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## Geometry Course

PROGRESSIVE MATHEMATICS INITIATIVE® (PMI®)

This is our newly revised High School Geometry Course that is aligned to the Common Core. All of the released PARCC Sample Questions are also embedded directly into the presentations. The 2014-2015 course is archived. You can get to that course by clicking this link.

Thank you to those who contribute to our ongoing cycle of improvement. Top contributors:
Suzanne Nichols-Salazar - Perth Amboy, NJ
Ruth Tocco - Haddon Heights, NJ
Angela Slaterpryce - Schroon Lake, NY

## Units (select a unit)

• ###### Points, Lines, and Planes
Intro to Geometry
Points & Lines
Planes
Congruence, Distance & Length
Constructions & Loci
• ###### Angles
Angles
Congruent Angles
Protractors
Special Angle Pairs
Introduction to Proofs
Proofs Special Angles
Angle Bisectors
Locus & Angle Constructions
Angle Bisectors & Constructions
• ###### Parallel Lines
Lines: Intersecting, Parallel & Skew
Lines & Transversals
Parallel Lines & Proofs
Properties of Parallel Lines
Constructing Parallel Lines
• ###### Triangles
Triangles
Triangle Sum Theorem
Exterior Angle Theorem
Inequalities in Triangles
Similar Triangles
- AA~
- SSS~
- SAS~
• ###### Similar Triangles & Trigonometry
Problem Solving w/ Similar Triangles
Similar Triangles & Trigonometry
Trigonometric Ratios
Inverse Trigonometric Ratios
Review of the Pythagorean Theorem
Converse of the Pythagorean Theorem
Special Right Triangles
• ###### Congruent Triangles
Congruent Triangles
Proving Congruence: SSS
Proving Congruence: SAS
Proving Congruence ASA
Proving Congruence AAS
Proving Congruence HL
Triangle Congruence Proofs
CPCTC
Isosceles Triangle Theorem
• ###### Circles
Parts of a Circle
Central Angles & Arcs
Chords, Inscribed Angles & Triangles
Tangents & Secants
Segments and Circles
• ###### Analytic Geometry
Origin of Analytic Geometry
Distance Formula
Midpoint Formula
Partitions of a Line Segment
Slopes of Parallel & Perpendicular Lines
Eq of Parallel & Perpendicular Lines
Triangle Coordinate Proofs
Equation of a Circle & Completing the Square
• ###### Transformations
Transformations
Translations
Reflections
Rotations
Identifying Symmetry w/ Transformations
Composition of Transformations
Congruence Transformations
Dilations
Similarity Transformations
Polygons
Properties of Parallelograms
Rhombi, Rectangles & Squares
Trapezoids
Kites
Proofs
Coordinate Proofs
• ###### Area of Figures
Area of Rectangles
Area of Triangles
Law of Sines
Area of Parallelograms
Area of Regular Polygons
Area of Circles & Sectors
Area and Perimeter of Figures in the Coordinate Plane
• ###### 3D Geometry
Intro to 3-D solids
Views & Drawings of 3-D Solids
Surface Area of Prisms, Cylinders, Pyramids & Cones
Volume of Prisms Prisms, Cylinders, Pyramids & Cones
Surface Area & Volume of Spheres
Cavalieri’s Principle
Similar Solids
• ###### Probability
Probability of Simple Events
Probability & Length
Probability & Area

## Resources

```Hi! I was wondering on the Circles Unit Review Extended Response #1 part c, if there should be more information given or if the answer is wrong. I, along with my students, are very curious about it. Thanks!
Deb Yoast```
```Dear Deb Yoast,

Thank you for your comment. Enough information was given in the problem to solve it. However, the solution was incorrect and has been updated to read AT = 16. Please download an updated copy of the Circles CW-HW file at your convenience. Please let me know if more information is needed or any questions arise.

Kind regards,

Audra```
`One more question on the same problem, the problem gives that AB = 25; shouldn&amp;amp;#x27;t it be (21 sq. root 2) since the 2 hypotenuses are 16 sqrt 2 and 5 sqrt 2? And actually the length of AB is not needed to solve the problem.`
```Dear Deb Yoast,

Thank you for your comment. Yes, the length of segment AB being 25 was incorrect. Since it is not required when finding the solution to the problem, its length has been removed. Please download an updated copy of the file at your earliest convenience. Please let me know if more information is needed or any questions arise.

Kind regards,

Audra```
Christine Kim (NJ K12 MATH-E 23-24) • 1 year, 1 month agologin to reply
`I have noticed that some answers in formative assessments in geometry are wrong. I just ran into one of them in module 8 topic 2. The distance between the two points was square root of 34 but it says it is wrong.`
```Hi, Christine,

Thank you for your comment, and for providing details via email. The solution to this formative assessment question has been updated in the online course.

Kind regards,

Audra```
`Hello! The Quadrilaterals Unit Test on #8 is missing the picture of the trapezoid. Thanks!`
```Dear Deb Yoast,