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Construct a 90° angle from a line p g which is 7 centimetres. From the angle byset it to get 45 centimetres.
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Step-by-step solution
9 stepsHere are the steps to construct a angle and then bisect it to get a angle:
1. Construct a angle from a line PQ which is 7 centimetres.
Draw a line segment.
Draw a straight line segment PQ that is 7 cm long.
Mark a point.
Choose a point R on the line segment PQ. For simplicity, you can choose R to be at one end (e.g., P) or anywhere along the line. Let's assume you want to construct the angle at point R.
Draw an arc.
Place the compass needle at point R and draw an arc that intersects the line PQ at two points. Let's call these points A and B.
Draw intersecting arcs.
With the compass needle at point A, open the compass to a radius greater than half the distance between A and B. Draw an arc above the line PQ. Without changing the compass radius, place the needle at point B and draw another arc that intersects the first arc. Let's call the intersection point C.
Draw the perpendicular line.
Draw a straight line from point R through point C. This line will be perpendicular to PQ, forming a angle at R.
2. From the angle bisect it to get 45 degrees.
Identify the angle to bisect.
You have constructed a angle, let's say . You need to bisect this angle.
Draw an arc.
Place the compass needle at point R (the vertex of the angle). Draw an arc that intersects both arms of the angle (RC and RQ). Let's call the intersection points D on RC and E on RQ.
Draw intersecting arcs.
With the compass needle at point D, open the compass to a radius greater than half the distance between D and E. Draw an arc inside the angle. Without changing the compass radius, place the needle at point E and draw another arc that intersects the first arc. Let's call the intersection point F.
Draw the angle bisector.
Draw a straight line from point R through point F. This line RF bisects the angle, creating two angles ( and ).
You have now constructed a angle and then bisected it to get a angle.
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