हिंदी

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

Advertisements
Advertisements

प्रश्न

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

योग
Advertisements

उत्तर

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
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Triangles - Practice Set 3.2 [पृष्ठ ३२]

APPEARS IN

बालभारती Mathematics 2 [English] Standard 9 Maharashtra State Board
अध्याय 3 Triangles
Practice Set 3.2 | Q 5. | पृष्ठ ३२

संबंधित प्रश्न

If ΔDEF ≅ ΔBCA, write the part(s) of ΔBCA that correspond to ∠E 


Prove that the sum of three altitudes of a triangle is less than the sum of its sides.


ΔPQR and ΔABC is not congruent to ΔRPQ, then which of the following is not true:


In the following example, a pair of triangles is shown. Equal parts of triangle in each pair are marked with the same sign. Observe the figure and state the test by which the triangle in each pair are congruent.

 By ______ test

ΔXYZ ≅ ΔLMN


In the following example, a pair of triangles is shown. Equal parts of triangle in each pair are marked with the same sign. Observe the figure and state the test by which the triangle in each pair are congruent.

By ______ test

ΔLMN ≅ ΔPTR


As shown in the following figure, in ΔLMN and ΔPNM, LM = PN, LN = PM. Write the test which assures the congruence of the two triangles. Write their remaining congruent parts.


In the pair of triangles given below, the parts shown by identical marks are congruent. State the test and the one-to-one correspondence of vertices by which the triangles in the pair are congruent, the remaining congruent parts.


If the following pair of the triangle is congruent? state the condition of congruency: 

In ΔABC and ΔPQR, BC = QR, ∠A = 90°, ∠C = ∠R = 40° and ∠Q = 50°.


In the following diagram, AP and BQ are equal and parallel to each other. 

Prove that:  

  1. ΔAOP ≅ ΔBOQ.
  2. AB and PQ bisect each other.

The following figure has shown a triangle ABC in which AB = AC. M is a point on AB and N is a point on AC such that BM = CN.
Prove that:  (i) AM = AN  (ii) ΔAMC ≅ ΔANB


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 = 5cm,BC = 7cm,CA = 9cm);
ΔKLM;(KL = 7cm,LM = 5cm,KM = 9cm).


In the figure, BC = CE and ∠1 = ∠2. Prove that ΔGCB ≅ ΔDCE.


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


In ΔABC, AB = AC, BM and Cn are perpendiculars on AC and AB respectively. Prove that BM = CN.


Two right-angled triangles ABC and ADC have the same base AC. If BC = DC, prove that AC bisects ∠BCD.


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


The top and bottom faces of a kaleidoscope are congruent.


Two figures are congruent, if they have the same shape.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×