Geometry PROOFS: Congruence, Similarity, Coordinate proofs (Unit 15)

Geometry PROOFS: Congruence, Similarity, Coordinate proofs (Geometry Curriculum in 5 min tasks - Unit 15)
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.
It contains:
-45 assessment tasks (A and B versions) + Keys w/solutions.
-List of addressed Standards
-58 pages
Topics Addressed:
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.
----more for Geometry CURRICULUM in 5-min TASKS here: -----
- 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)
------------------more for ERROR ANALYSIS TASKS here: -----
- 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
------------------ more for SUBSTITUTE TEACHERS GEOMETRY here:---------------------------------
- Geometry Bundle Word Search Substitute Teacher activity
------------------more for DIAGRAM LABELING & DECODING PRACTICE here: -----------
- Geometry Labeling Practice: Vocabulary To Diagrams_OR_Diagr. to Symb. to Vocab.
- Geometry Labeling Practice: Symbols To Diagrams_OR_Diagr. to Symb. to Vocab.
-------------------more for HS Math UNIT PLANS here:---------------------------------
- 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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