- For problem 1, use the SSS (Side-Side-Side) construction method: draw side BC = 6 cm, then draw arcs from B and C with radii 4 cm and 5 cm respectively; their intersection is point A.
- For problem 2, apply SSS: draw PQ = 5.8 cm, then arcs from P and Q with radii 4.5 cm and 6.5 cm; their intersection gives R.
- For problem 3, use SSS for isosceles triangle LMN: draw base MN = 7 cm, then arcs from M and N with radius 5.5 cm; their intersection is L.
- For problem 4, use ASA (Angle-Side-Angle): draw side TU = 7.5 cm, construct ∠T = 60° at T and ∠U = 70° at U; the rays intersect at S.
- For problem 5, use ASA or SAS for right triangle: draw CB = 5 cm, construct ∠C = 90°, then ∠B = 45°; the ray from B intersects the perpendicular at A.
- For problem 6, use SAS for right triangle: draw XY = 5 cm, construct ∠Y = 90°, then mark Z on the perpendicular such that YZ = 7 cm; connect X and Z.
- For problem 7, all angles in an equilateral triangle are 60°, so each angle measures 60°.
- For problem 8, use ASA: draw AB = 5 cm, construct ∠A = 40° at A and ∠B = 50° at B; the rays intersect at C.
- For problem 9, apply SSS: draw IJ = 5 cm, then arcs from I and J with radii 6 cm and 5.5 cm; their intersection is K.
- For problem 10, use SSS for isosceles triangle: draw BC = 9 cm, then arcs from B and C with radius 7.2 cm; their intersection is A.
Parent Tip: Review the logic above to help your child master the concept of constructing triangles worksheet.
