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

Answer: 60

Question 2: Construct an equilateral triangle with sides of 6 cm on the grid. How many centimeters long are each side?

Answer: 6

Question 3: In a pattern of overlapping equilateral triangles, each triangle shares a side with the next. If each side is 4 cm, what is the total length if 5 triangles are joined end-to-end?

Answer: 20

Question 4: Fluency & Practice: An artist designs a repeating pattern using equilateral triangles of side 3 cm. How many degrees are in each interior angle, and what is the sum of all interior angles in one triangle?

Answer: 60, 180

Question 5: Problem Solving & Reasoning: A decorative border uses a series of equilateral triangles with sides of 5 cm. If 8 triangles are joined end-to-end to form a zigzag pattern, what is the total length of the border?

Answer: 40

Question 6: In an art project, a pattern consists of equilateral triangles where each side is twice as long as the previous one. If the smallest triangle has sides of 2 cm, what is the length of the sides of the third triangle?

Answer: 8

Question 7: Challenge & Extension: Prove that the angles in an equilateral triangle are always 60 degrees using geometric reasoning.

Answer: Angles of 60° because all sides are equal and the angles opposite are equal, and the interior angles sum to 180°.

Question 8: Error Analysis: A student claims that in an equilateral triangle, the exterior angles are also 60°. Is this correct? Explain and correct the mistake.

Answer: No, exterior angles in an equilateral triangle are 120° because they supplement the interior angle of 60°.

Question 9: Mixed Review: Calculate the sum of the interior angles of 3 equilateral triangles joined together side by side.

Answer: 540

Question 10: Plot an equilateral triangle with side length 4 cm on the grid and mark all interior angles.

Answer: Each angle 60°

Question 11: Construct a pattern using equilateral triangles where each triangle shares a side with two others, forming a hexagonal shape. What is the total number of triangles used?

Answer: 6