In a right triangle ABC,∠C=90∘.M is the midpoint of hypotenuse AB.C is joined to M and produced to a point D such that DM=CM. Point D is joined to point B.△AMC≅△BMD by:
ASA
RHS
SSS
SAS
A
RHS
B
SSS
C
SAS
D
ASA
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Solution
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In △AMC and △BMD, ∠AMC=∠BMD ....(Vertically opposite angles) AM=MB .....(M is a mid point) DM=CM .... (given) Thus, △AMC≅△BMD ....(by SAS rule)
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Q1
In a right triangle ABC,∠C=90∘.M is the midpoint of hypotenuse AB.C is joined to M and produced to a point D such that DM=CM. Point D is joined to point B.△AMC≅△BMD by:
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Q2
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