English
Maharashtra State BoardSSC (English Medium) 9th Standard

In the given figure, seg AB ≅ seg CB and seg AD ≅ seg CD. Prove that ΔABD ≅ ΔCBD. - Geometry

Advertisements
Advertisements

Question

In the given figure, seg AB ≅ seg CB and seg AD ≅ seg CD. Prove that ΔABD ≅ ΔCBD.

Sum
Advertisements

Solution

In △ABD and △CBD

seg AB = seg CB       ...(Given)

seg AD = seg CD      ...(Given)

seg BD = seg BD       ...(Common side)

△ABD ≅ △CBD          ...(SSS test)

shaalaa.com
  Is there an error in this question or solution?
Chapter 3: Triangles - Practice Set 3.2 [Page 32]

APPEARS IN

Balbharati Mathematics 2 [English] Standard 9 Maharashtra State Board
Chapter 3 Triangles
Practice Set 3.2 | Q 5. | Page 32

RELATED QUESTIONS

If ΔDEF ≅ ΔBCA, write the part(s) of ΔBCA that correspond to `bar(DF)`


In two right triangles one side an acute angle of one are equal to the corresponding side and angle of the othe Prove that the triangles are congruent.


Mark the correct alternative in each of the following:

If ABC ≅  ΔLKM, then side of ΔLKM equal to side AC of ΔABC is


In triangles ABC and PQR three equality relations between some parts are as follows:
AB = QP, ∠B = ∠P and BC = PR

State which of the congruence conditions applies:


In ΔPQR ≅ ΔEFD then ED =


Which of the following is not a criterion for congruence of triangles?


In the given figure, AB ⊥ BE and FE ⊥ BE. If BC = DE and AB = EF, then ΔABD is congruent to


In the given figure, if AE || DC and AB = AC, the value of ∠ABD is


In the given figure, X is a point in the interior of square ABCD. AXYZ is also a square. If DY = 3 cm and AZ = 2 cm, then BY =


In the given figure, ∠P ≅ ∠R seg, PQ ≅ seg RQ. Prove that, ΔPQT ≅ ΔRQS.


In the pair of triangles in the following figure, parts bearing identical marks are congruent. State the test and the correspondence of vertices by the triangle in pairs is congruent.


State, whether the pairs of triangles given in the following figures are congruent or not:


State, whether the pairs of triangles given in the following figures are congruent or not:


Which of the following pairs of triangles are congruent? Give reasons
ΔABC;(AB = 8cm,BC = 6cm,∠B = 100°);
ΔPQR;(PQ = 8cm,RP = 5cm,∠Q = 100°).


In the figure, BM and DN are both perpendiculars on AC and BM = DN. Prove that AC bisects BD.


In ΔABC, X and Y are two points on AB and AC such that AX = AY. If AB = AC, prove that CX = BY.


If the perpendicular bisector of the sides of a triangle PQR meet at I, then prove that the line joining from P, Q, R to I are equal.


In the figure, ∠BCD = ∠ADC and ∠ACB =∠BDA. Prove that AD = BC and ∠A = ∠B.


Given that ∆ABC ≅ ∆DEF List all the corresponding congruent sides


Without drawing the triangles write all six pairs of equal measures in the following pairs of congruent triangles.

∆XYZ ≅ ∆MLN


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×