Regents Questions on Congruency of Triangles

If Δ ABC is congruent to Δ DEF and if AB = 3 = DE and BC = EF = 4 , then necessary condition is

• (a) ∠ A = ∠ D

• (b) ∠ B = ∠E

• ( c) ∠ C = ∠ F

• (d) CA = FD

In Δ ABC and Δ DEF, AB = DF and ∠ A = ∠ D . The two triangles will be congruent by S.A.S axiom if

• (a) BC = EF

• (b) AC = DE

• (c) BC = DE

• (d) AC = EF.

If two line segments have the same (equal) length, they are —————

• A. Congruent

• B. Similar

• C. Opposite

Two circles are congruent if their —– are same.

• A. Diameter

• B. Radii

• C. Centre

The three sides of one triangle are equal to the three corresponding sides of another triangle then the triangle is congruent by ———- criteria.

• A. SSS Criteria

• B. SAS criteria

• C. RHS Criteria

Two sides and their included angles are equal to the corresponding sides and angles of another triangle then the triangles are congruent by ——— criteria.

• A. SSS Criteria

• B. SAS Criteria

• C. RHS Criteria

Two angles and included side of one triangle are equal to corresponding angles and included side of another triangle, and then the triangles are congruent by ———-criteria.

• A. ASA Criteria

• B. SAS Criteria

• C. SSS Criteria

. The hypotenuse and one side of one right triangle are respectively equal to the hypotenuse and one side of another right triangle, then the triangle are congruent by ——– criteria.

• A. SSS Criteria

• B. RHS Criteria

• C. SAS Criteria

Which of the following is not a congruence criterion?

• A. SSS Criterion

• B. AAA Criterion

• C. SAS Criterion

Which angle is included between the sides XY and XZ of triangle XYZ?

• X

• Y

• Z