Congruent Triangles Congruent Triangles Mathematic
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Congruent TrianglesCongruent Triangles
Mathematic
2
Two triangles are congruent if they are both the same size and shape.
For Example
6cm 6cm8cm 8cm70o 70o
7cm 7cm75o 75o35o 35o
3
Two triangles are congruent if.All the three Sides of the
triangles are equal in length.SSS
6cm 6cm8cm 8cm
7cm 7cm
4
Two triangles are congruent if.Two pairs of corresponding Sides and the included Angle are
equal.SAS6cm 6cm8cm 8cm
70o 70o
5
Two triangles are congruent if.Two pairs of Angles and any pair of corresponding Sides are
equal.AAS8cm 8cm
70o 70o
75o 75o
6
Two triangles are congruent if.Both have a Right angle. The Hypotenuses and one pair of corresponding Sides are
equal.RHS8cm
7cm
8cm
7cm
7
Example 1
A
B
C10cm
3.4cm9.4cm
P
Q
R10cm
3.4cm9.4cm
AB = PQ (Corresponding Sides)BC = QR (Corresponding Sides)AC = PR (Corresponding Sides)
Therefore Congruent by SSS
8
Example 2
A
B
C3.4cm9.4cm
P
Q
R3.4cm9.4cm
AB = PQ (Corresponding Sides)BC = QR (Corresponding Sides)B = Q (Included angle)Therefore Congruent by SAS
9
Example 3
A
B
C10cm
70o
20oP
Q
R10cm
70o
20o
A = P (Corresponding Angles)C = R (Corresponding Angles)AC = PR (Corresponding Sides)
Therefore Congruent by AAS
10
Example 4
A
B
C10cm
3.4cm
P
Q
R10cm
3.4cm
B = Q = 90o (Right Angle)AC = PR (Hypotenuse)BC = QR (Corresponding Sides)
Therefore Congruent by RHS
Related Documents
