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Lessons for Grade 8
Examples, solutions, videos, worksheets, stories and songs to help Grade 8 students learn about congruence and congruent figures.
Congruent Figures
In geometry, congruent figures are shapes that are identical in both shape and size. If two figures are congruent, it means you could theoretically pick up one figure and place it perfectly on top of the other, and they would match up exactly.
The symbol for congruence is “≅”
The following diagram gives the definition and explanation for congruent figures. Scroll down the page for more examples and solutions.
Geometry Worksheets
Practice your skills with the following worksheets:
Printable & Online Geometry Worksheets
Define Congruent Figures
Congruent Figures: Transformations
Triangle Congruence
Key Characteristics of Congruent Figures:
For General Polygons:
To prove that two polygons are congruent, you must show that all corresponding sides are equal in length AND all corresponding interior angles are equal in measure. This can be a lengthy process for polygons with many sides.
For Triangles (Congruence Postulates/Theorems):
Triangles are special because we have shortcuts (postulates or theorems) that allow us to prove congruence by only knowing certain combinations of sides and angles, rather than all six corresponding parts.
Here are the five common ways to prove triangle congruence:
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