Geometric Constructions Worksheet
A Grade 10 math worksheet focusing on fundamental geometric constructions using a compass and straightedge.
Includes
Standards
Topics
Geometric Constructions
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Read each question carefully and perform the required geometric constructions using only a compass and straightedge. Show all construction marks clearly.
1. Construct the perpendicular bisector of the line segment AB shown below. Label the midpoint M and the perpendicular bisector line L.
2. Construct the bisector of angle PQR shown below. Label the bisector ray QS.
3. Construct a line perpendicular to line M passing through point C, as shown below.
4. Construct a line parallel to line N passing through point D, as shown below.
5. Which tool is NOT allowed in Euclidean geometric constructions?
Compass
Straightedge
Protractor
Pencil
6. A is used to draw circles and arcs in geometric constructions.
7. A is used to draw straight lines, but not to measure lengths.
8. Construct an equilateral triangle with side length equal to the segment shown below.