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21 In the right \( \Delta A B C \) , right angled at \( C \) \( M \) is the mid point of hypotenuse \( A B \) Cis joined to M and produced to a point \( D \) such that \( D M = C M . \) Point \( D \) is joined to \( B \) Show that 1) \( \quad \Delta \mathrm { AMC } \cong \Delta \mathrm { BMC } \) \( \angle D B C \) is a right angle
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Q1
In right triangle ABC, right angled at C, M is the mid-point 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 (see the given figure). Show that:
(i) ΔAMC≅ΔBMD
(ii) ∠DBC is a right angle.
[ 4 Marks ]
(i) ΔAMC≅ΔBMD
(ii) ∠DBC is a right angle.
[ 4 Marks ]
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Q2
In right triangle ABC, right angle is at C,M is the mid-point 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. Show that:
∠DBC is a right angle
∠DBC is a right angle
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Q3
In right triangle ABC, right angle is at C,M is the mid-point 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. Show that:
△DBC≅△ACB
△DBC≅△ACB
View Solution
Q4
In right triangle ABC, right angled at C,M is the mid-point 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 (see figure).
Show that:
(i) ΔAMC≅ΔBMD
(ii) ∠DBC is a right angle.
(iii) ΔDBC≅ΔACB
(iv) CM=12AB
Show that:
(i) ΔAMC≅ΔBMD
(ii) ∠DBC is a right angle.
(iii) ΔDBC≅ΔACB
(iv) CM=12AB
View Solution
Q5
In right angled triangle ABC, right angled at C,M is the mid-point 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. Show that:
(i) △AMC≅△BMD
(ii) ∠DBC is a right angle.
(iii) △DBC≅△ACB
(iv) CM=12AB
(i) △AMC≅△BMD
(ii) ∠DBC is a right angle.
(iii) △DBC≅△ACB
(iv) CM=12AB
View Solution