हिंदी

In Triangles Abc and Pqr, If ∠A = ∠R, ∠B = ∠P and Ab = Rp, Then Which One of the Following Congruence Conditions Applies:

Advertisements
Advertisements

प्रश्न

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

विकल्प

  •  SAS

  • ASA

  • SSS

  • RHS

MCQ
Advertisements

उत्तर

In  ΔABC andΔPQR

It is given that

AB = RP

∠B = ∠P

∠A = ∠R

Since given two sides and an angle are equal so it obeys ASA

⇒ ΔABC ≅ ΔPQR

Hence (b) ASA.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 12: Congruent Triangles - Exercise 12.8 [पृष्ठ ८५]

APPEARS IN

आर.डी. शर्मा Mathematics [English] Class 9
अध्याय 12 Congruent Triangles
Exercise 12.8 | Q 5 | पृष्ठ ८५

संबंधित प्रश्न

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 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


If the following pair of the triangle is congruent? state the condition of congruency : 
In  ΔABC and ΔDEF,  ∠B = ∠E = 90o; AC = DF and BC = EF.


In a triangle, ABC, AB = BC, AD is perpendicular to side BC and CE is perpendicular to side AB. Prove that: AD = CE.


Which of the following pairs of triangles are congruent? Give reasons
ΔABC;(∠B = 70°,BC = 6cm,∠C = 50°);
ΔXYZ;(∠Z = 60°,XY = 6cm,∠X = 70°).


In the given figure ABCD is a parallelogram, AB is Produced to L and E is a midpoint of BC. Show that:

a. DDCE ≅ DLDE
b. AB = BL
c. DC = `"AL"/(2)`


If the given two triangles are congruent, then identify all the corresponding sides and also write the congruent angles


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

∆YZX ≅ ∆PQR


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×