ICSE ICSE Class 7 - CISCE Question Bank Solutions

Show that the following figure has two lines of symmetry and a rotational.

Name a figure that has a line of symmetry but does not have any rotational symmetry.

In the following figure, draw all possible lines of symmetry and also write the order of rotational symmetry:

In the following figure, draw all possible lines of symmetry and also write the order of rotational symmetry:

In the following figure, draw all possible lines of symmetry and also write the order of rotational symmetry:

In the following figure, draw all possible lines of symmetry and also write the order of rotational symmetry:

In the following figure, draw all possible lines of symmetry and also write the order of rotational symmetry:

Draw a map of your classroom using proper scale and symbols for different objects.

Draw a map of your school compound using proper scale and symbols for various features like a playground, main building, garden, etc.

In the map of India, the distance between the two cities is 13.8 cm.
Taking scale: 1 cm = 12 km, find the actual distance between these two cities.

In the given figure, prove that: BD = BC.

In the given figure ;
∠1 = ∠2 and AB = AC.
Prove that:
(i) ∠B = ∠C
(ii) BD = DC
(iii) AD is perpendicular to BC.

In the given figure prove that:
(i) PQ = RS
(ii) PS = QR

(i) ∆ XYZ ≅ ∆ XPZ
(ii) YZ = PZ
(iii) ∠YXZ = ∠PXZ

In the given figure, prove that:
(i) ∆ ABC ≅ ∆ DCB
(ii) AC = DB

In the given figure, prove that:

1. ∆AOD ≅ ∆ BOC
2. AD = BC
3. ∠ADB = ∠ACB
4. ∆ADB ≅ ∆ BCA

ABC is an equilateral triangle, AD and BE are perpendiculars to BC and AC respectively. Prove that:
(i) AD = BE
(ii) BD = CE

Use the information given in the following figure to prove triangles ABD and CBD are congruent. Also, find the values of x and y.

The given figure shows a triangle ABC in which AD is perpendicular to side BC and BD = CD. Prove that:
(i) ∆ ABD ≅ ∆ ACD
(ii) AB = AC
(iii) ∠B = ∠C

The radius of a circle is 21 cm. Find the circumference (Take π = `3 1/7`).