WorksheetsIdentifying and Applying Triangle Congruence Criteria
Total questions: 10
Worksheet time: 5mins
Two triangles, ABC and DEF, are such that AB = DE, AC = DF, and angle A = angle D. Are triangles ABC and DEF congruent? If so, which triangle congruence criterion applies?
Yes, triangles ABC and DEF are congruent by AAS criterion.
Yes, triangles ABC and DEF are congruent by SSS criterion.
Yes, triangles ABC and DEF are congruent by ASA criterion.
No, triangles ABC and DEF are not congruent because they have different angles.
In a park, two triangular flower beds, XYZ and PQR, have sides XY = PQ, YZ = QR, and angle Y = angle Q. Determine if the flower beds are congruent and state the criterion used.
No, the flower beds are congruent by the AAS criterion.
Yes, the flower beds are congruent by the ASA criterion.
Yes, the flower beds are congruent by the SAS criterion.
No, the flower beds are not congruent by the SSS criterion.
A bridge is designed with two triangular supports, GHI and JKL, where GH = JK, HI = KL, and angle H = angle K. Are the supports congruent? Explain your reasoning using a triangle congruence criterion.
Yes, the supports are congruent but only if they are the same color.
No, the supports are congruent only if they are the same size.
Yes, the supports are congruent.
No, the supports are not congruent because they have different angles.
During a construction project, two triangular sections of a roof, MNO and PQR, are found to have sides MN = PQ, NO = QR, and angle N = angle R. Are these sections congruent? Which criterion confirms this?
Yes, the sections are congruent by the AAS criterion.
No, the sections are congruent by the ASA criterion.
No, the sections are not congruent by the SSS criterion.
Yes, the sections are congruent by the SAS criterion.
A triangular garden, ABC, has a side length of 10 meters, and another triangular garden, DEF, has a side length of 10 meters as well. If angle A = angle D, can you conclude that the gardens are congruent? Why or why not?
No, the gardens are not necessarily congruent.
Yes, the gardens are congruent because they have equal side lengths.
The gardens are congruent because they have the same area.
Yes, the gardens are congruent since they have one angle equal.
In a school project, students create two triangular models, JKL and MNO, where JK = MN, KL = NO, and angle K = angle O. Are the models congruent? Identify the triangle congruence criterion that applies.
Yes, the models are congruent by the ASA criterion.
No, the models are congruent by the SSS criterion.
Yes, the models are not congruent by the AAS criterion.
No, the models are congruent by the SAS criterion.
Two triangular pieces of art, PQR and STU, are such that PQ = ST, QR = TU, and angle R = angle T. Are the pieces congruent? Justify your answer with the appropriate criterion.
No, the pieces are not congruent because they have different angles.
Yes, but only if the sides are equal in length.
No, the pieces are congruent only if they are similar.
Yes, the pieces are congruent.
A triangular plot of land, ABC, has a height of 5 meters and a base of 12 meters. Another plot, DEF, has the same height and base. Are the plots congruent? Explain your reasoning using triangle congruence criteria.
Yes, the plots are congruent but only if they are rotated.
No, the plots are not congruent as they have different base lengths.
No, the plots are not congruent because they have different heights.
Yes, the plots are congruent.
In a design competition, two triangular logos, XYZ and ABC, have sides XY = AB, YZ = BC, and angle Z = angle C. Are the logos congruent? State the triangle congruence criterion that applies.
Yes, the logos are congruent by the SAS criterion.
Yes, the logos are congruent by the SSS criterion.
No, the logos are not congruent by the AAS criterion.
No, the logos are congruent by the ASA criterion.
Two triangular sails, DEF and GHI, are designed such that DE = GH, EF = HI, and angle E = angle H. Are the sails congruent? Provide the reasoning based on triangle congruence criteria.
No, the sails are congruent only if they have the same area.
No, the sails are not congruent because they have different angles.
Yes, the sails are congruent but only if they are the same color.
Yes, the sails are congruent.
