NCERT class 9 maths chapter 7 Triangles
Question 1:In quadrilateral ACBD, AC = AD and AB bisects Ð A (see Fig. 7.16). Show that D ABC @ D ABD. What can you say about BC and BD?
Exercise 7.1 maths class 9 Chapter 7 Triangles
Question 2:ABCD is a quadrilateral in which AD = BC and Ð DAB = Ð CBA (see Fig. 7.17). Prove that (i) D ABD @ D BAC (ii) BD = AC (iii) Ð ABD = Ð BAC.
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Question 3:AD and BC are equal perpendiculars to a line segment AB (see Fig. 7.18). Show that CD bisects AB.
class 9 maths solutions Triangles
Question 4:l and m are two parallel lines intersected by another pair of parallel lines π and q (see Fig. 7.19). Show that D ABC @ D CDA.
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Question 5:Line l is the bisector of an angle Ð A and B is any point on l. BP and BQ are perpendiculars from B to the arms of Ð A (see Fig. 7.20). Show that: (i) D APB @ D AQB (ii) BP = BQ or B is equidistant from the arms of Ð A.
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Question 6:In Fig. 7.21, AC = AE, AB = AD and Ð BAD = Ð EAC. Show that BC = DE.
class 9 Maths NCERT Solutions Chapter 7 Triangles Exercise 7.1
Question 7:AB is a line segment and P is its mid-point. D and E are points on the same side of AB such that Ð BAD = Ð ABE and Ð EPA = Ð DPB (see Fig. 7.22). Show that (i) D DAP @ D EBP (ii) AD = BE
Question 8:In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that DM = CM. Point D is joined to point B (see Fig. 7.23). Show that: (i) D AMC @ D BMD (ii) Ð DBC is a right angle. (iii) D DBC @ D ACB (iv) CM = 1 2 AB