| Question | Answer |
| If three corresponding sides of one triangle are congruent to three corresponding sides of another triangle, then the triangles are congruent. | SSS
|
If two corresponding sides and the included angle of one triangle are congruent to two corresponding sides and the included angle of another triangle, then the triangles are congruent. | SAS
| If two corresponding angles and the included side of one triangle are congruent to two corresponding angles and the included side of another triangle, then the two triangles are congruent. | ASA
| If two corresponding angles and a non-included side of one triangle are congruent to two corresponding angles and a non-included side of another triangle, then the two triangles are congruent. | AAS
| Points on a perpendicular bisector of a line segment are equidistant to the endpoints of a segment. | Perpendicular Bisector Theorem
| If the hypotenuse and leg of one triangle is congruent to the hypotenuse and leg of another triangle, then the triangles are congruent. | HL
| If two legs of one right triangle are congruent to two legs of another right triangle, then the triangles are congruent. | LL
| If the hypotenuse and acute angle of one right triangle are congruent to the hypotenuse and same acute angle of another right triangle, then the triangles are congruent. | HA
| If a leg and acute angle of a right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent. | LA
| If two sides of a triangle are congruent, then the angles opposite these sides are also congruent. | Isosceles Triangle Base Angles Theorem
| If two angles of a triangle are congruent, then the sides opposite these angles are congruent. | Converse of the Isosceles Triangle Theorem
| Given rectangle ABCD with sides AB congruent to CD and BC congruent to AD and diagonal BD. State if this is enough information to prove that triangle ABD is congruent to triangle CDB. State the theorem used. | Yes,HL
| Two ladders are on level ground leaning against the side of the house. The bottom of each ladder is exactly 2.5 feet directly out from the base of the house. The point at which each ladder rests against the house is 10 feet directly above the base of the house. Is there enough information to determine if the ladders are the same length using CPCTC? If so how would you prove so? | Yes, LL or SAS
| Given triangle TDU, with segment DV being a perpendicular bisector of side TU. Draw a diagram and determine if there is enough information to prove segments DT congruent to segment DU by CPCTC. If so, what theorem can be used to prove the triangles congruent. | Yes, LL or SAS
| Given rhombus GHJK with diagonal HK. Determine if there is enough information to prove triangle KGH congruent to triangle HJK. If so, tell which theorem you used. | Yes, SSS |
