$$\(A, B, C\)$$ and $$\(D\)$$ are points on the circle, centre $$\(O\)$$. $$\(M\)$$ is the midpoint of $$\(A B\)$$ and $$\(N\)$$ is the midpoint of $$\(C D\)$$. $$\( OM=O N \)$$ Explain, giving reasons, why triangle $$\(O A B\)$$ is congruent to triangle $$\(O C D\)$$. ................................................................................................................................................. . ................................................................................................................................................. . ................................................................................................................................................. . .................................................................................................................................................
Exam No：0580_s20_qp_43 Year：2020 Question No：8(c)
Answer:
\(O A=O B=O C=O D\)
Radii
\(A B=C D\)
chords equidistant from centre are equal
SSS implies congruent
Radii
\(A B=C D\)
chords equidistant from centre are equal
SSS implies congruent
Knowledge points:
E4.5 Use the basic congruence criteria for triangles (SSS, ASA, SAS, RHS).
Solution:
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