iGCSE Mathematics (0580) - C4.2 Geometrical constructions- Exam Style Questions Paper 3- New Syllabus
▶️ Answer/Explanation
(a)
Simply measure the line with a ruler as printed on the standard exam paper.
✅ Answer: $4.7$ cm
(b)
Use a compass or protractor to draw a line exactly at $90^\circ$ to the given line AB.
✅ Answer: Perpendicular line drawn
▶️ Answer/Explanation
To construct the triangle accurately, set your compass width to exactly $6.4 \text{ cm}$ using a ruler, place the point on vertex A, and draw an arc above the line.
Next, adjust your compass width to exactly $5.3 \text{ cm}$, place the sharp point on vertex B, and draw a second arc that crosses the first one.
Label the exact point where these two geometric arcs intersect as vertex C.
Finally, use your ruler to draw straight lines connecting point A to C and point B to C to complete the triangle shape.
✅ Answer: Correct triangle drawn with intersecting construction arcs left visible
Next, adjust your compass width to exactly $5.3 \text{ cm}$, place the sharp point on vertex B, and draw a second arc that crosses the first one.
Label the exact point where these two geometric arcs intersect as vertex C.
Finally, use your ruler to draw straight lines connecting point A to C and point B to C to complete the triangle shape.
✅ Answer: Correct triangle drawn with intersecting construction arcs left visible