Question

Construct a rhombus ABCD in which AB = 4 cm and ∠ABC = 60º. Divide it into two triangles ABC and ADC. Construct the triangle AB'C' similar to △ABC with scale factor 2/3. Draw a line segment CD'parallel to CD, where D' lies on AD. ls AB'C'D' a rhombus ? Give reasons.

Answer 1

Steps of construction:

1. The rhombus ABCD is draw in which AB = 4 cm and ∠ABC =  60º.

2. Join AC. ABCD is divided into two triangles ABC and ADC.

3. Construct triangle AB'C' similar to ABC with scale factor 2/3.

4. Draw the line segment C'D' parallel to CD.

It can be observed that: