intersect any previous lines.
6. Construct Side CD
- Finally, connect point C to point D by drawing segment CD of 10 cm.
7. Verify the Shape
- Ensure that all sides and angles have been drawn correctly, leading to a closed quadrilateral.
Characteristics of Quadrilateral ABCD
- Equal Length Sides:
- AB = CD = 10 cm
- AD = BC = 12 cm
- Angle A:
- Angle A measures 65 degrees.
Special Name for Quadrilateral ABCD
Given that opposite sides are equal and one angle is specified, quadrilateral ABCD can be classified as a cyclic quadrilateral. This means that it can be inscribed in a circle, due to the nature of equal opposite sides.
Rough Figure
- Visualize a quadrilateral where:
- AB and CD are horizontal, both measuring 10 cm.
- AD and BC are vertical with lengths of 12 cm.
- Angle A opens upwards at 65 degrees, forming a non-parallel shape.
This construction demonstrates the properties of quadrilaterals and highlights the cyclic nature of ABCD.
To construct quadrilateral ABCD with the given dimensions, follow these steps:
1. Draw Side AB
- Start by drawing a line segment AB of 10 cm.
2. Construct Angle A
- At point A, use a protractor to construct angle A, which is 65 degrees.
3. Draw Side AD
- From point A, measure and draw line segment AD that is 12 cm long, ensuring it follows the angle created.
4. Locate Point D
- Mark point D at the end of segment AD.
5. Draw Side BC
- From point B, draw a line segment BC of 12 cm, ensuring that it does not intersect any previous lines.
6. Construct Side CD
- Finally, connect point C to point D by drawing segment CD of 10 cm.
7. Verify the Shape
- Ensure that all sides and angles have been drawn correctly, leading to a closed quadrilateral.
Characteristics of Quadrilateral ABCD
- Equal Length Sides:
- AB = CD = 10 cm
- AD = BC = 12 cm
- Angle A:
- Angle A measures 65 degrees.
Special Name for Quadrilateral ABCD
Given that opposite sides are equal and one angle is specified, quadrilateral ABCD can be classified as a cyclic quadrilateral. This means that it can be inscribed in a circle, due to the nature of equal opposite sides.
Rough Figure
- Visualize a quadrilateral where:
- AB and CD are horizontal, both measuring 10 cm.
- AD and BC are vertical with lengths of 12 cm.
- Angle A opens upwards at 65 degrees, forming a non-parallel shape.
This construction demonstrates the properties of quadrilaterals and highlights the cyclic nature of ABCD.
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Construct a quadrilateral ABCD in which AB=CD=10cm, AD=BC=12cm and angle A= 65°. What special name can you give to this quadrilateral? Draw the rough figure too.?
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Construct a quadrilateral ABCD in which AB=CD=10cm, AD=BC=12cm and angle A= 65°. What special name can you give to this quadrilateral? Draw the rough figure too.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Construct a quadrilateral ABCD in which AB=CD=10cm, AD=BC=12cm and angle A= 65°. What special name can you give to this quadrilateral? Draw the rough figure too.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Construct a quadrilateral ABCD in which AB=CD=10cm, AD=BC=12cm and angle A= 65°. What special name can you give to this quadrilateral? Draw the rough figure too.?.
Construct a quadrilateral ABCD in which AB=CD=10cm, AD=BC=12cm and angle A= 65°. What special name can you give to this quadrilateral? Draw the rough figure too.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Construct a quadrilateral ABCD in which AB=CD=10cm, AD=BC=12cm and angle A= 65°. What special name can you give to this quadrilateral? Draw the rough figure too.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Construct a quadrilateral ABCD in which AB=CD=10cm, AD=BC=12cm and angle A= 65°. What special name can you give to this quadrilateral? Draw the rough figure too.?.
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