Question
If two triangles ABC and XYZ are congruent, then which
of the following statement(s) is/are true? I. AB = XY II. ∠CAB = ∠XYZSolution
If two triangles are congruent, then their corresponding sides and angles are equal.
- AB corresponds to XY.
- ∠CAB corresponds to ∠XYZ.
- Statement I: AB = XY → This is true because corresponding sides of congruent triangles are equal.
- Statement II: ∠CAB = ∠XYZ → This is true because corresponding angles of congruent triangles are equal.
Thus, both statements are true.
Statements: A > B > C; D < E < C; D ≥ F = G
Conclusion:
I. G < E
II. F < A
Statements: N < G ≥ F > E ≥ D, D = O ≥ I > P
Conclusions:
I. D < G
II. N > I
III. P < E
If the expressions G < L ≤ J > B, J ≤ A and G > H are true, which of the following conclusions will be definitely false?
Statements: B > C= D > F < G = J; H > F > I ≥ E
Conclusions:
I. C > E
II. H < G
III. J = H
Statements: I > E ≥ F; G < D ≤ I; J < E ≤ H
Conclusions:
I. G < E
II. H ≥ F
III. E < D
Statements: H ≥ I > J, K > J, L = M ≥ J
Conclusions:
I. L > K
II. H > J
Statement: D > A ≥ R = B ≤ M < U
Conclusions:
I. U > R
II. D ≥ M
In the question, assuming the given statements to be true, Find which of the conclusion (s) among given three conclusions is /are definitely true and ...
Statements: O > Q < R > P = U ≥ S > T ≥ N
Conclusion
I: S < R
II: U > N
Statements: R ≥ S = T; R < U < V; W > X > V
Conclusion:
I. U > T
II. T < V
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