Home
Class 12
MATHS
(VI) A DO- Bisects Bisects RABCD is a tr...

(VI) A DO- Bisects Bisects RABCD is a trapezium, in which AB || DC and AD = BC (see figure 8.23). Show that (i) ZA = ZB (i) LC = ZD (iii) AABC = ABAD (iv) Diagonal AC = Diagonal BD. Figure 8.23 Draw a line parallel to yo toka DA which is the extended arm

Promotional Banner

Similar Questions

Explore conceptually related problems

ABCD is a trapezium in which AB||CD and AD = BC (See Fig.) Show that diagonal AC = diagonal BD.

ABCD is a trapezium in which AB||CD and AD = BC (See Fig.) Show that diagonal AC = diagonal BD.

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 Figure, A B C D is a trapezium in which A B || C D and A D=B C . Show that : (i) /_A=/_B (ii) /_C=/_D (iii) A B C~= B A D (iv) diagonal A C=d i agon a lB D

ABCD is a trapezium in which AB ll CD and AD=BC Show that (i) /_A=/_B (ii) /_C=/_D(iii) DeltaABC~= DeltaBAD (iv) diagonal AC=diagonal BD [Hint Extend AB and draw a line through C parallel to DA intersecting AB produced at E]

ABCD is a quadrilateral in which AD = BC and angle DAB = angle CBA (see the given figure). Prove that ( i ) triangle ABD = triangle BAC, ( ii) BD = AC and (iii) angle ABD = angle BAC

ABC is an isosceles triangle in which AB = AC. AD bisects exterior angle PAC and CD || AB (see Fig. 8.14). Show that (i) angle DAC = angle BCA and (ii) ABCD is a parallelogram.

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 the figure, given alongside, AD bisects angle BAC. Prove that : (i) AB gt BD (ii) AC gt CD (iii) AB+AC gt BC

In the figure, given alongside, AD bisects angle BAC. Prove that : (i) AB gt BD (ii) AC gt CD (iii) AB+AC gt BC