Maths Congruence of Triangles part 7 (ASA: Angle Side Angle Criteria) CBSE Class 7 Mathematics VII

TL;DR

A video explaining the ASA criteria for triangle congruence, where two triangles are congruent if they have two equal angles and the included side is also equal.

Transcript

Hello friends this video on congruence of triangles part 7 is brought to you by exam fear.com no more fear from exam so let us now look at ASA criteria now I really do not think that I need to explain a lot here ASA means angle side angle that means here we will deal with two angles and one side and this is also the same Sandage phenomenon but this... Read More

Key Insights

• 🧍 ASA criteria stands for Angle Side Angle and is used to determine if two triangles are congruent.
• 🔺 In triangle ABC, the included side between angle B and angle C is BC.
• 🟰 Triangle congruence requires two equal angles and the included side to be equal.
• 👀 The included side can be identified by looking at the angles and seeing which side is sandwiched between them.
• 🔺 Two triangles are congruent if angle A in triangle ABC is equal to angle D in triangle DEF and angle B is equal to angle E.
• 🔺 Congruent triangles have the same shape and size.
• 🔺 ASA criteria is one of the many criteria used for triangle congruence.

Questions & Answers

Q: What does ASA stand for in the context of triangle congruence?

ASA stands for Angle Side Angle, which means that two triangles are congruent if they have two equal angles and the included side is also equal.

Q: How can we determine which angle is sandwiched between two sides in a triangle?

In a triangle, the angle that is sandwiched between two sides can be identified by looking at the sides. For example, in triangle ABC, angle B is sandwiched between sides AB and BC.

Q: Can two triangles be congruent if only two sides are equal?

No, for two triangles to be congruent, it is not enough for only two sides to be equal. The included angle between the two sides must also be equal.

Q: What is the concept of the included side between two angles?

The included side between two angles in a triangle is the side that lies between the two angles. It can be determined by looking at the angles and identifying which side is sandwiched between them.

Summary & Key Takeaways

• The video explains the ASA (Angle Side Angle) criteria for triangle congruence.

• ASA involves checking if two angles and the side included between them of one triangle are equal to the corresponding angles and side of another triangle.

• If the angles and included side are equal, the two triangles are congruent.