Congruence of Triangles

Two plane figures are said to be congruent if they have :

• same length and same breadth

• same length but different breadth

• same size and same shape

• different size but same shape

The symbol for congruence is :

• =

• #

• ~

• ≅

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.

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

• Angle A

• Angle B

• Angle C

• None of these

Which of the following is a pair of congruent figures :

• A regular pentagon and a regular hexagon.

• A rhombus and a square

• Two equilateral triangles of the same length of their sides.

• Two equilateral triangles having different length of their sides from each other.

Which angle is included between the sides QR and PR of ∆PQR?

• Angle R

• Angle P

• Angle Q

• None of these

What is the side included between the angles M and N of ∆MNP?

• MN

• NP

• MP

• 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.

∆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