मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता ९ वी

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

प्रश्न

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

रिकाम्या जागा भरा
Advertisements

उत्तर

By Hypotenuse Side Test

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Triangles - Practice Set 3.2 [पृष्ठ ३१]

APPEARS IN

बालभारती Mathematics 2 [English] Standard 9 Maharashtra State Board
पाठ 3 Triangles
Practice Set 3.2 | Q 1. (iv) | पृष्ठ ३१

संबंधित प्रश्‍न

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


If ΔPQR≅ ΔEFD, then ∠E =


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


In the following diagram, ABCD is a square and APB is an equilateral triangle.

(i) Prove that: ΔAPD≅ ΔBPC
(ii) Find the angles of ΔDPC.


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:


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


In the given figure, prove that:
(i) ∆ ACB ≅ ∆ ECD
(ii) AB = ED


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 a circle with center O. If OM is perpendicular to PQ, prove that PM = QM.


In the figure, AB = EF, BC = DE, AB and FE are perpendiculars on BE. Prove that ΔABD ≅ ΔFEC


O is any point in the ΔABC such that the perpendicular drawn from O on AB and AC are equal. Prove that OA is the bisector of ∠BAC.


In the given figure, AB = DB and AC = DC. Find the values of x and y.


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


“If two angles and a side of one triangle are equal to two angles and a side of another triangle, then the two triangles must be congruent.” Is the statement true? Why?


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×