# Congruent triangles

## Congruent triangle problems – set 04

In this chapter we will solve questions related to congruent triangles. All the questions are to standard of grade 09 and are provided with detailed solution. Question 01In the below image, line AC bisects ∠A and ∠C. Prove that AB = AD and CB = CD. SolutionConsider triangle ABC and ADC. ∠BAC = ∠DAC ( …

## Congruent triangle problems – Set 03

In this chapter we will solve questions related to congruent triangles. All the questions are to the standard of grade 09. Question 01In the below figure AD = BC. Prove that line CD bisects AB. Given:AD = BC∠OAD = ∠OBC = 90 degree To prove:OA = OB SolutionConsider triangle OBC and OAD ∠BOC = ∠DOA …

## AAS postulate

In this chapter we will learn AAS postulate of congruency with solved examples. Let us first review the basics of congruency. What is congruency of triangles? Two triangles are said to be congruent when they have equal sides and angles. When the congruent triangles are placed against each other they will overlap fully. What is …

## ASA postulate

In this chapter we will learn the concept of ASA congruency condition with solved examples. Let us first review the basics of congruency of triangles. What are congruent triangles? Two triangles are congruent when they have equal sides and angles. Hence, two congruent triangles can fully superimpose over each other. What is ASA postulate? ASA …

## SAS postulate

In this chapter we will learn the SAS congruency rule with solved examples. Let us first review the basics of congruency. What are congruent triangles? Two triangles are congruent when they have equal sides and angles. This means that congruent triangle will perfectly overlap when placed against each other. What is SAS postulate? The full …

## Congruent Triangles

In this chapter we will learn about the concept of congruent triangles and will also look at the condition which makes two triangles congruent. What are Congruent Triangles? Two triangles are congruent when on overlapping they get completely superimposed over each other. Hence, the congruent triangles have exactly same shape, same side length and same …