z
trangles BAC and DAC.
(i) IS ABAC = ADACI Give reasons.
(ii) Is AB=AD? Justify your answer.
(v) Is CD=CB? Give reasons.
B.
Fig 7.28
F
7.7 CONGRUENCE AMONG RIGHT-ANGLED TRIANGLES
Congruence in the case of two right triangles deserves special attention. In such triangle
obviously, the right angles are equal. So, the congruence criterion becomes easy.
Can you draw AABC (shown in Fig 7.29) with ZB = 90°, if
(i) only BC is known?
(ii) only ZC is known?
() ZA and Care known?
(iv) AB and BC are known?
AC (v) AC and one of AB or BC are known?
Fig 7.29 Try these with rough sketches. You will find that (iv) and (v) help you to draw the
triangle. But case (iv) is simply the SAS condition. Case (V) is something new. This leads
the following criterion:
RHS Congruence criterions
C under a correspondence, the hypotenuse and one side of a right-angled triangle an
respectively equal to the hypotenuse and one side of another right-angled triangle, tha
the triangles are congruent.
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