Proving Congruences of Triangles

∆ABC ≅ ∆XYZ. By which critieria?

• SAS

• ASA

• SSS

• SSA

If ∆DEF ≅ ∆ACB, then the part of ∆ACB that corresponds to angle F is :

• Angle A

• Angle B

• Angle C

• None of these

Under a given correspondence, two triangles are congruent if the three sides of the first are equal to the three corresponding sides of the other. The above is known as :

• SSS congruence of two triangles.

• SAS congruence of two triangles.

• ASA congruence of two triangles.

• None of these.

Under a given correspondence, two triangles are congruent if two sides and the angle included between them of the first are equal to the corresponding sides and the angle included between them of the other triangle. The above is known as :

• SSS congruence of two triangles.

• SAS congruence of two triangles.

• ASA congruence of two triangles.

• None of these.

Which of the following is NOT a congruency criteria for triangles ?

• SSS

• AAA

• AAS

• ASA

• SAS

∆PRT ≅ ∆ZPQ. Then side PT will be equal to?

• ZQ

• QZ

• ZP

• PQ

The symbol for congruence is :

• =

• #

• ~

• ≅

∆ABC and ∆RQP are congruent with the same correspondence. Write the parts of ∆ ABC that corresponds to RP.

• AB

• BC

• AC

• None of these

In congruent triangles ABC and PQR, AB = 5cm, BC = 4cm, angle B = 30°, PQ = 5cm, QR = 4cm and angle Q = 30°. By which congruence rule, the triangles are congruent?

• SSS

• ASA

• SAS

• None of these

Two students drew a line segment each. What is the condition for them to be congruent?

• They should be drawn with a scale.

• They should be drawn on the same sheet of paper.

• They should have different lengths.

• They should have the same length.