GEOM.MATH.5.B
Construct congruent segments, congruent angles, a segment bisector, an angle bisector, perpendicular lines, the perpendicular bisector of a line segment, and a line parallel to a given line through a point not on a line using a compass and a straightedge.
Geometry · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
congruent segmentscongruent anglessegment bisectorangle bisectorperpendicular linesperpendicular bisectorline segmentline parallelgiven linepoint not on a linecompassstraightedge
Skills
- construct (congruent segments) #dok2
- construct (congruent angles) #dok2
- construct (segment bisector) #dok2
- construct (angle bisector) #dok2
- construct (perpendicular lines) #dok2
- construct (perpendicular bisector of a line segment) #dok2
- construct (line parallel to a given line through a point not on the line) #dok2
Learning Targets
- I can identify and name geometric constructions. #dok1
- I can recognize the tools required for geometric constructions (compass, straightedge). #dok1
- I can draw and construct congruent segments using a compass and straightedge. #dok2
- I can draw and construct congruent angles using a compass and straightedge. #dok2
- I can bisect a segment using compass and straightedge. #dok2
- I can bisect an angle using compass and straightedge. #dok2
- I can construct perpendicular lines and perpendicular bisectors using compass and straightedge. #dok2
- I can construct a line parallel to a given line through a point not on the line using compass and straightedge. #dok2
- I can explain each step of a geometric construction and justify why the construction works. #dok3
- I can analyze and compare different methods for geometric constructions. #dok3
Big Ideas
- Geometric constructions use only a compass and straightedge to create precise geometric figures and relationships.
- Mastering constructions strengthens understanding of fundamental geometric concepts, relationships, and logical reasoning.
Essential Questions
- Why are geometric constructions important in understanding geometry?
- How can you use a compass and straightedge to construct congruent segments or angles?
- What steps are necessary to construct a perpendicular bisector or angle bisector?
- How can you construct a line parallel to a given line through a specific point?
- What reasoning or justifications can you give for the methods used in each geometric construction?