Similarity
Muhtasari
Similar shapes are everywhere: a photograph and its enlargement, a model car and the real thing, a map and the landscape it represents. In each case the shape is the same but the size is different, and a single scale factor links every pair of corresponding lengths.
You will learn to identify similar figures, calculate unknown lengths using scale factors, and work with maps and scale drawings. At Higher tier, you will discover that areas scale by the square of the linear factor and volumes by the cube.
Malengo
- Understand and use the geometrical properties that similar figures have corresponding lengths in the same ratio but corresponding angles remain unchanged
- Use and interpret maps and scale drawings
- [Higher] Understand that areas of similar figures are in the ratio of the square of corresponding sides
- [Higher] Understand that volumes of similar figures are in the ratio of the cube of corresponding sides
- [Higher] Use areas and volumes of similar figures in solving problems
Maelezo ya Somo
Inapatikana kwenye programu ya Green Bridge
Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.
Tathmini ya Somo
Hongera kwa kukamilisha somo la Similarity. Sasa kwa kuwa umechunguza dhana na mawazo muhimu, ni wakati wa kuweka ujuzi wako kwa mtihani. Sehemu hii inatoa mazoezi mbalimbali maswali yaliyoundwa ili kuimarisha uelewaji wako na kukusaidia kupima ufahamu wako wa nyenzo.
Utakutana na mchanganyiko wa aina mbalimbali za maswali, ikiwemo maswali ya kuchagua jibu sahihi, maswali ya majibu mafupi, na maswali ya insha. Kila swali limebuniwa kwa umakini ili kupima vipengele tofauti vya maarifa yako na ujuzi wa kufikiri kwa makini.
Tumia sehemu hii ya tathmini kama fursa ya kuimarisha uelewa wako wa mada na kubaini maeneo yoyote ambapo unaweza kuhitaji kusoma zaidi. Usikatishwe tamaa na changamoto zozote utakazokutana nazo; badala yake, zitazame kama fursa za kukua na kuboresha.
- Two similar rectangles have lengths 5 cm and 20 cm. The scale factor is: A) 2 B) 4 C) 15 D) 100 Answer: B
- If the scale factor of two similar shapes is 3, the area scale factor is: A) 3 B) 6 C) 9 D) 27 Answer: C
- A map scale is 1:50 000. What does 4 cm on the map represent? A) 200 m B) 2 km C) 20 km D) 500 m Answer: B
- Two similar solids have a volume ratio of 8:27. The linear scale factor is: A) 2:3 B) 4:9 C) 8:27 D) 3:2 Answer: A
- Shapes are similar if: A) They have the same area B) They have the same perimeter C) Corresponding angles are equal and sides are proportional D) They have the same number of sides Answer: C
Inapatikana kwenye programu ya Green Bridge
Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.
Inapatikana kwenye programu ya Green Bridge
Pakua programu ya Green Bridge CBT kwenye simu yako au kompyuta yako ili kupata maelezo kamili ya masomo, maswali ya mazoezi, na mengi zaidi.
Vitabu Vinavyopendekezwa
Fanya Mazoezi ya Maswali ya Majaribio
Ungependa kufanya mazoezi ya maswali ya majaribio kuhusu Similarity? Pakua programu ya Green Bridge CBT ili kupata maswali ya majaribio na tathmini kamili za mazoezi kuhusu mada hii.
Pakua Programu Kwenye Google Playstore
Kila kitu unachohitaji ili kufaulu katika JAMB, WAEC & NECO.
