# How do you write a triangle congruence statement

For example: See Solving ASA Triangles to find out more If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent. What if you were told that? Using Congruence Statements Nearly any geometric shape -- including lines, circles and polygons -- can be congruent. Side- Side-Side SSS Using words: If 3 sides in one triangle are congruent to 3 sides of a second triangle, then the triangles are congruent. Abbreviations summarizing the statements are often used, with S standing for side length and A standing for angle.

### Congruence statement sas

Angle-Side-Angle ASA Using words: If two angle in one triangle are congruent to two angles of a second triangle, and also if the included sides are congruent, then the triangles are congruent. Order is Important for your Congruence Statement When making the actual congruence statement-- that is, for example, the statement that triangle ABC is congruent to triangle DEF-- the order of the points is very important. This is very different! Example C , what angle is congruent to? For example: is congruent to: See Pythagoras' Theorem to find out more If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent. Since the order of the letters in the congruence statement tells us which angles are congruent, because they are each the second of the three letters. How could you determine which side in is congruent to and which angle is congruent to?

Proof: This proof was left to reading and was not presented in class. For example: See Solving AAS Triangles to find out more If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Two triangles that feature two equal sides and one equal angle between them, SAS, are also congruent.

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