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Year 9 Maths Advanced Congruence and Similar Figures

Congruent Triangle Proofs

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Question 1
41791

\(HIJK\) is a rhombus with equal sides. Diagonals are \(KI\) and \(JH\).

(i) Is \(Δ KJL ≡ Δ IHL\)? Answer Yes or No.
(ii) If Yes, which congruence test proves it?
(iii) Is \(Δ KJL ≡ Δ IJL\)? Answer Yes or No.
(iv) If Yes, which congruence test proves it?

Congruence figure 41791Congruent-figure diagram with equal-side/parallel/diagonal marks.HHIIKKJJLL
Part a:
A.
Yes
Correct
B.
No
C.
Only if a right angle is marked
D.
Cannot tell from the diagram
Part b:
A.
AAA
B.
AAS
Correct
C.
SSA
D.
None of these
Part c:
A.
No
B.
Only if a right angle is marked
C.
Yes
Correct
D.
Cannot tell from the diagram
Part d:
A.
AAA
B.
SSA
C.
None of these
D.
SAS
Correct

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