Class 7..Maths CONGRUENCE OF TRIANGLE!!!
Answers
Congruent triangles =>
- When two triangles are congruent they will have exactly the same three sides and exactly the same three angles.
- The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.
SAS congruence =>
- The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.
- An included angle is an angle formed by two given sides.
Congruent triangles using SAS congruence =>
(B) Δ OBA ≅ Δ ODC
( AO = OC , BO = OD , < COD = < BOA)
(C) Δ RSP ≅ Δ PQR
( < P = < R , PQ = SR , PR = PR => COMMON)
(D) Δ CBA ≅ Δ QPR
( CB = QP , < C = < Q , AB = QR )
(A) the corresponding parts are not equal thus the triangles are not congruent.
Answer : (B) , (C) , (D) are congruent by SAS congruence rule.
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Answer:
a. ΔPQR & ΔMNL = PQ = MN = 2 cm
= QR = NL = 4 cm
= Angle Q = Angle N = 35°
∴ ΔPQR ≅ ΔMNL.
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b. ΔBOA & ΔCOD = BO = OD
= AO = OC
= Angle BOA = Angle COD
∴ ΔBOA ≅ ΔCOD
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c. ΔSRP & ΔQPR = SR = QP = 4 cm
= RP = PR = Common Sides
= Angle R = Angle P = 30°
∴ ΔSRP ≅ ΔQPR