Congruence & Symmetry Worksheet — Class 7 CBSE

Question 1

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 2

Two line segments are congruent if and only if:

Accepted Answer

B) They have the same length.

Answer

A) They are parallel to each other.

Answer

C) They are perpendicular to each other.

Answer

D) They lie on the same line.

Question 3

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

Accepted Answer

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

Answer

A) When their arms are of the same length.

Answer

B) When they have the same vertex.

Answer

D) When they are vertically opposite angles.

Question 4

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

Accepted Answer

C) SSS (Side-Side-Side)

Answer

A) SAS (Side-Angle-Side)

Answer

B) ASA (Angle-Side-Angle)

Answer

D) RHS (Right angle-Hypotenuse-Side)

Question 5

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

Accepted Answer

D) SAS (Side-Angle-Side)

Answer

A) ASA (Angle-Side-Angle)

Answer

B) SSS (Side-Side-Side)

Answer

C) RHS (Right angle-Hypotenuse-Side)

Congruence & Symmetry Worksheet — Class 7 CBSE Maths