CBSE Class 7 Mathematics Congruence Of Triangles Worksheet Set A

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Question. If m ∠ABC m ∠LMN then∠ ABC ______________ ∠LMN.
Answer : ∠ABC ≅ ∠LMN.

Question. Congruent figures are equal in size.
Answer : False, congruent figures are equal in shape and size.

Question. When are two geometric figures said to be congruent?
Answer : Two geometric figures are said to be congruent if they have the same shape and size.

Question. ΔABC is an equilateral triangle. Is ΔABC ≅ ΔACB ? If yes, state the three criteria of congruence.
Answer : Yes, S.A.S., S.S.S., A.S.A. or A.A.S.

Question. If ΔLMN ≅ ΔRST, name the corresponding sides and the corresponding angles
Answer : LM = RS, MN = ST, LN = RT, ∠L = ∠R, ∠M = ∠S, ∠N = ∠T.

Question. When are two line segments said to be congruent?
Answer : Two line segments are congruent if they have the same length

Question. Two rectangles are congruent if _____________________.
Answer : They have the same length and breadth.

Question. Two circles are congruent if _________________________.
Answer : They have the same radii

Question. If two sides and the included angle of one triangle are respectively equal to any two sides and the included angle of the other then the two triangles are congruent.
Answer : True

Question. When are two triangles said to be congruent?
Answer : Two triangles are congruent if and only if one of then can be made to superimpose on the other, so as to cover the other exactly

Question. When are two angles said to be congruent?
Answer : Two angles are said to be congruent if they have the same measure and shape

Question. In the figure measure of sides and angles of PQR and LMN are given. Which of the statements are true?
Answer : (ii) ΔLMN ≅ ΔQPR.

Question. In the figure of Q. 25 which criterion is suitable to prove the congruence of the two triangles?
Answer : RHS

Question. When are two squares said to be congruent?
Answer :  Two squares are said to be congruent if they have the same side length

Question. If ΔPQR ≅ ΔMNL
(i) Which side of PQR is equal to the side of LM of ΔMNL ?
(ii) Which angle of ΔMNR is equal to R in the ∠PQR.
Answer : (i) RP

Question. Congruent figures are same in shape.
Answer : False, congruent figures are equal in shape and size.

Question. In Q. 26 in the congruence of triangles, which of the sides and angles are equal?
Answer : ∠R = ∠P = 90°
RS = PQ   SQ = QS

Question. In Q. 28 if the triangles are congruent then name them according to the correspondence. Also name the pairs of corresponding angles
Answer : ΔPRQ ≅ ΔLMN, ∠P = 105° = ∠L, ∠R = ∠M = 35

Question. If ΔABC ≅ ΔLMN, name the corresponding sides and the corresponding angles.
Answer : AB = LM, BC = MN, AC = LN, ∠A = ∠L, = ∠B = ∠M, ∠C = ∠N

Question. If ΔPQR ≅ ΔXYZ, name the corresponding sides and the corresponding angles.
Answer : PQ = XY, QR = YQ, PR = XZ, ∠P = ∠X, ∠Q = ∠Y, ∠R = ∠Z.

Question. Two triangles are congruent if three sides of one triangle are respectively equal to the three sides of the other trignale.
Answer : True

Question. Congruent figures cover each other completely?
Answer : True

Please refer to attached file for CBSE Class 7 Maths Worksheet - Congruence of Triangles (1)