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Constructing a Rectangle from One Side and One Diagonal

Guessing B with a ruler is trial and error. Draw DC = 5 cm. At C, draw a perpendicular to DC-a right-angle line-and choose the ray. B lies there, 7 cm...

Prompt

Source idea used to generate this video.

please give the content within the prompt given , please follow the exact prompt syllabus PART B — RECTANGLE FROM ONE SIDE AND ONE DIAGONAL Challenge: one side = 5 cm, diagonal = 7 cm. 1. Draw DC = 5 cm accurately with a ruler. 2. At C, construct a perpendicular to DC and label it line ℓ. Explain that B must lie on ℓ. 3. Explain the second condition: DB = 7 cm. B must be on ℓ and exactly 7 cm from D. 4. Explain why moving a ruler repeatedly is trial and error. 5. Open the compass to 7 cm using a ruler. With D as centre, draw a circle of radius 7 cm. Explain that every point on this circle is 7 cm from D. 6. Mark the intersection of the circle and line ℓ as B. Explain that B satisfies both conditions. Show that only the small arc near ℓ is needed; drawing the entire circle is optional. 7. Complete the rectangle: construct a perpendicular through D and a perpendicular through B; their intersection gives A. Join the required sides. 8. Keep labels consistent: DC = 5 cm and DB = 7 cm.

Narration

Narration used to create this video.

Video narration

Guessing B with a ruler is trial and error. Draw DC = 5 cm. At C, draw a perpendicular to DC-a right-angle line-and choose the ray. B lies there, 7 cm from D. Set your compass to 7 cm; draw an arc centered at D. Every point on it is 7 cm from D. Mark B where arc meets the ray. Perpendiculars through D and B meet at A. Join the sides: rectangle complete, 5 across, 7 diagonally.