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 
 SOL 4.11ab  a) investigate congruence of
plane figures after
transformations; b) recognize
images of figures from
transformations
 SOL 5.13ab  a) using plane figures will
develop definitions of plane figures;
b) investigate/describe results of
combining/subdividing plane figures
 SOL 7.6  determine similarity of plane
figures and write proportions to
express relationships between
similar quads and triangles
 SOL 8.10ab  a) verify the Pythagorean
Theorem; b) apply the Pythagorean
Theorem

Instructional Materials 
 VDOE Enhanced Scope and Sequence Lesson: Side to Side (PDF)  Determining congruence of geometric figures (Word)
 Notes: Congruent (flipchart)  39 slides:notes and interactive practice identifying congruent shapes
 Notes: Congruent Figures (flipchart)  8 slides: interactive practice and multiple choice questions
 Guided Notes: Congruence (flipchart)  notes and interactive practice problems
 VDOE Algebra Readiness Curriculum Companion: Classifying Angles (pdf)
 VDOE Algebra Readiness Curriculum Companion: Working with Polygons (pdf)

Real World Lessons 

Practice 
 Worksheet: Find Congruent Shapes (pdf)  10 different practice pages with 16 questions on identifying congruent shapes
 Worksheet: Congruent Figures (pdf)  16 questions including multiple choice questions

SOL Mini Quiz 
 SOL 6.14 Mini Quiz: Congruency (pdf)

Skills 

Videos 
 YouTube:
CPCTC  Corresponding Parts of Congruent Figures are Congruent

Explore
Learning 

Websites 
 Math Is Fun: Congruent Figures
 Study Jams: Congruent Figures
 Harcourt: Similar and Congruent Figures
 Math.com: Congruent Figures
 Carol's Congruent Concentration

VDOE Interventions 
 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)
 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 

