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Question 1 of 10
1. Question
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Points A and B are 8 cm apart. Construct the positions of a point P which is 3.5 cm from A and 6.3 cm from B. How many possible positions for P are there? Measure the distance between them.
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Question 2 of 10
2. Question
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EF and GH are two intersecting straight lines. Show how to construct the position of a point Q which is 2.5 cm from EF and 3.8 cm from GH. How many possible positions for Q are there?
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Question 3 of 10
3. Question
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A ship is 30 m from a straight coastline and 45 m from a lighthouse on the edge of the coast. By scale drawing, construct two possible positions of the ship. Measure the distance between them.
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Question 4 of 10
4. Question
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C and D are two fixed points 5 cm apart. A circle is drawn with center D and radius 3 cm. Construct the positions of points which are equidistant from C and D, and 2 cm from the circumference of the circle. Measure the distance between them.
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Question 5 of 10
5. Question
Construct a triangle XYZ with XY = 8 cm, YZ = 6 cm, and XZ = 7 cm. Construct the locus of points inside the triangle that are equidistant from XY and YZ. Also, construct the locus of points inside the triangle that are 2 cm away from XZ. Mark the point(s) of intersection of the two loci as P. Measure the distance(s) XP.
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Grading can be reviewed and adjusted.Grading can be reviewed and adjusted. -
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Question 6 of 10
6. Question
Two parallel lines AB and CD are 4 cm apart. Construct the locus of a point that is equidistant from AB and CD. Also, construct the locus of a point that is 3 cm from AB. How many points satisfy both conditions?
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Question 7 of 10
7. Question
Construct a circle with center O and radius 4 cm. Mark a point P 6 cm away from O. Construct the tangents from P to the circle. Measure the length of each tangent and the angle between them.
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Question 8 of 10
8. Question
Construct a square ABCD with side length 5 cm. Construct the locus of points inside the square which are equidistant from AB and BC. Also construct the locus of points inside the square which are 2 cm from D. Mark the point(s) of intersection of the two loci as Q. Measure the distance(s) AQ.
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Question 9 of 10
9. Question
Construct an angle of 60 degrees. On one arm of the angle, mark a point A 5 cm from the vertex. Construct the locus of points that are 4 cm from A and also 3 cm from the other arm of the angle. How many such points exist?
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Grading can be reviewed and adjusted.Grading can be reviewed and adjusted. -
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Question 10 of 10
10. Question
Two circles with centers P and Q and radii 3 cm and 2 cm respectively intersect at points A and B. Construct the locus of points equidistant from the two circles. Also construct the perpendicular bisector of PQ. Mark the point(s) of intersection of the two loci as R. Measure the distance(s) PR.
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This response will be reviewed and graded after submission.
Grading can be reviewed and adjusted.Grading can be reviewed and adjusted. -