Grade 9 Geometric Constructions Worksheet
A Grade 9 math worksheet focusing on geometric constructions using a compass and straightedge, covering bisectors, perpendiculars, and angles.
Includes
Standards
Topics
Geometric Constructions
Name:
Date:
Score:
Read each question carefully and follow the instructions to perform the geometric constructions using only a compass and straightedge. Show all your construction marks.
1. Construct the perpendicular bisector of the line segment AB below.
2. Construct the bisector of angle PQR below.
3. A compass is used to draw and to measure the between two points.
4. A straightedge is used to draw lines, but it cannot be used to measure .
5. It is possible to trisect any angle using only a compass and straightedge.
True
False
6. A perpendicular bisector of a line segment divides the segment into two congruent parts.
True
False
7. Construct a line perpendicular to line L that passes through point P.
8. Construct an equilateral triangle with side length equal to the segment CD below.
Related Worksheets
Arcs and Sectors Geometry Worksheet
A Grade 9 math worksheet focusing on calculating arc length, sector area, and related properties of circles.
Grade 9 Math: Coordinate Proofs
This worksheet focuses on coordinate proofs, including proving geometric properties on a coordinate plane, calculating distances, midpoints, and slopes.
Grade 9 Math: Geometric Translations
A worksheet covering geometric translations on the coordinate plane for Grade 9 students, including identifying translations, applying translation rules, and determining translation vectors.
Corresponding Parts in Geometry
Grade 9 worksheet on identifying and using corresponding parts of congruent figures, including triangles and polygons.
Midsegment of a Trapezoid Worksheet
This worksheet focuses on understanding and applying the midsegment theorem for trapezoids, including calculating lengths and solving for unknown variables.
Finding Quadrant of an Angle
Identify the quadrant of angles in standard position and understand angle measurement in a coordinate plane.