Advertisements
Advertisements
प्रश्न
Use the information in the given figure to prove:
- AB = FE
- BD = CF
Advertisements
उत्तर
ln ΔABC and ΔEFD,
AB II EF
⇒ ∠ABC = ∠EFD ...(alternate angles)
AC = ED ...(given)
∠ACB = ∠EDF ...(given)
∴ ΔABC ≅ ΔEFD ...(AAS congruence criterion)
⇒ AB = FE ...(cpct)
and BC = DF ...(cpct)
⇒ BD + DC = CF + DC ...(B-D-C-F)
⇒ BD = CF
APPEARS IN
संबंधित प्रश्न
ABCD is a quadrilateral in which AD = BC and ∠DAB = ∠CBA (See the given figure). Prove that
- ΔABD ≅ ΔBAC
- BD = AC
- ∠ABD = ∠BAC.
In the figure, the two triangles are congruent.
The corresponding parts are marked. We can write ΔRAT ≅ ?
In Fig. 10.99, AD ⊥ CD and CB ⊥. CD. If AQ = BP and DP = CQ, prove that ∠DAQ = ∠CBP.
D, E, F are the mid-point of the sides BC, CA and AB respectively of ΔABC. Then ΔDEF is congruent to triangle
If the following pair of the triangle is congruent? state the condition of congruency :
In Δ ABC and Δ DEF, AB = DE, BC = EF and ∠ B = ∠ E.
The following figure shows a circle with center O.
If OP is perpendicular to AB, prove that AP = BP.
The perpendicular bisectors of the sides of a triangle ABC meet at I.
Prove that: IA = IB = IC.
A line segment AB is bisected at point P and through point P another line segment PQ, which is perpendicular to AB, is drawn. Show that: QA = QB.
In the following figure, OA = OC and AB = BC.
Prove that: ΔAOD≅ ΔCOD
PQRS is a parallelogram. L and M are points on PQ and SR respectively such that PL = MR.
Show that LM and QS bisect each other.
