Course 1 Online!
Henrico County Public Schools, Virginia
Number and Number Sense

Computation and Estimation

Measurement and Geometry

Probability, Statistics, Patterns, Functions, and Algebra

SOL Review Materials
Geometry
Focus: Properties and Relationships


The student will determine congruence of segments, angles, and polygons. 
Essential Knowledge and Skills
  • Characterize polygons as congruent and noncongruent according to the measures of their sides and angles.
  • Determine the congruence of segments, angles, and polygons given their attributes.
  • Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving practical and mathematical problems.†Revised March 2011
Essential Understandings
  • Given two congruent figures, what inferences can be drawn about how the figures are related?The congruent figures will have exactly the same size and shape.
  • Given two congruent polygons, what inferences can be drawn about how the polygons are related? Corresponding angles of congruent polygons will have the same measure. Corresponding sides of congruent polygons will have the same measure.
Vertical Articulation
  1. SOL 4.11ab - a) investigate congruence of plane figures after transformations; b) recognize images of figures from
    transformations
  2. SOL 5.13ab - a) using plane figures will develop definitions of plane figures; b) investigate/describe results of combining/subdividing plane figures
  3. SOL 7.6 - determine similarity of plane figures and write proportions to express relationships between similar quads and triangles
  4. SOL 8.10ab - a) verify the Pythagorean Theorem; b) apply the Pythagorean Theorem
Instructional Materials
  1. VDOE Enhanced Scope and Sequence Lesson: Side to Side (PDF) - Determining congruence of geometric figures (Word)
  2. Notes: Congruent (flipchart) - 39 slides:notes and interactive practice identifying congruent shapes
  3. Notes: Congruent Figures (flipchart) - 8 slides: interactive practice and multiple choice questions
  4. Guided Notes: Congruence (flipchart) - notes and interactive practice problems
  5. VDOE Algebra Readiness Curriculum Companion: Classifying Angles (pdf)
  6. VDOE Algebra Readiness Curriculum Companion: Working with Polygons (pdf)
Real World Lessons
Practice
  1. Worksheet: Find Congruent Shapes (pdf) - 10 different practice pages with 16 questions on identifying congruent shapes
  2. Worksheet: Congruent Figures (pdf) - 16 questions including multiple choice questions
SOL Mini Quiz
  1. SOL 6.14 Mini Quiz: Congruency (pdf)
Skills
Videos
  1. YouTube: CPCTC - Corresponding Parts of Congruent Figures are Congruent
Explore Learning
Websites
  1. Math Is Fun: Congruent Figures
  2. Study Jams: Congruent Figures
  3. Harcourt: Similar and Congruent Figures
  4. Math.com: Congruent Figures
  5. Carol's Congruent Concentration
VDOE Interventions
  1. VDOE Algebra Readiness Curriculum Companion: Classifying Angles - The lessons focus on estimating, measuring, and classifying angles and triangles, identifying congruence and noncongruence, investigating complimentary, supplementary, and vertical angles. (pdf)
  2. VDOE Algebra Readiness Curriculum Companion: Working with Polygons - The lessons focus on identifying, classifying, describing, and comparing plane figures. Students determine similarity and congruence of figures and work with transformations.(pdf)
Common Core Standards
6.G.3
G-CO.1