Perpendicular Bisectors Worksheet
Grade 9 Math worksheet focusing on understanding and constructing perpendicular bisectors, their properties, and applications in geometry.
Includes
Standards
Topics
Perpendicular Bisectors
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for construction problems.
1. What property does every point on a perpendicular bisector of a segment have?
It is equidistant from the endpoints of the segment.
It is parallel to the segment.
It divides the segment into a 1:2 ratio.
It forms an acute angle with the segment.
2. A perpendicular bisector of a segment is a line, ray, or segment that is to the segment and passes through its .
3. Using only a compass and straightedge, construct the perpendicular bisector of the segment AB below. Clearly show all construction marks.
4. If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
True
False
5. A line segment has endpoints at A(1, 2) and B(7, 6). What is the equation of the perpendicular bisector of segment AB?
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.
Grade 9 Geometric Constructions Worksheet
A Grade 9 math worksheet focusing on geometric constructions using a compass and straightedge, covering bisectors, perpendiculars, and angles.
Finding Quadrant of an Angle
Identify the quadrant of angles in standard position and understand angle measurement in a coordinate plane.