Exams › SSC CGL (Prelims) › General

Two triangles \(\triangle XYZ\) and \(\triangle LMN\) are such that XY = LM, YZ = MN, and XZ = LN. By which property are they congruent?

1. SAS
2. SSS
3. RHS
4. ASA

Correct answer: SSS

Solution

The three sides of one triangle are equal to the three corresponding sides of the other triangle. Therefore, the triangles are congruent by the SSS criterion.

Related SSC CGL (Prelims) General questions

• Which of the following lines is parallel to \(4x - 3y = 7\)?
• In a cyclic quadrilateral \(PQRS\), if \(\angle P=110^\circ\), what is the measure of \(\angle R\)?
• In triangles \(DEF\) and \(PQR\), if \(DE=PQ\), \(EF=QR\), and \(FD=RP\), which congruence criterion shows that triangle \(DEF\) is congruent to triangle \(PQR\)?
• Two concentric circles have circumferences in the ratio 4:7. If the smaller circle has area 80 m², what is the approximate area of the larger circle?
• Three concentric circles have diameters in arithmetic progression. The smallest circumference is 8π cm and the largest is 18π cm. What is the middle circumference?
• A sphere and a cone have the same volume and the same base radius. Find the ratio of the height of the cone to its radius.

⚔️ Practice SSC CGL (Prelims) General free + battle 1v1 →