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Congruent Triangles Criteria
1.
Congruent TrianglesCongruent Triangles Mathematic
2.
2 Two triangles are
congruent if they are both the same size and shape. For Example 6cm 6cm 8cm 8cm 70o 70o 7cm 7cm 75o 75o 35o 35o
3.
3 Two triangles are
congruent if. All the three Sides of the triangles are equal in length. SSS 6cm 6cm 8cm 8cm 7cm 7cm
4.
4 Two triangles are
congruent if. Two pairs of corresponding Sides and the included Angle are equal. SAS 6cm 6cm 8cm 8cm 70o 70o
5.
5 Two triangles are
congruent if. Two pairs of Angles and any pair of corresponding Sides are equal. AAS 8cm 8cm 70o 70o 75o 75o
6.
6 Two triangles are
congruent if. Both have a Right angle. The Hypotenuses and one pair of corresponding Sides are equal. RHS 8cm 7cm 8cm 7cm
7.
7 Example 1 A B C 10cm 3.4cm9.4cm P Q R 10cm 3.4cm9.4cm AB =
PQ (Corresponding Sides) BC = QR (Corresponding Sides) AC = PR (Corresponding Sides) Therefore Congruent by SSS
8.
8 Example 2 A B C 3.4cm9.4cm P Q R 3.4cm9.4cm AB =
PQ (Corresponding Sides) BC = QR (Corresponding Sides) ∠B = ∠Q (Included angle) Therefore Congruent by SAS
9.
9 Example 3 A B C 10cm 70o 20o P Q R 10cm 70o 20o ∠A =
∠P (Corresponding Angles) ∠C = ∠R (Corresponding Angles) AC = PR (Corresponding Sides) Therefore Congruent by AAS
10.
10 Example 4 A B C 10cm 3.4cm P Q R 10cm 3.4cm ∠B =
∠Q = 90o (Right Angle) AC = PR (Hypotenuse) BC = QR (Corresponding Sides) Therefore Congruent by RHS
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