RD Sharma Chapter 10 Class 9 Maths Exercise 10.2 Solutions is concerned with the Congruent Triangles. In this exercise, we will discuss the Criterion of Congruence – ASA (Angle-Side-Angle). According to the criteria, two triangles correspond if two angles, and the involved side of one triangle is equivalent to the corresponding two angles and the involved side of the other triangle. The solutions have been systematically planned for class 9 students to understand all chapter 10 Maths problems.
Moreover, RD Sharma Chapter 10 Class 9 Maths Exercise 10.2 Solutions PDF will help understand the level and varieties of problems asked in the exam. Practice with the PDF attached below with the stepwise explanations in an easy manner. Practicing regularly helps to score well in the exam.
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Solutions for Class 9 Maths Chapter 10 Congruent Triangles Exercise 10.2
Important Definitions RD Sharma Chapter 10 Class 9 Maths Exercise 10.2 Solutions
In this exercise of Chapter 10, we will learn about the Criterion of Congruence – ASA ( Angle-Side-Angle). Go down and look at the information regarding Criterion of Congruence – ASA ( Angle-Side-Angle).
ASA ( Angle-Side-Angle)
If any two angles and sides involved between the angles of one triangle are equal to the corresponding two angles and sides involved between the angles of the second triangle, then the two triangles are supposed to be congruent Angle-Side-Angle (ASA) rule.
In the above-given figure, ∠ B = ∠ Q, ∠ C = ∠ R, and sides between ∠B and ∠C, ∠Q and ∠ R are equivalent to each other, i.e., BC= QR. Hence, Δ ABC ≅ Δ PQR.
Frequently Asked Question (FAQs) of RD Sharma Chapter 10 Class 9 Maths Exercise 10.2 Solutions
Ques1- Does ASA prove congruence?
Ans- Angle-side-angle (ASA) is a rule used to determine whether a given set of triangles are congruent. The ASA rule says that- If two angles and the involved side of one triangle are equivalent to two angles and involved side of another triangle, formerly the triangles are congruent.
Ques 2- How are ASA and SAS alike?
Ans- Both ASA and SAS are different.
- ASA determines that the two triangles have two angles and the side among the angles congruent.
- SAS determines that the two sides and the angle among them are congruent.
Ques 3- Can ASA prove triangles similar?
Ans- Similar triangles are simple to identify because you can implement three theorems specific to triangles.
These three theorems are called Angle-Angle (AA), Side-Angle-Side (SAS), and Side-Side-Side (SSS), which are reliable methods for determining connection in triangles.
Ques 4- What are the congruence criterion of two triangles?
Ans- Two triangles are congruent if they meet one of the following criteria-
- All three pairs of corresponding sides are similar.
- Two pairs of corresponding sides and angles between them are similar.
- Two pairs of corresponding angles and the sides between them are similar.