# 7th Class Mathematics Practical Geometry Question Bank

### done Practical Geometry

• 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.

• A) ${{60}^{o}}$

B) ${{140}^{o}}$

C) ${{120}^{o}}$

D) ${{100}^{o}}$

• A) 5cm

B) 6cm

C) 7cm

D) Either [a] or [c]

• 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.

• A) A triangle with 3 equal sides is isosceles.

B) A triangle with a ${{110}^{o}}$ angle is right angled.

C) A triangle with 3 acute angles is acute angled.

D) A triangle with 2 equal sides is equilateral.

• A) Measures of 3 sides are given.

B) Measures of 2 sides and an included angle are given.

C) Measures of 2 angles and a side are given.

D) Measures of 3 angles are given.

• 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

• A) $l//m$

B) $l//n$

C) $n//m$

D) Either [b] or [c]

• A) $l//n$

B) $l\bot n$

C) I is the same line as n

D) Neither [a] nor [b]

• A) n is a line parallel to I and m.

B) n is a line parallel to I only.

C) n is a transversal.

D) n is a line parallel to m only.

• A) A protractor

B) A set square

C) A ruler

D) A ruler and compasses

• A) 2

B) 1

C) 3

D) 0

• A) A right angled triangle

B) An acute angled triangle

C) An obtuse angled triangle

D) An isosceles triangle

• A) An equilateral triangle

B) An isosceles triangle

C) A right angled triangle

D) A scalene triangle

• 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.

• A) $\Delta DEF$ can be constructed.

B) $\Delta DEF$ is an obtuse angled triangle.

C) $\Delta DEF$ cannot be constructed.

D) $\Delta DEF$ is an acute angled triangle.

• A) $x-y>z$

B) $x+z>y$

C) $x-y<z$

D) $x+y>z$

• A) Construct a ${{60}^{o}}$ angle using compasses and bisect it.

B) Construct a perpendicular bisector of a line segment.

C) Construct the bisector of any angle.

D) Construct an angle congruent to any given angle.

•  Step1: Draw a ray OA. Step2: With O as centre and any convenient radius draw an arc MN to cut $\overrightarrow{OA}$ at M. Step3: With M as centre and the same radius draw an arc to cut MN at P. Step4: With P as centre and the same radius, draw an arc to cut MN at Q. Step5: Draw OQ and produce it to D. An angle AOD is constructed.
What is the measure of $\angle AOD$?

A) ${{60}^{o}}$

B) ${{30}^{o}}$

C) ${{120}^{o}}$

D) ${{45}^{o}}$

•  Step 1: Construct an angle of $90{}^\circ$. Step 2: Bisect the $90{}^\circ$ angle. Step 3: Bisect one of the angles obtained in step 2.
Which steps is not required to construct a ${{45}^{o}}$ angle?

A) Step 1

B) Step 2

C) Step 3

D) Steps 2 and 3

• 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.

• A) An acute angled triangle

B) An obtuse angled triangle

C) An equilateral triangle

D) A right angled triangle

• A) An isosceles triangle

B) An acute angled triangle

C) An obtuse angled triangle

D) Both [a] and [b]

• A) All three acute angles are given.

B) A side and an acute angles are given.

C) Two obtuse angles are given.

D) All given sides are equal.

• 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.

• A) Sum of the three angles is${{180}^{o}}$.

B) The sum of any two of the sides is greater than the third side.

C) The difference of any two sides is lesser than the third side.

D) All the above.

• A) 1

B) 2

C) 0

D) Infinite

• A) X

B) Z

C) Y

D) $X=Y=Z$

• A) $\Delta PQR$ is an equilateral triangle.

B) $\Delta PQR$ is isosceles triangle.

C) $\Delta PQR$ is a scalene triangle.

D) $\Delta PQR$ is a right angled triangle.

• A) $\Delta DEF$ has all its sides equal.

B) $\Delta DEF$ is an acute angled triangle.

C) $\Delta DEF$ is a scalene triangle.

D) $\Delta DEF$ is not an equilateral triangle.

• A) $\overline{PR}$ is the hypotenuse of $\Delta PQR$.

B) $\Delta PQR$ is an equilateral triangle.

C) $\Delta PQR$ is a right angled triangle.

D) If right angled $\Delta PQR$ has its equal angles measuring ${{45}^{o}}$each.

• A) ${{75}^{o}}$

B) ${{80}^{o}}$

C) ${{65}^{o}}$

D) ${{45}^{o}}$

• A) $\angle C$

B) $\angle A$

C) $\angle B$

D) A or C

• A)

 Based on sides Based on angles Scalene Right angled

B)

 Based on sides Based on angles Isosceles Acute angled

C)

 Based on sides Based on angles Scalene Acute angled

D)

 Based on sides Based on angles Isosceles Right angled

• A) A PQR is equilateral.

B) APQR is acute angled.

C) Both [a] and [b]

D) Neither [a] nor [b]

• A) $\overline{XY}=6cm,\,\angle X={{40}^{o}},\angle Y={{70}^{o}}$

B) $\overline{DE}=8cm,\,\overline{EF}=7cm,\overline{FD}=9cm$

C) $\overline{PQ}=4cm,\,\overline{QR}=6cm,\angle Q={{80}^{o}}$

D) $\overline{AB}=5cm,BC=4cm,\angle C={{90}^{o}}$

• A) Equal corresponding angles.

B) Congruent triangles.

C) Angle sum property of triangles.

D) Pythagoras' theorem.

• A) A scalene triangle.

B) An acute angled triangle.

C) A right angled triangle.

D) An obtuse angled triangle.

• A) Two sides and included angle are given.

B) The other two angles are not given.

C) The vertex B cannot be uniquely located.

D) The vertex A coincides with the vertex C.

• A) $3\,cm$

B) $4\,cm$

C) $10\,cm$

D) $6\,cm$

• A) A line parallel to a given line

B) A triangle

C) A square

D) Two triangles

• A) S.S.S. property

B) R.H.S. property

C) S.A.S. property

D) A.S.A. property

• A) S.A.S. criterion

B) R.H.S. criterion

C) A.S.A. criterion

D) S.S.S. criterion

• A) DE is the hypotenuse of $\Delta DEF$.

B) $\angle E+\angle D={{90}^{o}}$

C) $EF=3cm$

D) All the above.

• A) A.S.A. criterion

B) S.A.S. criterion

C) S.S.S. criterion

D) R.H.S. criterion