How to write a congruence statement for polygons

Vocabulary To be congruent means to be the same size and shape. For example, if we know that and are congruent then we know that: Notice that the congruent sides also line up within the congruence statement.

Line up the corresponding angles in the triangles:and Therefore, one possible congruence statement is Example B Ifwhat else do you know? Abbreviations summarizing the statements are often used, with S standing for side length and A standing for angle. When it comes to congruence statements, however, the examination of triangles is especially common.

For example, we can also write as: Write a congruence statement for the two triangles below. We can also write this congruence statement five other ways, as long as the congruent angles match up.

congruence statement definition

From this congruence statement, we know three pairs of angles and three pairs of sides are congruent. After completing this Concept, you'll be able to state which sides and angles are congruent in congruent triangles.

Of course, HA is the same as AAS, since one side, the hypotenuse, and two angles, the right angle and the acute angle, are known. Updated April 24, By Kathryn Vera When it comes to the study of geometry, precision and specificity is key.

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Congruence Statements