Question 1: Using a compass, construct the bisector of an angle measuring approximately 50°. Record the steps you used.

Answer: Constructed bisector by drawing arcs from each side and connecting intersection points.

Question 2: Construct an equilateral triangle with side length 6 cm on the grid. Show your construction process.

Answer: Equilateral triangle with all sides 6 cm, using compass for arcs and intersections.

Question 3: Construct the bisector of a given angle in a medical device calibration context, where precise angle division is essential.

Answer: Step-by-step compass construction ensuring accurate bisector for precise angle measurement.

Question 4: Plot a circle with radius 4 cm centered at a point representing a medical sensor, then construct the bisector of the angle formed by two intersecting circles.

Answer: Constructed circles and angle bisector accurately, demonstrating understanding of compass intersections.

Question 5: Construct the bisector of an angle that is approximately 70°, used in designing a medical infusion device to ensure correct flow angles.

Answer: Bisector constructed by arcs from angle vertex, intersecting on each side, then connecting the intersection points.

Question 6: In a scenario where a nurse needs to split a 90° angle into two equal parts for an injection angle, demonstrate the compass steps.

Answer: Draw arcs from the vertex, intersecting both sides, and connect intersection points to form the bisector.

Question 7: Construct an inscribed angle in a circle with radius 5 cm, and then construct its bisector.

Answer: Construct circle, inscribed angle, then bisector by arcs from the angle vertex.

Question 8: A medical device requires two angles to be bisected precisely for proper fitting. Construct these angles with the given approximate measurements and bisectors.

Answer: Use compass to mark arcs, intersections, and connect to create accurate bisectors for both angles.

Question 9: Construct a triangle with sides of 7 cm, 5 cm, and 8 cm. Then, bisect the largest angle.

Answer: Construct triangle with given sides, then use compass arcs to bisect the largest angle.

Question 10: Describe a common mistake when constructing an angle bisector with a compass and how to avoid it.

Answer: Mistake: not maintaining the same compass width. To avoid, ensure compass width is fixed and arcs intersect correctly.

Question 11: Construct a pair of intersecting circles with radii 3 cm and 4 cm, then construct the angle bisector of the angle formed at their intersection point. Explain your steps.

Answer: Draw circles, find intersection points, then construct the bisector of the resulting angle via arcs and connecting points.