Congruent Triangles # Geometry
Tutorials – Triangle
Triangle Review: Fundamentals of Triangle , Formula’s for Triangle , Types of Triangle , 45° – 45° – 90° Triangle , 30° – 60° – 90° Triangle , Congruent Triangles, Similar Triangles
Class Questions: Practice Examples 1, Practice Examples 2
Practice Questions : Exercise 1, Exercise 2, Exercise 3 , Exercise 4
[embedyt] http://www.youtube.com/watch?v=ZuxQKQhFIgo[/embedyt]
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When two triangles have same shape and size then they are called as Congruent Triangles. In simple words if we rotate , flip or reflect one triangle we get the same triangle in other direction without any change in dimensions of sides and angles.
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Same shape means Same corresponding angles of two triangles
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Same size means Same length of corresponding sides of two triangles
If following statements are satisfied, only then two triangles can be Congruent Triangles.
1. Three sides of 1st triangle is equal to three sides of 2nd triangle . In the below figure the three sides of Δ DEF is equal to three sides of Δ PQR
DE = PQ , EF = QR, DF = PR
2. Two sides and their included angle of 1st triangle is equal to two sides and their included angle of 2nd triangle. Study Δ ABC and Δ XYZ ;
AB = XY , AC = XZ, ∠A = ∠X
3. Two angles and their included side of 1st triangle is equal to two angles and their included side of 2nd triangle. Δ DEF and Δ PQR are congruent triangles.
∠D = ∠P = x° , ∠F = ∠R = y° , DF = PR
Triangle Review: Fundamentals of Triangle , Formula’s for Triangle , Types of Triangle , 45° – 45° – 90° Triangle , 30° – 60° – 90° Triangle , Congruent Triangles, Similar Triangles
Class Questions: Practice Examples 1, Practice Examples 2
Practice Questions : Exercise 1, Exercise 2, Exercise 3 , Exercise 4
