हिंदी

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

Advertisements
Advertisements

प्रश्न

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.

योग
Advertisements

उत्तर

In ∆MST and ∆TBM,

side MS ≅ side TB (given)

∠MST ≅ ∠TBM (right angle)

side MT is common

∴ By Hypotenuse-side test, ∆MST ≅ ∆TBM.

∴ side ST ≅ side MB,

∠SMT ≅ ∠BTM,

∠STM ≅ ∠BMT

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 13: Congruence of triangles - Practice Set 13.2 [पृष्ठ ८७]

APPEARS IN

बालभारती Mathematics [English] Standard 8 Maharashtra State Board
अध्याय 13 Congruence of triangles
Practice Set 13.2 | Q 1.1 | पृष्ठ ८७
बालभारती Mathematics Integrated [English] Standard 8 Maharashtra State Board
अध्याय 13 Congruence of Triangles
Practice Set 13.2 | Q 1. (1) | पृष्ठ ६२

संबंधित प्रश्न

If ΔABC ≅ ΔFED under the correspondence ABC ↔ FED, write all the Corresponding congruent parts of the triangles.


In a ΔPQR, if PQ = QR and L, M and N are the mid-points of the sides PQ, QR and RP
respectively. Prove that: LN = MN. 


In a ΔABC, if AB = AC and ∠B = 70°, find ∠A. 


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


In triangles ABC and PQR, if ∠A = ∠R, ∠B = ∠P and AB = RP, then which one of the following congruence conditions applies:


In a ΔABC, if AB = AC and BC is produced to D such that ∠ACD = 100°, then ∠A =


In the following example, a pair of triangles is shown. Equal parts of triangles 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

Δ ABC  ≅  ΔPQR


Observe the information shown in pair of triangle given below. State the test by which the two triangles are congruent. Write the remaining congruent parts of the triangles.

From the information shown in the figure,

In ΔABC and ΔPQR

∠ABC ≅ ∠PQR

seg BC ≅ seg QR

∠ACB ≅ ∠PRQ

∴ ΔABC ≅ ΔPQR         ...`square` test

∴ ∠BAC ≅ `square`               ...corresponding angles of congruent triangles.

`{:("seg AB" ≅ square),("and"  square ≅ "seg PR"):}}`      ...corresponding sides of congruent triangles


In triangles ABC and DEF, AB = FD and ∠A = ∠D. The two triangles will be congruent by SAS axiom if ______.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×