Exercise
Form 14: Geometric Ruler and Compass Constructions
Practice precise geometric constructions using a ruler and a compass. Apply these tools to construct various triangles accurately from given measurements.
Questions
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MultiChoice
When constructing a triangle with given side lengths using a straightedge and compass, what is the role of the compass?
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MultiChoice
What is the primary purpose of a straightedge (unmarked ruler) in geometric construction?
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MultiChoice
When constructing the perpendicular bisector of a side segment during triangle construction, where do the two compass arcs centered at endpoints intersect?
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MultiChoice
To copy a given angle during ASA triangle construction, what compass operation is performed first?
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MultiChoice
In constructing a triangle with SSS (sides 4 cm, 6 cm, 7 cm), after drawing the 7 cm base AB, you open the compass to 4 cm and draw an arc centered at A. What is the next compass step?
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MultiChoice
Why are classical geometric constructions performed using ONLY an unmarked straightedge and compass?
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MultiChoice
When bisecting an angle in a triangle construction, how many arc intersections are used to locate the angle bisector ray?
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MultiChoice
When constructing a line segment equal in length to a given segment AB using a compass, what do you do?
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MultiChoice
Which tool is used to draw an arc of a specified radius when constructing triangles?
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MultiChoice
In geometric construction, what does the intersection point of two arcs represent?
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MultiChoice
To construct a 60° angle at a point on a line using only a compass and straightedge, what shape's construction is implicitly used?
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MultiChoice
Can a protractor be used in standard Euclidean straightedge-and-compass construction?