#### If two sides and the included angle of one triangle are equal to the corresponding sides and angle of the other triangle, then the two triangles are said to be congruent. State the congruence condition.

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of the other triangle, then the two triangles are said to be congruent by Side, Angle, Side (SAS) congruence condition.

#### Two geometric figures are said to be congruent, if they have same___.

Two geometric figures are said to be congruent, if they have same size and shape.

#### Two sides of a triangle are 7 cm and 10 cm. Then the length of the third side can be ____.

The sum of two sides of a triangle must be greater than the third side. Among the given options, the only possible length of the third side is 5 cm.

#### Two triangles are said to be congruent, if they have same shape and size.

Two triangles are said to be congruent, if they have same shape and size.

#### The congruence condition which does not always prove congruence is SSA.

The congruence condition which does not always prove congruence is SSA.

#### From below, the possible lengths of a triangle are ____.

Among the given options, 4, 5 and 7 can be the lengths of the sides of a triangle. In the other cases, the sum of two sides is not greater than the third side.

#### By ASA congruence condition, ΔPQR ≅ ΔXYZ. If PQ = XY, ∠P = ∠X, then ∠Q =

∠Q = ∠Y (∵ Congruent Triangles Corresponding Parts)

#### ΔABC ≅ ΔXYZ by ASA congruence condition. If BC=7 cm, then YZ = ____.

If BC=7 cm, then YZ=7 cm. (∵CPCT)

#### In ∆ABC, if ∠A = 120°, ∠B = 30° and ∠C = 30°, then BC is the longest side.

BC is the longest side as it is opposite to the greatest angle A. (∵In a triangle, the side opposite to the greatest angle is longest.)