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 - Geometry

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

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

RELATED QUESTIONS

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


In the given figure, if AE || DC and AB = AC, the value of ∠ABD is


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.


In the adjacent figure, seg AD ≌ seg EC Which additional information is needed to show that ∆ ABD and ∆ EBC will be congruent by A-A-S test?


On the sides AB and AC of triangle ABC, equilateral triangle ABD and ACE are drawn. Prove that: 

  1. ∠CAD = ∠BAE
  2. CD = BE

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


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


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

∆ABC ≅ ∆LMN


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×