Congruence Worksheet (1 of 3)

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1. Which of the figure(s) below are congruent to figure A? arrow shape

four arrow shapes    1 and 4    


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

two rectangles


   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:

  1. Same shape
  2. Same number of sides
  3. Same angle measurements
  4. Equal line segments

   2. Same number of sides    

4. Which of the following figures may be congruent to figure below?


  1. Square of the same size
  2. Equilateral triangle
  3. Right triangle of the same size
  4. Right triangle of a greater size

   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 two-dimensional 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.


Similarity, Congruence and Transformations


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