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(a) Given:

AC = DF

AB = DE

BC = EF

So, \(\triangle ABC \cong \triangle DEF \)

(b) Given:

ZX = RP

RQ = ZY

\(\angle PRQ = \angle XZY \)

So, \(\triangle PQR \cong \triangle XYZ \)

(c) Given: \(\angle MLN = \angle FGH \)

\(\angle NML = \angle GFH \)

ML = FG

So, \(\triangle LMN \cong \triangle GFH \)

(d) Given: EB = DB

AE = BC

\(\angle A = \angle C = 90° \)

So, \(\triangle ABE \cong \triangle CDB \)

Answer :

(a) \(\triangle ABC \cong \triangle DEF \) (BY SSS rule)

(b) \(\triangle PQR \cong \triangle XYZ \) (BY SAS rule)

(c) \(\triangle LMN \cong \triangle GFH \) (BY ASA rule)

(d) \(\triangle ABE \cong \triangle CDB \) (BY RHS rule)

- Q.2 You want to show that \(\triangle ART = \triangle PEN, \) (a) If you have to use SSS criterion, then you need to show (i) AR = (ii) RT = (iii) AT = (b) If it is given that ?T = ?N and you are to use SAS criterion, you need to have (i) RT = and (ii) PN = (c) If it is given that AT = PN and you are to use ASA criterion, you need to have (i) ? (ii) ?
- Q.3 You have to show that \(\triangle AMP \cong \triangle AMQ \). In the fallowing proof, supply the missing reasons.
- Q.4 In ?ABC, \(\angle A = 30° \angle B = 40° and \angle C = 110° \) In \(\triangle PQR, \angle P = 30°, \angle Q = 40° and \angle R = 110°.\) A student says that \(\triangle ABC = \triangle PQR \) by AAA congruence criterion. Is he justified? Why or why not?
- Q.5 In the figure, the two triangles are congruent. The corresponding parts are marked. We can write \(\triangle RAT \cong \) ?
- Q.6 Complete the congruence statement: \(\triangle BCA \cong ? \triangle QRS \cong ? \)
- Q.7 In a squared sheet, draw two triangles of equal areas such that: (i) the triangles are congruent. (ii) the triangle are not congruent. What can you say about their perimeters?
- Q.8 Draw a rough sketch of two triangles such that they have five pairs of congruent parts but still the triangles are not congruent.
- Q.9 If \(\triangle ABC and \triangle PQR \) are to be congruent, name one additional pair of corresponding parts. What criterion did you use?
- Q.10 Explain, why \(\triangle ABC \cong \triangle FED \)

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- NCERT solutions for class 7 maths chapter 2 Fractions and Decimals
- NCERT solutions for class 7 maths chapter 3 Data Handling
- NCERT solutions for class 7 maths chapter 4 Simple Equations
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- NCERT solutions for class 7 maths chapter 13 Exponents and Powers
- NCERT solutions for class 7 maths chapter 14 Symmetry
- NCERT solutions for class 7 maths chapter 15 Visualising Solid Shapes

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