मराठी

If ∆PQR ≅ ∆EDF, then is it true to say that PR = EF? Give reason for your answer - Mathematics

Advertisements
Advertisements

प्रश्न

If ∆PQR ≅ ∆EDF, then is it true to say that PR = EF? Give reason for your answer

कारण सांगा
Advertisements

उत्तर

Yes, if ΔPQR ≅ ΔEDF, then it means that corresponding angles and their sides are equal because we know that, two triangles are congruent, if the sides and angles of one triangle are equal to the corresponding sides and angles of other triangle.

Here, ΔPQR ≅ ΔEDF

∴ PQ = ED, QR = DF and PR = EF

Hence, it is true to say that PR = EF.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Triangles - Exercise 7.2 [पृष्ठ ६५]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 9
पाठ 7 Triangles
Exercise 7.2 | Q 7. | पृष्ठ ६५

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

In an isosceles triangle ABC, with AB = AC, the bisectors of ∠B and ∠C intersect each other at O. Join A to O. Show that:

  1. OB = OC
  2. AO bisects ∠A

ABC and DBC are two isosceles triangles on the same base BC (see the given figure). Show that ∠ABD = ∠ACD.


Find the measure of each exterior angle of an equilateral triangle. 


Determine the measure of each of the equal angles of a right-angled isosceles triangle.


AB is a line seg P and Q are points on opposite sides of AB such that each of them is equidistant from the points A and B (See Fig. 10.26). Show that the line PQ is perpendicular bisector of AB. 

 


The vertical angle of an isosceles triangle is 100°. Find its base angles. 


Find the measure of each exterior angle of an equilateral triangle. 

 


Two lines AB and CD intersect at O such that BC is equal and parallel to AD. Prove that the lines AB and CD bisect at O. 


Which of the following statements are true (T) and which are false (F) : 

If the altitude from one vertex of a triangle bisects the opposite side, then the triangle may be isosceles.  


Fill the blank in the following so that the following statement is true. 

Sides opposite to equal angles of a triangle are ...... 


Fill the blank in the following so that the following statement is true. 

In a ΔABC if ∠A = ∠C , then AB = ...... 


O is any point in the interior of ΔABC. Prove that
(i) AB + AC > OB + OC
(ii) AB + BC + CA > OA + QB + OC 
(iii) OA + OB + OC >` 1/2`(AB + BC + CA) 


Which of the following statements are true (T) and which are false (F)? 

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


Which of the following statements are true (T) and which are false (F)? 

Sum of any two sides of a triangle is greater than twice the median drawn to the third side. 


In a ΔABC, if ∠A = 60°, ∠B = 80° and the bisectors of ∠B and ∠C meet at O, then ∠BOC =


In the given figure, if AB ⊥ BC. then x =


In the given figure, for which value of x is l1 || l2?


The base BC of triangle ABC is produced both ways and the measure of exterior angles formed are 94° and 126°. Then, ∠BAC =


Find all the angles of an equilateral triangle.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×