NCERT Solutions for Class 9 Maths Chapter 7 Triangles

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NCERT Solutions for Class 9 Maths Chapter 7 Triangles are available in PDF format at BYJU
NCERT Solutions for Class 9 Maths Chapter 7 Triangles are available in PDF format at BYJU'S. These Class 9 Maths NCERT Solutions are curated as per 2023-24 CBSE exam guidelines.
Q. in quadrilateral ACBD, AC = AD and AB bisects ∠A. Show that △ABC ≅△ABD. What can you say about BC and BD?
Q. ABCD is a quadrilateral in which AD = BC and ∠DAB = ∠CBA. Prove that, (i) △ABD ≅△BAC (ii) BD = AC (iii) ∠ABD = ∠BAC
Grade 9 Triangles Q. AD and BC are equal perpendiculars to a line segment AB. Show that CD bisects AB.
Grade 9 Triangles Q. Line l is the bisector of an angle ∠A and B is any point on l. BP and BQ are perpendiculars from B to the arms of ∠A (see the given figure). Show that: ΔAPB ≅ΔAQB
Q. In the given figure, AC = AE, AB = AD and ∠BAD = ∠EAC. Show that BC = DE.
Grade 9 Triangles Q. AB is a line segment and P is its mid-point. D and E are points on the same side of AB such that ∠BAD = ∠ABEand∠EPA = ∠DPB (See the given figure). Show that ΔDAP ≅ΔEBP
Grade 9 Triangles Q. AD is an altitude of an isosceles triangles ABC in which AB = AC. Show that AD bisets BC
Grade 9 Triangles Q. Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of ΔPQR (see the given figure). Show that: ΔABM ≅ΔPQN
Grade 9 Triangles Q. BE and CF are two equal altitudes of a triangle ABC. Using RHS congruence rule, prove that the triangle ABC is isosceles.
Grade 9 Triangles Q. Show that in a right angled triangle, the hypotenuse is the longest side.
Grade 9 Traingles Q. Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of ΔPQR (see the given figure). Show that: ΔABM ≅ΔPQN
Grade 9 Triangles Q. AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD see the given figure. Show that Angle A Grater than Angle C and Angle B Greater than Angle D.
Grade 9 Triangles Q. Show that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.