Chapter 7 (Balbharati) · Class 7 Maharashtra SSC · Worksheet

Congruence of Triangles (त्रिकोणांची एकरूपता) Worksheet — Class 7 Maharashtra SSC Maths

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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

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Sample Questions — Congruence of Triangles (त्रिकोणांची एकरूपता)

Here are 8 sample questions from this worksheet. Download the full PDF for all 30 questions.

Q1.Which of the following best defines what it means for two geometric figures to be congruent?

A.A) They have the same shape and the same size, meaning one can be perfectly superimposed on the other.

B.B) They have the same shape but may have different sizes.

C.C) They have the same size but may have different shapes.

D.D) They are mirror images of each other, but not necessarily identical.

Difficulty: Easy

Q2.Two line segments are congruent if and only if:

A.A) They are parallel to each other.

B.B) They have the same length.

C.C) They are perpendicular to each other.

D.D) They lie on the same line.

Difficulty: Easy

Q3.When are two angles, say ∠ABC and ∠PQR, considered congruent?

A.A) When their arms are of the same length.

B.B) When they have the same vertex.

C.C) When their measures (in degrees) are equal.

D.D) When they are vertically opposite angles.

Difficulty: Easy

Q4.Consider two triangles, ΔABC and ΔXYZ. If AB = XY, BC = YZ, and CA = ZX, which congruence criterion applies?

A.A) SAS (Side-Angle-Side)

B.B) ASA (Angle-Side-Angle)

C.C) SSS (Side-Side-Side)

D.D) RHS (Right angle-Hypotenuse-Side)

Difficulty: Easy

Q5.Two triangles, ΔPQR and ΔDEF, have the following properties: PQ = DE, ∠PQR = ∠DEF, and QR = EF. Which congruence criterion proves ΔPQR ≅ ΔDEF?

A.A) ASA (Angle-Side-Angle)

B.B) SSS (Side-Side-Side)

C.C) RHS (Right angle-Hypotenuse-Side)

D.D) SAS (Side-Angle-Side)

Difficulty: Easy

Q6.To prove that ΔMNO ≅ ΔRST using the ASA congruence criterion, which of the following sets of conditions must be true?

A.A) ∠M = ∠R, MN = RS, ∠N = ∠S

B.B) MN = RS, NO = ST, OM = TR

C.C) MN = RS, ∠M = ∠R, ∠O = ∠T

D.D) ∠M = ∠R, NO = ST, ∠O = ∠T

Difficulty: Easy

Q7.If ΔXYZ ≅ ΔPQR, which of the following statements is always true?

A.A) XY = QR

B.B) ∠Y = ∠Q

C.C) XZ = PQ

D.D) ∠X = ∠Q

Difficulty: Easy

Q8.How many lines of symmetry does an equilateral triangle have?

A.A) 0

B.B) 1

C.C) 2

D.D) 3

Difficulty: Easy

Answer Key — Sample Questions+

Q1:A) They have the same shape and the same size, meaning one can be perfectly superimposed on the other.

Q2:B) They have the same length.

Q3:C) When their measures (in degrees) are equal.

Q4:C) SSS (Side-Side-Side)

Q5:D) SAS (Side-Angle-Side)

Q6:A) ∠M = ∠R, MN = RS, ∠N = ∠S

Q7:B) ∠Y = ∠Q

Q8:D) 3

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