How Do You Prove Triangles Are Congruent https://www.youtube.com/watch?v=GmS-p1S_t5E Congruent Figures Two figures/objects are said to be congruent if they are exactly of the same shape and size. The relationship between two congruent figures is called congruence. We use the symbol ≅ for 'congruent to'.Congruence among line segments: Two line segments are congruent if … [Read more...] about How Do You Prove Triangles Are Congruent

# Triangles

## Pythagoras Theorem

Pythagoras TheoremTheorem 1: In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Given: A right-angled triangle ABC in which B = ∠90º. To Prove: (Hypotenuse)2 = (Base)2 + (Perpendicular)2. i.e., AC2 = AB2 + BC2 Construction: From B draw BD ⊥ AC.Proof: In triangle ADB and ABC, we have ∠ADB = ∠ABC … [Read more...] about Pythagoras Theorem

## How Do You Find The Angle Of An Isosceles Triangle

How Do You Find The Angle Of An Isosceles Triangle https://www.youtube.com/watch?v=V2iK77V-Q_gTheorem: Angles opposite to equal sides of an isosceles triangle are equal.Given: In ∆ABC, AB = AC To Prove: ∠B = ∠C Construction: Draw AD, bisector of ∠A ∴ ∠1 = ∠2 Proof: In ∆ADB & ∆ADC AD = AD (Common) ∠1 = ∠2 (by construction) AB = AC By SAS, ∆ADB … [Read more...] about How Do You Find The Angle Of An Isosceles Triangle

## Criteria For Congruent Triangles

Criteria For Congruent Triangles https://www.youtube.com/watch?v=QkU4FZN8MY0Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.Congruent Triangles do not have to be in the same orientation or position. They only have to be identical in size and shape.SSS … [Read more...] about Criteria For Congruent Triangles

## What are the Different Types of Triangles

Classification of Triangles A triangle is a polygon with three sides. It has three sides and three vertices. There are seven types of triangles. The sum of the angles of a triangle is 180°.Triangles Types can be classified in two ways:By their sides By their angleswhat are the six types of triangles?Six Various Types of Triangles are Isosceles, … [Read more...] about What are the Different Types of Triangles