Geometry · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
2. What is the next step after drawing arcs when constructing a perpendicular bisector?
- ADraw a line through the intersection points
- BErase the arcs
- CMeasure the distance
- DDraw a circle
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Answer: A) Draw a line through the intersection points
After drawing arcs, you connect the intersection points to form the perpendicular bisector.
3. Which statement about a line and a line segment is CORRECT?
- AA line has two endpoints and a line segment has none
- BA line segment has two endpoints and a line extends endlessly in both directions
- CBoth a line and a line segment have a fixed length
- DA line segment can be extended endlessly
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Answer: B) A line segment has two endpoints and a line extends endlessly in both directions
A line segment has two fixed endpoints and a definite length, while a line goes on without end in both directions.
5. Madhu marks two points 6 cm apart and draws arcs of radius 4 cm from each point on the same side. Will the two arcs intersect?
- AYes, because each radius is more than half of 6 cm
- BNo, because the radius is less than 6 cm
- CNo, because arcs never meet
- DYes, but only if a protractor is used
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Answer: A) Yes, because each radius is more than half of 6 cm
Half of 6 cm is 3 cm, and the radius 4 cm is greater than 3 cm, so the arcs from both points overlap and intersect.