Geometry Digi Table of Contents
First Semester Targets
Basics of Geometry
A Use the definitions of points, lines, and planes to solve problems
B Determine and use midpoints, lengths of segments, and segment bisectors
C Apply properties of angles and angle bisectors to solve problems
D Solve angle pair relationship problems
E Write conditional and converse statements
F Make conclusions using geometric properties
G Write proofs or logical arguments involving segment and angle pair relationships
Parallel & Perpendicular Lines
A Identify skew lines, parallel lines, perpendicular lines, and parallel planes
B Identify and apply properties of angles formed by a transversal and parallel lines
C Write proofs involving parallel lines
D Write equations of parallel and perpendicular lines
Transformations
A Create and use the properties of translations
B Create and use the properties of reflections
C Create and use the properties of rotations
D Create and use properties of compositions of transformations
Congruent Triangles
A Classify and apply properties of triangles
B Apply properties of isosceles and equilateral triangles
C Determine congruent polygons using transformations
D Prove triangles are congruent
E Write proofs involving congruent triangles
F Prove triangles congruent on the coordinate plane
Concurrency
A Identify and apply properties of midsegments
B Identify and apply properties of perpendicular bisectors, angle bisectors, medians, and altitudes
C Determine points of concurrency and apply their properties
D Apply triangle inequalities in triangles
Circles
A Apply angle properties in a circle to solve problems
B Apply segment properties in a circle to solve problems
C Write an equation of a circle
D Determine and apply arc length of a circle
E Determine and apply area of a sector
F Apply radian measure to similarity of circles
Second Semester Targets
Similar Triangles
A Dilate a figure and perform similarity transformations
B Justify whether or not two polygons are similar
C Use proportions and scale factors for similar figures
D Solve application problems using the properties of similar triangles
Right Triangles
A Use Pythagorean Inequality Theorem to classify triangles
B Solve right triangles using similarity
C Solve right triangles using trigonometry
D Solve application problems using trigonometry
E Solve for missing angles using inverse trigonometry
F Solve special right triangles
Quadrilaterals
A Apply properties of parallelograms
B Apply properties of trapezoids and kites
C Prove quadrilaterals are parallelograms
D Identify the type of quadrilateral
2-D Figures
A Classify polygons given their properties
B Calculate areas of triangles and quadrilaterals
C Calculate area of regular polygons
3-D Figures
A Classify 3-D figures given their properties
B Calculate surface area
C Calculate volume
D Determine lengths of 3-D figures
E Compare efficiency of 3-D figures
F Analyze solids of revolution and cross sections of 3-D figures
Non-Euclidean
A Compare Euclid's Postulates in a Spherical Environment
B Compare Rules Between Euclidean and Spherical Polygons
C Compare Euclid's Postulates in a Hyperbolic Environment
D Compare Rules Between Euclidean and Hyperbolic Polygons