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1. Which of the figure(s) below are congruent to figure A?
1 and 4


2. Are these two figures congruent? Explain your answer.

These figures are not congruent. They are not the same size and they are not the same shape. Although their angles are all 90�, the line segments are not equal.  
3. Which of the following is not a reason two figures are congruent:
2. Same number of sides 
4. Which of the following figures may be congruent to figure below?
3. Right triangle of the same size


5. Explain why congruent figures have the same surface area.
Congruent figures have the same surface area because they are the exact same size. Congruent figures also have equal line segment lengths. This means that when you multiply the dimensions to find the area, the numbers will be the same. 
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Related Resources
The various resources listed below are aligned to the same standard, (8G02) taken from the CCSM (Common Core Standards For Mathematics) as the Geometry Worksheet shown above.
Understand that a twodimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
Example/Guidance
Similarity, Congruence and Transformations
Worksheet
Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:
Understand congruence and similarity using physical models, transparencies, or geometry software
 Congruence & Similarity: Dilations (From Example/Guidance)
 How To Find Missing Angles (From Example/Guidance)
 Similarity in Triangles (From Example/Guidance)
 Transformations & Coordinates (From Example/Guidance)
 Transformations (3Page) (From Worksheet)
 Transformations: Vector Translations (From Worksheet)
 Transformations: Rotations & Reflections (From Worksheet)
 Transformations: Calculating Coordinates (From Worksheet)
 Similar Figures (From Worksheet)
 Similar Triangles (From Worksheet)
 Missing Angles (3Page) (From Worksheet)
 180° in a Triangle Activity (2Page Cutting Out Activity) (From Worksheet)
 Finding Missing Angles (From Worksheet)
 360° in a Quadrilateral Activity (Activity: Cutting & Rearranging Corners) (From Worksheet)
 Similar Triangles (1 of 2) e.g. calculating scale factors and dimensions (From Worksheet)
 Similar Triangles (2 of 2) (From Worksheet)
 Dilations (Size Transformations) (From Worksheet)
 Similar Figures (From Worksheet)