ICSE ICSE Class 7 - CISCE Question Bank Solutions for Mathematics

Draw a quadrilateral with more than four lines of symmetry. In case, if possible, represent the line/ lines of symmetry by dotted lines. Also, write the special name of the quadrilateral drawn.

Draw a quadrilateral with only one line of symmetry. In case, if possible, represent the line/ lines of symmetry by dotted lines. Also, write the special name of the quadrilateral drawn.

Construct an equilateral triangle with each side 6 cm. In the triangle drawn, draw all the possible lines of symmetry.

Construct a triangle ABC in which AB = AC = 5 cm and BC = 5.6 cm. If possible, draw its lines of symmetry.

Construct a triangle PQR such that PQ = QR = 5 .5 cm and angle PQR = 90°. If possible, draw its lines of symmetry.

If possible, draw a rough sketch of a quadrilateral which has exactly two lines of symmetry.

A quadrilateral ABCD is symmetric about its diagonal AC. Name three sides of this quadrilateral which are equal.

How many lines of symmetry does a rhombus have?

State, whether the pairs of triangles given in the following figures are congruent or not:

State, whether the pairs of triangles given in the following figures are congruent or not:

State, whether the pairs of triangles given in the following figures are congruent or not:

State, whether the pairs of triangles given in the following figures are congruent or not:

State, whether the pairs of triangles given in the following figures are congruent or not:

State, whether the pairs of triangles given in the following figures are congruent or not:

Δ ABC in which AB = 2 cm, BC = 3.5 cm and ∠C = 80° and Δ DEF in which DE = 2 cm, DF = 3.5 cm and ∠D = 80°.

In the given figure, prove that: ∆ ABD ≅ ∆ ACD

Prove that:
(i) ∆ ABC ≅ ∆ ADC
(ii) ∠B = ∠D
(iii) AC bisects angle DCB

Prove that:

1. ∆ ABD ≅ ∆ ACD
2. ∠B = ∠C
3. ∠ADB = ∠ADC
4. ∠ADB = 90°

In the given figure, prove that:
(i) ∆ ACB ≅ ∆ ECD
(ii) AB = ED

Prove that:
(i) ∆ ABC ≅ ∆ ADC
(ii) ∠B = ∠D

State, whether the pairs of triangles given in the following figures are congruent or not: