Segment Bisector Worksheet
This worksheet focuses on understanding and applying the properties of segment bisectors in geometry, including midpoint calculations and algebraic applications.
Includes
Standards
Segment Bisector Worksheet
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. What is the definition of a segment bisector?
A line that intersects a segment at any point.
A line, segment, or ray that passes through the midpoint of a segment.
A line that is perpendicular to a segment.
A line that divides a segment into three equal parts.
2. If M is the midpoint of segment AB, and AM = 3x - 4 and MB = 2x + 1, what is the length of AB?
5
11
22
26
3. A segment bisector divides a segment into two segments.
4. The midpoint formula for a segment with endpoints (x1, y1) and (x2, y2) is ( , ).
5. Given segment PQ with endpoints P(-3, 5) and Q(7, -1). Find the coordinates of the midpoint M.
6. Line L bisects segment XY at point M. If XY = 18 cm, what is the length of XM?
7. Segment AB has a midpoint M. If A = (1, 6) and M = (4, 2), find the coordinates of point B.
8. A perpendicular bisector is always a segment bisector.
True
False
Related Worksheets
Grade 12 Math: Translations Worksheet
This worksheet focuses on understanding and applying translations in coordinate geometry for Grade 12 students.
Annulus Area Worksheet
Grade 12 Math worksheet on calculating the area of an annulus, including problems with different units and composite shapes.
Cavalieri's Principle Worksheet
Grade 12 Math worksheet on Cavalieri's Principle, exploring its application to calculate volumes of various solids.
Grade 12 Math: Triangular Prisms
This worksheet focuses on understanding and calculating properties of triangular prisms, including surface area and volume.
Slicing 3D Figures Worksheet
Explore the cross-sections of various three-dimensional figures with this Grade 12 Geometry worksheet.
Grade 12 Geometry: Parallel Line Proofs
Worksheet focusing on parallel line theorems and proofs, including alternate interior angles, corresponding angles, and consecutive interior angles.
Angle Pairs Worksheet
A Grade 12 math worksheet focusing on identifying and calculating various angle pairs, including complementary, supplementary, vertical, adjacent, corresponding, alternate interior, and alternate exterior angles.
Grade 12 Cartesian Coordinates Worksheet
A Grade 12 math worksheet focusing on advanced Cartesian coordinate concepts, including distance, midpoint, and geometric properties.