Subscribe to our ▶️YouTube channel🔴 for the latest videos, updates, and tips.
Home | About Us | Contact Us | Privacy | Math Blog
Angle Angle Side Congruence
Conditions for the AAS – Angle Angle Side congruence
Two triangles are said to be congruent if two angles and non- included side of the one triangle is equal to the two angles and the non- included side of the other.
Experiment to prove Congruence with AAS:
Draw a ∆LMN with ∠M = 40°, ∠N = 70°, LN = 3 cm.
Also, draw another ∆XYZ with ∠Y = 40°, ∠Z = 70°, XZ = 3cm.
We see that ∠M = ∠Y, ∠N = ∠Z and LN = XZ
Make a trace copy of ∆XYZ and try to make it cover LMN with X on L, Y on M and Z on N. Two triangles cover each other exactly.
Therefore ∆LMN ≅ ∆XYZ
Note:
Angle Angle Side (AAS) and Angle Side Angle (ASA) are more or less the same congruence condition.
Worked-out problems on angle angle side congruence triangles (AAS postulate):
1. OB is the bisector of ∠AOC, PM ┴ OA and PN ┴ OC. Show that ∆MPO ≅ ∆NPO.
Solution:
In ∆MPO and ∆NPO
PM ┴ OM and PN ┴ ON
Therefore ∠PMO = ∠PNO = 90°
Also, OB is the bisector of ∠AOC
Therefore ∠MOP = ∠NOP
OP = OP common
Therefore, ∆MPO ≅ ∆NPO by AAS congruence condition
Conditions for the Congruence of Triangles
Right Angle Hypotenuse Side congruence
Converse of Pythagorean Theorem
7th Grade Math Problems
8th Grade Math Practice
From Angle Angle Side Congruence to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
Area of Rectangle Square and Triangle | Formulas| Area of Plane Shapes
Jul 18, 25 10:38 AM
Area of a closed plane figure is the amount of surface enclosed within its boundary. Look at the given figures. The shaded region of each figure denotes its area. The standard unit, generally used for… -
What is Area in Maths? | Units to find Area | Conversion Table of Area
Jul 17, 25 01:06 AM
The amount of surface that a plane figure covers is called its area. It’s unit is square centimeters or square meters etc. A rectangle, a square, a triangle and a circle are all examples of closed pla… -
Worksheet on Perimeter | Perimeter of Squares and Rectangle | Answers
Jul 17, 25 12:40 AM
Practice the questions given in the worksheet on perimeter. The questions are based on finding the perimeter of the triangle, perimeter of the square, perimeter of rectangle and word problems. I. Find… -
Formation of Square and Rectangle | Construction of Square & Rectangle
Jul 16, 25 11:46 PM
In formation of square and rectangle we will learn how to construct square and rectangle. Construction of a Square: We follow the method given below. Step I: We draw a line segment AB of the required… -
Perimeter of a Figure | Perimeter of a Simple Closed Figure | Examples
Jul 16, 25 02:33 AM
Perimeter of a figure is explained here. Perimeter is the total length of the boundary of a closed figure. The perimeter of a simple closed figure is the sum of the measures of line-segments which hav…
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.