When two triangles, say ABC and PQR are given, there are in all, six possible matchings or correspondences. Two of them are
(i) ABC ↔️ PQR (ii) ABC ↔️ QRP
Find the other four correspondences by using two cut outs of triangles. Will all these correspondences lead to congruence?

3

(a)

If ΔABC ≌ ΔFEDunder the correspondence ABC ↔️ FED, then write all the corresponding congruent parts of the triangles.

3

(a)

In the given figure, AC = BD and AD = BC. Which of the following statements is meaningfully written?

(i)  ΔABC ≅ ΔABD
(ii)  ΔABC ≅ ΔBAD

3

(a)

You want to establish ΔDEF ≅ ΔMNP, using ASA congruence rule. You are given that ㄥD = ㄥM and ㄥF = ㄥP. What information is needed to establish the congruence? (Draw a rough figure and then try)

3

(a)

It is to be established by RHS congruence rule that ΔABC ≅RPQ. What additional information is needed, if it is given that ㄥB =ㄥP = 90⁰ and AB = RP?

3

(a)

ΔDEF and ΔLMN are both isosceles with DE = DF and LM = LN, respectively. If DE = LM and EF = MN, then are the two triangles congruent?  Which condition do you use? If ㄥE = 40°, what is the measure of ㄥN?

3

(a)

In a squared sheet, draw two triangles of equal areas such that, the triangles are congruent.

3

(a)

In a squared sheet, draw two triangles of equal areas such that, the triangles are not congruent. What can you say about their perimeters?

3

(a)

If ΔABC and ΔPQR are to be congruent, name one additional pair of corresponding parts. What criterion did you use?

3

(a)

In the following figures, lengths of the sides of the triangles are indicated. By applying SSS congruence rule, state which pairs of triangles are congruent? In case of congruent triangles, write the result in symbolic form.

3

(a)

In the following figures, lengths of the sides of the triangles are indicated. By applying SSS congruence rule, state which pairs of triangles are congruent? In case of congruent triangles, write the result in symbolic form.

3

(a)

In the given figure, triangles ∆ABC and ΔBCD are right angled at A and D respectively. Prove that ΔABC≌ΔDCB.
Is AB = DC ? give reason.

3

(a)

In the following figures, measures of some parts are indicated. By applying ASA congruence rule, state which pairs of triangles are congruent. In case of congruence, write the result in symbolic form.

3

(a)

In the following figures, measures of some parts are indicated. By applying ASA congruence rule, state which pairs of triangles are congruent. In case of congruence, write the result in symbolic form.

3

(a)

Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not using RHS congruence rule. Write the result in symbolic form.
In ΔABC:ㄥB=90°, AC = 8 cm, AB = 4 cm
In ΔPQR:ㄥP=90°, PR = 4 cm, QR = 8 cm

3

(a)