Are square and a rhombus similar or congruent. Discuss.

All squares are …………… (similar/congruent).

Are a rectangle and a parallelogram similar. Discuss.

State the reasons for the following. (i) A square is a special kind of a rectangle. (ii) A rhombus is a special kind of a parallelogram. (iii) A rhombus and a kite have one common property. (iv) A square and a rhombus have one common property.

Show that the diagonals of a rhombus divide it four congruent triangles.

If a ,b ,c and u ,v ,w are the complex numbers representing the vertices of two triangles such that c=(1-r)a+r b, and w=(1-r)u+r v , where r is a complex number, then the two triangles (a)have the same area (b) are similar (c)are congruent (d) None of these

I have tied my square bathroom wall with congruent square tiles. All the tiles are red, except those along the two diagonals, which are all blue. If I used 121 blue tiles, then the number of red tiles I used are

Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals

Prove that the sum of the squares of the diagonals of rhombus is equal to the sum of the squares of the sides.

If S = {square, rectangle, circle, rhombus, triangle}, list the elements of the following subset of S. The set of shapes which have radius.