Congruence & Similarity (Cambridge (CIE) IGCSE Maths: Core)

Soraya designs two mathematically similar flags.

Calculate the height, , of the larger flag.

= ............................................... m

The diagram shows two similar triangles, and  .

Calculate .

= ............................................. cm

Explain why triangle and triangle are similar.

Find .

= ............................. cm

i) Explain why these rectangles are mathematically similar.

[1]

ii) How many times bigger is the area of the large rectangle than the area of the small rectangle?

[2]

Triangle  and triangle  are similar.

Find .

= ............................... cm [2]

The diagram shows two similar triangles and .

Calculate .

= ............................................ cm 

The diagram shows two mathematically similar plant pots.

The smaller pot has height 21.6 cm and diameter 27 cm.
The larger pot has diameter 33 cm.

Find the height, , of the larger pot.

= ............................................ cm

Explain why triangle is similar to triangle .

Triangle is similar to triangle .

= ......................................... cm

Shape  is similar to shape .

Work out the value of .

................................