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Congruence in geometry just means that two shapes are identical twins . They are the exact same size and the exact same shape. If you picked one up and placed it on top of the other, they would match perfectly. The 5 Ways to Prove Triangles are Congruent To prove two triangles are identical, you don't need to measure every single side and angle. You only need three specific pieces of information: SAS: Side - Angle - Side (The angle must be between the sides). ASA: Angle - Side - Angle (The side must be between the angles). AAS: Angle - Angle - Side. SSS: Side - Side - Side (All three sides match). RHS: Right angle - Hypotenuse - Side. 1. The Side-Angle-Side (SAS) Rule Q: If AB = PQ , BC = QR , and the angle between them ( angle B = angle Q ) is the same, are the triangles congruent? Step 1: Look at what we have: Two sides match, and the "corner" (angle) between them matches. Step 2: This fits the SAS rule perfectly. Conclusion: Yes, they are congruent. 2. The Is...

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NCERT Class 9 Science - Chapter 1: Matter in Our Surroundings Introduction Everything in our surroundings is made up of matter. Matter is anything that has mass and occupies space. This chapter discusses the physical nature, characteristics, and states of matter, along with concepts like diffusion, evaporation, and interconversion of states. Physical Nature of Matter Matter is Made of Particles Matter is composed of small particles that are continuously moving. The particles of matter are extremely small and cannot be seen with the naked eye. Characteristics of Particles of Matter Particles have spaces between them: This property allows substances like salt or sugar to dissolve in water. Particles are continuously moving: This movement is called the kinetic energy of the particles. Particles attract each other: The force of attraction varies in different types of matter. States of Matter Matter exists in three main states: Solid State Definite shape and vo...