RBSE Class 7 Maths Important Questions Chapter 10 Practical Geometry

Rajasthan Board RBSE Class 7 Maths Important Questions Chapter 10 Practical Geometry Important Questions and Answers.

RBSE Class 7 Maths Chapter 10 Important Questions Practical Geometry

Multiple Choice Questions

Question 1.
Which of the following cannot be the measure of sides of a triangle?
(a) 8 cm, 6 cm, 10 cm
(b) 2 cm, 4 cm, 2 cm
(c) 9 cm, 8 cm, 7 cm
(d) 8 cm, 8 cm, 5 cm
Answer:
(b) 2 cm, 4 cm, 2 cm

Question 2.
To construct an equilateral triangle we must know:
(a) Measure of any one angle
(b) Measure of any one side
(c) Both (a) and (b)
(d) None of these
Answer:
(b) Measure of any one side

Question 3.
Which of the following cannot be the - measure of angles of a triangle?
(a) 50°, 30°, 100°
(b) 70°, 80°, 30°
(c) 100°, 40°, 40°
(d) 25°, 55°, 90°
Answer:
(d) 25°, 55°, 90°

Question 4.
To construct a right-angled triangle we must know :
(a) Measurement of hypotenuse
(b) Measurement of any one angle
(c) Measurement of hypotenuse and any one side
(d) None of the above
Answer:
(c) Measurement of hypotenuse and any one side

Question 5.
We can construct a triangle only when the sum of any two sides is : ’
(a) Greater than the third side
(b) Less than the third side
(c) Equal to the third side
(d) Equal to the perimeter of triangle 
Answer:
(a) Greater than the third side

Fill in the Blanks

Question 1.
In a triangle the sum of any two sides of a triangle is always _________________ than the third side.
Answer:
greater

Question 2.
Sum of the three angles of a triangle is _________________
Answer:
180°

Question 3.
In given figure, hypotenuse of ABC is _________________

Answer:
BC

Question 4.
In above fig. ∠B = 40° then m∠C = _________________
Answer:
50°

Question 5.
Measure of each angle of an equilatual triangle is _________________
Answer:
60°

State whether True or False

Question 1.
We can construct a triangle if we know the measurement of all three angles.
Answer:
True

Question 2.
We can draw only one line parallel to given line from a point outside it.
Answer:
True

Question 3.
Measure of each angle of an isosceles triangle is 60°.
Answer:
False

Question 4.
To construct a right-angled triangle measure of hypotenuse and any one side is required.
Answer:
True

Short and Long Answer Type Questions

Question 1. 
Contract a ΔABC in which AB = 5 cm, BC = 6 cm and AC = 7 cm.
Answer:
Steps of construction :
1. Draw a rough sketch of ΔABC and marks all the given measurements on it.

2. Draw a line segment BC = 6 cm.

3. Taking B as centre and radius 5 cm draw an arc.
4. Taking C as centre and radius 7 cm draw another arc intersecting the previous arc at A.
5. Join AB and AC.
Thus ΔABC is the required triangle.

Question 2. 
Construct ΔFGH, given that FG = 5 cm, ∠FGH = 110° and GH = 4 cm.
Answer:
Steps of construction :
1. Draw a rough sketch of ΔFGH and marks all the given measurement on it.

2. Draw a line-segment FG = 5 cm.
3. Draw ∠FGK = 110° with the help of protractor.
4. From GK, cut off GH = 4 cm.
5. Join H to F.
Thus ΔFGH is the required triangle.

Question 3. 
Construct a ΔABC, when ∠B = 40°, ∠A = 50° and AB - 5 cm.
Answer:
Steps of construction :

1. Draw a rough sketch of ΔABC and marks all the given measurements on it.
2. Draw a line-segment AB = 5 cm with the help of ruler.
3. Draw ∠50° and ∠40° at points A and B respectively.
4. Let sides of two angles intersect at C. 

Thus ΔABC is the required triangle.

Question 4.
Construct an isosceles ΔABC, where ∠ACB - 90° and AC = 6 cm.
Answer:
Steps of construction :
1. Draw a rough sketch of AABC and marks all the given measurements on it.

(Rough Sketch)
2. Draw line segment CB = 6 cm.
(∵ CB= AC = 6 cm)
3. Draw ∠BCX= 90°.
4. Taking C as centre and radius 6 cm draw an arc intersecting CX at A.

5. Join AB.
Thus ΔABC is the required triangle.