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Writing Proofs to show Congruence, Similarity and other properties of figures; Connecting Proofs to other units of Geometry / Daily Geometry Regents Prep with Quick Check tasks .

Track students’ progress consistently, efficiently and frequently with Daily Geometry Checkpoints / HS Geometry curriculum.

Solutions are included for these THREE Units on Proofs: Congruence, Similarity, Coordinate Proofs.

This collection of tasks is composed of performance indicators embedded in HS Geometry state assessments and is a good source of pre-tests, test-prep, quizzes, exit slips, bell-ringers.

It can be used as a workbook, homework practice, flipped classroom supplement.

-45 assessment tasks (A and B versions) + Keys w/solutions.

-List of addressed Standards

-58 pages

15.1_Basic proof of triangle ≅-ce (midpoint, sas).

15.2_Basic proof of triangle ≅-ce (⏊, sas).

15.3_Δ ≅-ce by SAS (vertical angles).

15.4_Δ ≅-ce by SAS /ASA (transversal and ⃦ lines; vertical angles; CPCTC).

15.5_Δ ≅-ce by SSS (coordinate proof).

15.6_Δ ≅-ce by SSS/SAS (example of Δ-s in a ʘ: Theorem “Central angles are ≅” is needed; CPCTC; ≅ implies =).

15.7_Δ ≅-ce by AAS/ASA (example of Δ-s in a ʘ; transversal and ⃦ lines; vertical angles; CPCTC).

15.8_Δ ∼-ty by AA/SAS (example of Δ-s in a ʘ: Theorem “Inscribed angles, intercepting the same arc are ≅” is needed; AA).

15.9_Δ ∼-ty by AA/SAS (example of Δ-s in a ʘ: transversal and ⃦ lines; vertical angles; AA).

*15.10_Prove that the original and its image after D-2 (D2) are similar (Theorem of similarity by corresponding sides in proportion is stated SSS∼SSS; coordinate prove)

18.1_Prove that the figure is a right Δ.

18.2_Prove that the figure is an isosceles Δ.

18.3_Prove that the figure is a parallelogram, but is neither a rectangle, nor a rhombus.

18.4_Prove that a parallelogram is a rectangle, but not a square.

18.5_Identify/Prove the exact type of a quadrilateral (right trapezoid).

18.6_Determine whether the figure is a parallelogram, using lengths of sides (review distance between two points).

18.7_Determine whether the parallelogram is a rectangle, using lengths of diagonals (review distance between two points).

18.8_Determine whether the parallelogram is a rectangle, using midpoints of its diagonals (review midpoints of segments).

18.9_Determine whether the parallelogram is a rectangle, using properties of its angles (review slopes of ⊥ lines).

18.10_Determine whether the figure is a parallelogram, using slopes (review slopes of ∥ lines).

18.11_Determine whether the figure is a parallelogram, using slopes and lengths on one pair of opposite sides ONLY (review slopes of ∥ lines, distance between two points).

18.12_Prove the original and its image after a reflection in a line are congruent (SSS).

*18.13_Prove that the original and its image after a given transformation, are similar. Simplifying radicals.

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- HS Geometry Curriculum in 5 min Tasks and Assessments (w/ Keys, Solutions)

- Geometry PreREQUISITES (Geometry Curriculum in 5 min tasks - Unit 1):

- Geometry FOUNDATIONS (Geometry Curriculum in 5 min tasks - Unit 2)

- SLOPE (Geometry Curriculum in 5 min tasks - Unit 3)

- CONSTRUCTIONS (Geometry Curriculum in 5 min tasks - Unit 4)

- DISTANCE (Geometry Curriculum in 5 min tasks - Unit 5)

- PERIMETER of Polygons (Geometry Curriculum in 5 min tasks - Unit 6)

- AREA of Polygons (Geometry Curriculum in 5 min tasks - Unit 7)

- MIDPOINT (Geometry Curriculum in 5 min tasks - Unit 8)

- SEGMENT PARTITION (Geometry Curriculum in 5 min tasks - Unit 9)

- TRIANGLE PROPERTIES: HS Geometry Curriculum Daily Assessments Unit 10)

- SPECIAL TRIANGLES (Geometry Curriculum in 5 min tasks - Unit 11)

- RIGHT TRIANGLES (Geometry Curriculum in 5 min tasks - Unit 12)

- SIMILARITY: Properties and Connections (Geometry Curriculum in 5 min tasks - Unit 13)

- SIMILARITY: Split-side Triangles (Geometry Curriculum in 5 min tasks - Unit 13)

- SIMILARITY: RIGHT TRIANGLES (Geometry Curriculum in 5 min tasks - Unit 13)

- TRIANGLE SIMILARITY (Geometry Curriculum in 5 min tasks - Unit 13)

- TRIANGLE CONGRUENCE CRITERIA (Geometry Curriculum in 5 min tasks - Unit 14)

- Geometry PROOFS:Similarity (Geometry Curriculum in 5 min tasks - Unit 15)

- GEOMETRY PROOFS (Geometry Curriculum in 5 min tasks - Unit 15)

- Geometry PROOFS: Congruence (Geometry Curriculum in 5 min tasks - Unit 15)

- PARALLELOGRAMS: Properties (Geometry Curriculum in 5 min tasks - Unit 16)

- TRAPEZOIDS: Properties (Geometry Curriculum in 5 min tasks - Unit 17)

- COORDINATE PROOFS (Geometry Curriculum in 5 min tasks - Unit 18)

- LINE REFLECTION (Geometry Curriculum in 5 min tasks - Unit 19)

- POINT REFLECTION (Geometry Curriculum in 5 min tasks - Unit 20)

- *FREE* TRANSLATION transformations (Geometry Curriculum in 5 min tasks - Unit 21)

- DILATION (Geometry Curriculum in 5 min tasks - Unit 22)

- DILATION of a line (Geometry Curriculum in 5 min tasks - Unit 23)

- IDENTIFYING TRANSFORMATIONS (Geometry Curriculum in 5 min tasks - Unit 24)

- FORMULA of CIRCLE (Geometry Curriculum in 5 min tasks - Unit 25)

- CIRCLES: Central and Inscribed Angles , Arcs (Geometry Curriculum - Unit 26)

- >CIRCLES: Arcs and Angles Formed by Tangents, Chords, Secants ( - Unit 27)

- CIRCLES: Segments and Arcs formed by Tangents, Chords, Secants ( - Unit 28)

- CIRCLES: Arc Length, Area of Sector (Geometry Curriculum - Unit 29)

- Volume of Solids_Cross-sections of 3D-figures (Geometry Curriculum -Unit 30)

- Volume Applications and Real Life Word Problems (Geometry Curriculum -Unit 31)

-Density and Volume Applications / Real Life Word Problems ( -Unit 32)

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- Error Analysis activity: Linear Inequality "Hidden Rule Identity"

- Error Analysis activity: Linear Equation: PRACTICE isolating the y

- Error Analysis activity: Simplifying Square Root Expressions Products vs Sums

- Error Analysis activity: Simplifying Radical Expressions STRATEGIES

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- Geometry Bundle Word Search Substitute Teacher activity

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- Geometry Labeling Practice: Vocabulary To Diagrams_OR_Diagr. to Symb. to Vocab.

- Geometry Labeling Practice: Symbols To Diagrams_OR_Diagr. to Symb. to Vocab.

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- HS Math Unit Plan: Radical Expressions for Algebra, Geometry, Math Review Class

- HS Geometry Unit Plan: Basic terms and Relationships of Geometry

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Total Pages

58 pages

Answer Key

Included

Teaching Duration

N/A