English
Maharashtra State BoardSSC (English Medium) 9th Standard

In the Following Example, A Pair of Triangles is Shown. Equal Parts of Triangle in Each Pair Are Marked with the Same Sign. By ______ test ΔLMN ≅ ΔPTR

Advertisements
Advertisements

Question

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

Fill in the Blanks
Advertisements

Solution

By Hypotenuse Side Test

shaalaa.com
  Is there an error in this question or solution?
Chapter 3: Triangles - Practice Set 3.2 [Page 31]

APPEARS IN

Balbharati Mathematics 2 [English] Standard 9 Maharashtra State Board
Chapter 3 Triangles
Practice Set 3.2 | Q 1. (iv) | Page 31

RELATED QUESTIONS

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


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. 


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


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


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


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


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 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.


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°).


Which of the following pairs of triangles are congruent? Give reasons
ΔABC;(∠B = 90°,BC = 6cm,AB = 8cm);
ΔPQR;(∠Q = 90°,PQ = 6cm,PR = 10cm).


In the figure, ∠CPD = ∠BPD and AD is the bisector of ∠BAC. Prove that ΔCAP ≅ ΔBAP and CP = BP.


In the figure, RT = TS, ∠1 = 2∠2 and ∠4 = 2∠3. Prove that ΔRBT ≅ ΔSAT.


AD and BE are altitudes of an isosceles triangle ABC with AC = BC. Prove that AE = BD.


In ΔABC, AD is a median. The perpendiculars from B and C meet the line AD produced at X and Y. Prove that BX = CY.


In triangles ABC and PQR, ∠A = ∠Q and ∠B = ∠R. Which side of ∆PQR should be equal to side BC of ∆ABC so that the two triangles are congruent? Give reason for your answer.


If ∆PQR is congruent to ∆STU (see figure), then what is the length of TU?


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×