Today our topic of discussion is Practical Geometry Exercises 7.2.
Practical Geometry Exercises 7.2
Exercise 7.2
- The two angles of a right angled triangle are given. Which one of the following combinations allows constructing the triangle?
1) 60° and 36°
2) 40° and 50°
4) 80° and 20°
3) 30° and 70°
- If the lengths of two sides of a triangle are respectively 4 cm and 9 cm, then what of the following will be the length of the third side?
1) 4
2) 5
3) 6
4) 13
- If the lengths of two equal sides of a isosceles right angled triangle are 18 cm, then what of the following is the measurement of the triangle?
1) 36
2) 81
3) 162
4) 324
- The construction of a particular quadrilateral is possible if there is given-
(i) four sides and an angle
(ii) three sides and two included angles
(iii) two sides and three angles
Which one of the following is correct?
1) i
2) ii
3) i, ii
4) i, ii and iii
- In a rhombus-
(i) four sides are mutually equal
(ii) opposite angles are equal
(iii) two diagonals bisect each other in right angle
Which one of the following is correct?
1) i, ii
2) i, iii
3) ii, iii
4) i, ii and iii
In the picture, ABCD is a rectangle where EF = 2cm and DE = 3 cm. Use the above information to answer the question (6-8):
- How many cm is the length of BF?
1) 1
2) √5
3) √13
4) 5
- How many cm is the length of AB?
1) 2
2) 2√5
3) 5√2
4) 10
- How many square e m is the measurement of ABCD?
1) 8√5
2) 20
3) 12√5
4) 32√5
- Construct a quadrilateral with the following data:
1) The lengths of four sides are 3 cm, 3.5 cm, 2.5 cm and 3 cm and an angle is 45 °
2) The lengths of four sides are 3.5 cm, 4 cm, 2.5 cm and 3.5 cm and a diagonal is 5 cm.
3) The lengths of three sides are 3.2 cm, 3 cm, 3.5 cm and two diagonals are 2.8 cm. and 4.5 cm.
4) The lengths of three sides are 3 cm, 3.5 cm, 4 cm and two angles are 60°and 45°
- Construct a parallelogram with the following data:
1) The lengths of two diagonals are 4 cm, 6.5 cm and the included angle is 45°
2) The length of a side is 4 c.m. and the lengths of two diagonals are 5 c.m., 6.5 c.m.
- The sides AB and BC and the angles ∠B ,∠C and ∠D of the quadrilateral ABCD are given. Construct the quadrilateral.
- The four segments made by the intersecting points of the diagonals of a quadrilateral ABCD and an included angle between them are OA = 4 cm, OB = 5cm, OC = 3.5cm ,OD = 4.5cm and ∠AOB = 80°respectively. Construct the quadrilateral.
- The length of a side of a rhombus and an angle are 3.5 cm and 45°respectively; construct the rhombus.
- The length of a side and a diagonal of a rhombus are given; construct the rhombus.
- The length of two diagonal of a rhombus are given. Construct the rhombus.
- The perimeter of a square is given. Construct the square.
- The lengths of the hypotenuse and a side of right angled triangle are 5 cm and 4 cm Use the information to answer the following questions:
1) Find the length of the other sides of the triangle.
2) Construct the triangle. (Construction is must)
3) Construct a square whose perimeter is equal to the perimeter of the triangle. (Construction is must)
- AB = 4cm ,BC = 5cm ,∠A = 85°, ∠B = 80°and angle C = 95°of the quadrilateral ABCD. Use the information to answer the following questions:
1) Find the value of ∠D .
2) Use the above information to construct the quadrilateral ABCD. (Constructon is must) 3) Construct the parallelogram considering the given sides as two sides of the parallelogram and ∠B = 80° . (Constructon is must)
- The length of two parallel sides of a trapezium 4 cm and 6 cm and two angles adjacent greater side are ∠x = 60° and ∠y = 50°.
1) Express the given information in a picture.
2) Construct the trapezium. (Construction construction are must) and description of
3) Supposing two sides of the stem as two diagonals of a parallelogram and angle y as included angle, construct the parallelogram. (Construction and description of construction are must)
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