Congruent Triangles Quiz Review Exam with verified solutions 2024

SSS Three sides of one triangle are congruent to three sides of another triangle. SAS Two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle. ASA Two angles and the included side of one triangle are congruent to two triangles and the included side of another triangle. AAS Two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle. HL The hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle. Line of Symmetry A line that divides a figure into two equal reflections of each other. If you fold the figure over this line, it will lie exactly on top of itself. Corresponding parts of congruent triangles are congruent (CPCTC) A theorem stating that if two triangles are congruent, then so are all corresponding parts. Congruent Sides Have the exact same length. Angle Side Angle (ASA) Postulate If two triangles have corresponding angles and included sides that are congruent, then the triangles themselves are congruent. Side Side Side (SSS) Postulate If two triangles have corresponding sides that are congruent, then the triangles are congruent. Angle Angle Side (AAS) Postulate If two triangles have corresponding angles and sides that are congruent, then the triangles are congruent. Hypotenuse Leg (HL) Postulate If two right triangles have corresponding sides that are congruent, then the triangles are congruent. Side Angle Side (SAS) Postulate If two triangles have corresponding sides and included angles that are congruent, then the triangles are congruent. Vertex of an Angle A corner point of an angle. For an angle, the vertex is where the two rays making up the angle meet. Corresponding Sides Two sides that are situated the same way in different objects. Corresponding Angles Two angles that are situated the same way in different objects. Third Angles Theorem If the 2 angles of one triangle are congruent to 2 angles of another triangle, then the third angles are congruent Isosceles Triangle Theorem If 2 sides of a triangle are congruent, then the angles opposite those sides are congruent Converse of the Isosceles Triangle Theorem If 2 angles of a triangle are congruent, then the sides opposite of the angles are congruent