General trapezoid
In general trapezoid VLAK, the following are given:
|VL| = 5.5 cm; |VK| = 3.5 cm; |LK| = 4.8 cm; |∠VLA| = 70°.
Divide it into two triangles by drawing a diagonal. Label the newly created points. Write down the lengths of the line segments. Complete the construction procedure and construct the trapezoid.
Procedure:
1. Draw VL, |VL| = 5.5 cm
2. Circle k₁, k₁(V, 3.5 cm)
3. Circle k₂, k₂(L, ? cm)
4. K = k₁ ∩ k₂
5. ∠VLX, |∠VLX| = 70°
6. Line p, p ∥ VK, K ∈ p
7. A = p ∩ ?
8. Complete the trapezoid.
|VL| = 5.5 cm; |VK| = 3.5 cm; |LK| = 4.8 cm; |∠VLA| = 70°.
Divide it into two triangles by drawing a diagonal. Label the newly created points. Write down the lengths of the line segments. Complete the construction procedure and construct the trapezoid.
Procedure:
1. Draw VL, |VL| = 5.5 cm
2. Circle k₁, k₁(V, 3.5 cm)
3. Circle k₂, k₂(L, ? cm)
4. K = k₁ ∩ k₂
5. ∠VLX, |∠VLX| = 70°
6. Line p, p ∥ VK, K ∈ p
7. A = p ∩ ?
8. Complete the trapezoid.
Final Answer:

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