[" 25." angfa "vec q,OA=OC" añt "AB=BC(3)/(8)1" fros anfrum "(1)/(100)],[" (ii) "/_AOB=90^(@)],[" (ii) "/_AOD~=/_COD],[" (iii) "AD=CD]

In the following figure, OA = OC and AB = BC. Prove that : (i) angle AOB = 90^(@) (ii) Delta AOD ~= Delta COD (iii) AD = CD

In the following figure, OA = OC and AB = BC. Prove that : (i) angleAPB=90^(@) (ii) DeltaAOD cong DeltaCOD (iii) AD = CD

In Fig. ABD is a triangle right angled at A and AC bot BD show that (i) AB^(2) =BC . BD , (ii) AC^(2) = BC . DC , (iii) AD^(2) = BD . CD

In Figure 3,AD perp BC and BD=(1)/(3)CD Prove that 2CA^(2)=2AB^(2)+BC^(2)

Express the following fractions as decimals: 12(1)/(2) (ii) 75(1)/(4) (iii) 25(1)/(8) (iv) 18(3)/(24)

The following figure shows a trapezium ABCD in which AB is parallel to DC and AD = BC. Prove that : (i) angleDAB=angleCBA (ii) angleADC=angleBCD (iii) AC = BD (iv) OA = OB and OC = OD

In Fig., ABD is a triangle right angled at A and AC bot BD . Show that: (i) AB^(2) = BC.BD (ii) AC^(2) = BC.DC (iii) AD^(2) = BD.CD

ABCD is a trapezium in which AB||CD and AD=BC . Show that (i) /_A=/_B (ii) /_C=/_D (iii) triangle ABC ~==triangle BAD (iv) "diagonal " AC = "diagonal " BD

In acute angled triangle ABC, AD is median and AE is altitude , prove that: (i) AC^(2) = AD^(2)+BC xx DE + 1/4 BC^(2) (ii) AB^(2)= AD^(2)- BC xx DE+ 1/4 BC^(2) (iii) AC^(2) + AB^(2) = 2AD^(2) + 1/2 BC^(2)