Class 7 Mathematics MCQ Practical Geometry

Question 35: Which vertex of ΔABC is right angled if $\overline { AB }$ = 8 cm, $\overline { AC }$ = 6 cm,and $\overline { BC }$ = 10 cm,?

(A) ∠C
(B) ∠A
(C) ∠B
(D) A or C

Question 36: An isosceles triangle is constructed as shown in the figure.

Which of the given statements is incorrect?

(A) $\overline { PR }$ is the hypotenuse of ΔPQR.
(B) ΔPQR is an equilateral triangle.
(C) ΔPQR is a right angled triangle.
(D) If right angled ΔPQR has its equal angles measuring 45° each.

Question 37: ΔPQR is constructed with all its angles measuring 60° each. Which of the following is correct?

(A) ΔPQR is an equilateral triangle.
(B) ΔPQR is isosceles triangle.
(C) ΔPQR is a scalene triangle.
(D) ΔPQR is a right angled triangle.

Question 38: How many perpendicular lines can be drawn to a line from a point not on it?

(A) 1
(B) 2
(C) 0
(D) Infinite

Question 39: Identify the false statement.

(A) A triangle with three equal sides is called an equilateral triangle.
(B) A triangle with a right angle is called a right angled triangle
(C) A triangle with two equal sides is called a scalene triangle.
(D) A right angled triangle has two acute angles and a right angle.

Question 40: ΔPQR is constructed such that PQ = 5 cm, PR = 5 cm and ∠RPQ = 50° Identify the type of triangle constructed.

(A) An isosceles triangle
(B) An acute angled triangle
(C) An obtuse angled triangle
(D) Both [a] and [b]

Question 41: Which of the following is NOT constructed using a ruler and a set square?

(A) A perpendicular to a line from a point not on it.
(B) A perpendicular bisector of a line segment.
(C) A perpendicular to a line at a point on the line.
(D) A line parallel to a given line through a given point.

Question 42: 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?

(A) 60°
(B) 30°
(C) 120°
(D) 45°

Question 43: In ΔXYZ, x, y and z denote the three sides. Which of the following is incorrect’?

(A) x – y > z
(B) x + z > y
(C) x – y < z
(D) x + y > z

Question 44: In which of the following cases can a triangle be constructed?

(A) Measures of three sides are given.
(B) Measures of two sides and an included angle are given.
(C) Measures of two angles and the side between them are given.
(D) All the above.

Question 45: Based on the sides of a triangle, which of the following is a classification of triangles?

(A) A right angled triangle
(B) An acute angled triangle
(C) An obtuse angled triangle
(D) An isosceles triangle

Question 46: Which of the following is used to draw a line parallel to a given line?

(A) A protractor
(B) A set square
(C) A ruler
(D) A ruler and compasses

Question 47: 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?

(A) l // n
(B) l ⊥ n
(C) I is the same line as n
(D) Neither [a] nor [b]

Question 48: A Choose the correct option in which a triangle CANNOT be constructed with the given lengths of sides.

(A) 3 cm, 4 cm, 5 cm
(B) 7 cm, 6 cm, 5 cm
(C) 10 cm, 7 cm, 2 cm
(D) 12 cm, 8 cm, 6 cm

Question 49: Identify the true statement.

(A) A triangle with 3 equal sides is isosceles.
(B) A triangle with a 110° angle is right angled.
(C) A triangle with 3 acute angles is acute angled.
(D) A triangle with 2 equal sides is equilateral.

Question 50: Which of the following statements is incorrect?

(A) The sum of angles in a triangle is 2 right angles.
(B) The exterior angle of a triangle is equal to the interior angle of the triangle.
(C) The hypotenuse is the longest side of a right angled triangle.
(D) All the above.

Question 51: A triangular sign board is isosceles. If the unequal side is 7 cm and one of the equal sides is 6 cm, what is the measure of the third side?

(A) 5 cm
(B) 6 cm
(C) 7 cm
(D) Either [a] or [c]

Question 52: In the given figure, find the measure of ∠ROT, if PQ = QR and ∠QPR = 60°.

(A) 60°
(B) 140°
(C) 120°
(D) 100°

Question 53: Which among the following is used to construct a triangle?

(A) The lengths of the three sides.
(B) The perimeter of the triangle.
(C) The measures of three angles.
(D) The names of three vertices.

Question 1: The exterior angle of a triangle is equal in measure to the sum _____________ of opposite angles.

Question 2: The total measure of the three angles of a triangle is __________.

Question 3: Sum of the lengths of any two side of a triangle is _________ than the length of the third side.

Question 4: In any right angled triangle, the square of the length of hypotenuse is equal to the sum of the ________ of the lengths of the other two sides.

Question 5: _________ sides.

Question 6: Two sides and the angle ________ them.

Question 7: Two angles and the side _________ them.

Question 8: The hypotenuse and a _______ in the case of a right-angle triangle.