Constructions, Loci and Bearings Quiz
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5 questions, one answer each
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1. Which of the following is the correct first step when constructing the perpendicular bisector of a line segment AB using a ruler and compass?
- A. Place the compass point at A and draw an arc with radius greater than half AB
- B. Draw a line perpendicular to AB at point A
- C. Measure the midpoint of AB with a ruler
- D. Place the compass point at the midpoint and draw a circle
2. A bearing of 240° means the direction is:
- A. 240° clockwise from north
- B. 240° anticlockwise from north
- C. South-west at exactly 45°
- D. West by south-west
3. A map has a scale of 1:50,000. If a distance on the map is 4 cm, what is the actual distance on the ground?
- A. 200 m
- B. 2 km
- C. 20 km
- D. 200 km
4. A locus is defined as the region where the distance from point P is at most 5 cm AND the distance from point Q is at least 3 cm. This type of problem requires:
- A. Only a single perpendicular bisector construction
- B. Only two circles drawn from points P and Q
- C. Drawing circles and finding the intersection of two conditions to identify the region
- D. A scale drawing and three-figure bearing measurement
5. When constructing an angle bisector of angle ABC using compass and ruler, after drawing arcs from B that intersect sides BA and BC, your next step should be to:
- A. Measure the angle with a protractor and divide by 2
- B. Draw arcs from the two intersection points that intersect each other, then draw a line from B through this intersection
- C. Connect the two intersection points with a straight line
- D. Draw a perpendicular line from B to the opposite side