Mathematics (US) - 0444 CIE

Similarity

Gbogbo ọrọ náà

Two figures are similar when they have the same shape but not necessarily the same size: one is a scaled copy of the other. Every pair of matching lengths is in the same ratio, the scale factor, which lets you find a missing length from a single comparison.

In this lesson you will recognize similar figures, use the scale factor to calculate lengths, and (Extended) see how areas scale by the square of the scale factor and volumes by its cube. That area and volume rule is a favorite of examiners.

Ebumnobi

Recognize similar figures and calculate lengths of similar figures, and (Extended) relate the areas and volumes of similar figures.

Akọmọ Ojú-ẹkọ

Scaling is everywhere: maps, models, photographs and enlargements. Similarity gives the exact rules for how lengths, areas and volumes change when a shape is scaled.

Ọ dị na ngwa Green Bridge

Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.

Akwụkwọ ndụmọdụ zuru oke nwere eserese

Onye inyeaka mmụta AI

Mụọ n'ụzọ na-enweghị ịntaneti, oge ọbụla, ebe ọbụla

Budata ngwa ekwentị Budata ngwa kọmputa

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 matching sides 4 and 6. The scale factor is: A. 1.2 B. 1.5 C. 2 D. 2.4 Answer: B
If the length scale factor is k, the area scale factor is: A. k B. 2k C. k squared D. k cubed Answer: C
If the length scale factor is k, the volume scale factor is: A. k B. k squared C. k cubed D. 3k Answer: C
Similar figures have corresponding angles that are: A. doubled B. equal C. halved D. supplementary Answer: B
Two similar solids have lengths in ratio 2:3. The volume ratio is: A. 2:3 B. 4:9 C. 8:27 D. 6:9 Answer: C