Topic Details (Notes format)

How to Use Congruent Triangles

Subject: Mathematics

Book: Maths Mastery

Triangles are congruent if they have the same size and shape. Common criteria include Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), Angle-Angle-Side (AAS), and Right Angle-Hypotenuse-Side (RHS). By identifying these conditions, you can conclude that two triangles match exactly in dimensions and angles. Congruence is central to geometric proofs, map overlays, and structural designs requiring precise fits. A strong grasp of these criteria ensures you can prove geometric statements or design congruent sections for architectural or engineering projects accurately.

Practice Questions

The sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?

View Question

If x^3 - 3x^2 + 4 = 0, what is one root of the equation?

View Question

What is the HCF of 72 and 120?

View Question

If the radius of a circle is doubled, what happens to its area?

View Question

A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?

View Question

The ratio of two numbers is 3:5, and their sum is 64. What are the numbers?

View Question

A car covers a distance of 150 km in 2.5 hours. What is its average speed?

View Question

The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?

View Question

The sum of the squares of two consecutive integers is 145. What are the integers?

View Question

If 8x = 512, what is the value of x?

View Question