Mathematics - International - 0607 CIE

Similarity

Gbogbo ọrọ náà

Two shapes are similar when one is an exact enlargement of the other: same shape, different size. That single relationship lets you find missing lengths in maps, models and photographs, and (at Extended) connect the areas and volumes of similar figures.

In this lesson you will calculate lengths in similar shapes using the scale factor, and (at Extended) use the relationships between the lengths, areas and volumes of similar figures to solve problems.

Ebumnobi

Calculate lengths of similar shapes.
Use the relationships between lengths and areas of similar shapes and lengths, surface areas and volumes of similar solids. (Extended only)
Solve problems and give simple explanations involving similarity. (Extended only)

Akọmọ Ojú-ẹkọ

Similarity is how we scale things reliably: a model car, a photograph, a map. Knowing that corresponding sides keep the same ratio turns an awkward measurement into a quick calculation.

Ọ dị na ngwa Green Bridge

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Ọ dị na Android, Windows, macOS, na Linux

Ayẹwo Ẹkọ

Ekele diri gi maka imecha ihe karịrị na Similarity. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.

Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.

Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.

Two similar triangles have corresponding sides 3 cm and 6 cm. The scale factor is: A. 2 B. 3 C. 9 D. 18 Answer: A
A 2 cm side in the small triangle corresponds to what length at scale factor 2? A. 1 cm B. 2 cm C. 4 cm D. 6 cm Answer: C
If lengths scale by factor 3, the area scales by: A. 3 B. 6 C. 9 D. 27 Answer: C
If lengths scale by factor 2, the volume scales by: A. 2 B. 4 C. 6 D. 8 Answer: D
In similar shapes, corresponding angles are: A. doubled B. halved C. equal D. supplementary Answer: C