Q4 Unit 10: Congruent Triangles Exam with verified solutions 202

Side-Side-Side (SSS) If three sides of one triangle are congruent to three sides of another triangle, then triangles are congruent. Side-Angle-Side (SAS) If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent. Angle-Side-Angle (ASA) If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then these two triangles are congruent. Angle-Angle-Side (AAS) If two angles and the non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then these two triangles are congruent. Hypotenuse-Leg (HL) If the hypotenuse and leg of one right triangle are congruent to the hypotenuse and corresponding leg of another right triangle, then these two triangles are congruent. Included Angle The angle between two sides. Included Side The side between two angles. Corresponding Sides A pair of matching sides that are in the same spot in two different shapes. Corresponding Angles A pair of matching angles that are in the same spot in two different shapes. Reflexive Property (Shared sides) When two triangles share a side, the sides are said to be congruent to themselves. Vertical Angles (Bow tie) Each of the pairs of opposite angles made by two intersecting lines are congruent.