Question 1: What is the measure of each interior angle in an equilateral triangle?

Answer: 60

Question 2: If each side of an equilateral triangle measures 8 cm, what is its perimeter?

Answer: 24

Question 3: Construct an equilateral triangle with sides of length 5 units on the grid.

Answer: Student draws an equilateral triangle with sides 5 units each.

Question 4: Calculate the height of an equilateral triangle with side length 10 cm.

Answer: 5√3

Question 5: What is the sum of the interior angles of any equilateral triangle?

Answer: 180

Question 6: In a real-world scenario, a teacher designs a classroom poster in the shape of an equilateral triangle. If each side measures 12 inches, what is the area of the triangle? (Use the formula for area: (√3/4) × side²)

Answer: (√3/4) × 12²

Question 7: Identify the common mistake: A student says the sum of all interior angles in an equilateral triangle is 360°. Is this correct? Explain or correct the statement.

Answer: No, the sum of interior angles in any triangle is 180°. For equilateral, each angle is 60°.

Question 8: Calculate the length of the side of an equilateral triangle if its height is 9√3 cm.

Answer: 12

Question 9: Challenge: Construct an equilateral triangle with a side length of 7 units and reflect on its symmetry properties. Describe your observations.

Answer: Student describes line of symmetry and rotational symmetry at 120°.

Question 10: A triangle has two equal sides measuring 9 cm each, and the included angle between them is 60°. Is this triangle equilateral? Why or why not?

Answer: No, because the third side length is not necessarily 9 cm; the triangle is isosceles, not necessarily equilateral.