हिंदी

Which of the Following Statements Are True (T) and Which Are False (F)? of All the Line Segments that Can Be Drawn from a Point to a Line Not Containing It, The Perpendicular Lin - Mathematics

Advertisements
Advertisements

प्रश्न

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

Of all the line segments that can be drawn from a point to a line not containing it, the perpendicular line segment is the shortest one. 

Advertisements

उत्तर

True (T) 

Reason: The perpendicular distance is the shortest distance from a point to a line not containing it.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 12: Congruent Triangles - Exercise 12.6 [पृष्ठ ८१]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 9
अध्याय 12 Congruent Triangles
Exercise 12.6 | Q 8.6 | पृष्ठ ८१

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

In Figure AB = AC and ∠ACD =105°, find ∠BAC.  


In a ΔABC, if AB = AC and ∠B = 70°, find ∠A. 


In Figure 10.24, AB = AC and ∠ACD =105°, find ∠BAC. 

 


If the bisector of the exterior vertical angle of a triangle be parallel to the base. Show that the triangle is isosceles.  


ABC is a triangle in which BE and CF are, respectively, the perpendiculars to the sides AC and AB. If BE = CF, prove that ΔABC is isosceles  


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

The two altitudes corresponding to two equal sides of a triangle need not be equal. 


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

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


Prove that the perimeter of a triangle is greater than the sum of its 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. 


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

Sum of any two sides of a triangle is greater than the third side. 

 


Fill in the blank to make the following statement true. 

Difference of any two sides of a triangle is........ than the third side. 

 


If the angles of a triangle are in the ratio 2 : 1 : 3, then find the measure of smallest angle.


In ΔABC, if ∠A = 100°, AD bisects ∠A and AD ⊥ BC. Then, ∠B =


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


In the given figure, x + y =


In the given figure, AB and CD are parallel lines and transversal EF intersects them at Pand Q respectively. If ∠APR = 25°, ∠RQC = 30° and ∠CQF = 65°, then


D is a point on the side BC of a ∆ABC such that AD bisects ∠BAC. Then ______.


Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be ______.


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


CDE is an equilateral triangle formed on a side CD of a square ABCD (Figure). Show that ∆ADE ≅ ∆BCE.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×