MCQ Practical Geometry Chapter 10 Class 7 Maths

MCQ’s For All Chapters – Maths Class 7th

1. In ΔRST, R = 5 cm, and ∠SRT = 45° and ∠RST = 45°. Which criterion can be used to construct ΔRST?

A.S.A. criterion

S.A.S. criterion

S.S.S. criterion

R.H.S. criterion

Your comments:

Question 1 of 20

2. Identify the criterion of construction of the equilateral triangle LMN given LM = 6 cm.

S.A.S. criterion

R.H.S. criterion

A.S.A. criterion

S.S.S. criterion

Your comments:

Question 2 of 20

3. The idea of equal alternate angles is used to construct which of the following?

A line parallel to a given line

A triangle

A square

Two triangles

Your comments:

Question 3 of 20

4. A Given AB = 3 cm, AC = 5 cm,and ∠B = 30°, ΔABC cannot be uniquely constructed, with AC as base, why?

Two sides and included angle are given.

The other two angles are not given.

The vertex B cannot be uniquely located.

The vertex A coincides with the vertex C.

Your comments:

Question 4 of 20

5. A line panda point X not on it are given. Which of the following is used to draw a line parallel to p through X?

Equal corresponding angles.

Congruent triangles.

Angle sum property of triangles.

Pythagoras’ theorem.

Your comments:

Question 5 of 20

6. Δ PQR is such that ∠P = ∠Q = ∠R = 60° which of the following is true?

Δ PQR is equilateral.

Δ PQR is acute angled.

Both [a] and [b]

Neither [a] nor [b]

Your comments:

Question 6 of 20

7. Which vertex of ΔABC is right angled if A̅B̅ = 8 cm, A̅C̅ = 6 cm,and B̅C̅ = 10 cm,?

∠C

∠A

∠B

A or C

Your comments:

Question 7 of 20

8. An isosceles triangle is constructed as shown in the figure.

Which of the given statements is incorrect?

P̅R̅ is the hypotenuse of ΔPQR.

ΔPQR is an equilateral triangle.

ΔPQR is a right angled triangle.

If right angled ΔPQR has its equal angles measuring 45° each.

Your comments:

Question 8 of 20

9. ΔPQR is constructed with all its angles measuring 60° each. Which of the following is correct?

ΔPQR is an equilateral triangle.

ΔPQR is isosceles triangle.

ΔPQR is a scalene triangle.

ΔPQR is a right angled triangle.

Your comments:

Question 9 of 20

10. How many perpendicular lines can be drawn to a line from a point not on it?

Infinite

Your comments:

Question 10 of 20

11. Identify the false statement.

A triangle with three equal sides is called an equilateral triangle.

A triangle with a right angle is called a right angled triangle.

A triangle with two equal sides is called a scalene triangle.

A right angled triangle has two acute angles and a right angle.

Your comments:

Question 11 of 20

12. ΔPQR is constructed such that PQ = 5 cm, PR = 5 cm and ∠RPQ = 50° Identify the type of triangle constructed.

An isosceles triangle

An acute angled triangle

An obtuse angled triangle

Both [a] and [b]

Your comments:

Question 12 of 20

13. Which of the following is NOT constructed using a ruler and a set square?

A perpendicular to a line from a point not on it.

A perpendicular bisector of a line segment.

A perpendicular to a line at a point on the line.

A line parallel to a given line through a given point.

Your comments:

Question 13 of 20

14. Study the steps of construction given.
Step 1: Draw a ray OA.
Step 2: With O as centre and any convenient radius draw an arc MN to cut OA at M.
Step 3: With M as centre and the same radius draw an arc to cut MN at P.
Step 4: With P as centre and the same radius, draw an arc to cut MN at Q.
Step 5: Draw OQ and produce it to D. An angle AOD is constructed.
What is the measure of ∠AOD?

60°

30°

45°

Your comments:

Question 14 of 20

15. In ΔXYZ, x, y and z denote the three sides. Which of the following is incorrect’?

x – y > z

x + z > y

x – y < z

x + y > z

Your comments:

Question 15 of 20

16. In which of the following cases can a triangle be constructed?

Measures of three sides are given.

Measures of two sides and an included angle are given.

Measures of two angles and the side between them are given.

All the above.

Your comments:

Question 16 of 20

17. Which among the following is used to construct a triangle?

The lengths of the three sides.

The perimeter of the triangle.

The measures of three angles.

The names of three vertices.

Your comments:

Question 17 of 20

18. In the given figure, find the measure of ∠ROT, if PQ = QR and ∠QPR = 60°.

60°

140°

120°

100°

Your comments:

Question 18 of 20

19. Direction: David folds a sheet of paper. The dotted lines as shown in the figure are the creases formed, which are named as l, m and n.

What can you say about lines I and n?