A triangle is formed by the coordinates A (2, 1), B (4, 1) and C (1, 6). Draw the image of the triangle after…

Question

A triangle is formed by the coordinates A (2, 1), B (4, 1) and C (1, 6). Draw the image of the triangle after rotation through +90°. Give the coordinates of A¹B¹C¹ (4mks)

ScanSolve AI Tutor · Accepted Answer

Huu hapa ni utatuzi wa swali la mzunguko:

Bainisha sheria ya mzunguko.
Mzunguko wa +90° (digrii 90 kinyume na mwelekeo wa saa) kuhusu asili (0,0) hubadilisha pointi $(x, y)$ kuwa $(-y, x)$ .
Tumia sheria ya mzunguko kwa kila kipeo cha pembetatu.
- Kwa kipeo A(2, 1): $A' = (-1, 2)$
- Kwa kipeo B(4, 1): $B' = (-1, 4)$
- Kwa kipeo C(1, 6): $C' = (-6, 1)$
Andika kuratibu za picha.
Kuratibu za picha ya pembetatu A'B'C' ni:
$A'(-1, 2)$
$B'(-1, 4)$
$C'(-6, 1)$
Eleza jinsi ya kuchora pembetatu.
Ili kuchora pembetatu asilia na picha yake:
1. Chora mfumo wa kuratibu (x-axis na y-axis).
2. Weka pointi A(2, 1), B(4, 1), na C(1, 6) kwenye grafu na uziunganishe ili kuunda pembetatu ABC.
3. Weka pointi A'(-1, 2), B'(-1, 4), na C'(-6, 1) kwenye grafu hiyo hiyo na uziunganishe ili kuunda pembetatu A'B'C'.
Kuratibu za picha ya pembetatu baada ya mzunguko wa +90° ni:
$A'(-1, 2), B'(-1, 4), C'(-6, 1)$

A triangle is formed by the coordinates A (2, 1), B (4, 1) and C (1, 6). Draw the image of the triangle after rotation through +90°. Give the coordinates of A¹B¹C¹ (4mks)

Answer

Step-by-step solution

Bainisha sheria ya mzunguko.

Tumia sheria ya mzunguko kwa kila kipeo cha pembetatu.

Andika kuratibu za picha.

Eleza jinsi ya kuchora pembetatu.

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