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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 ∠BAD = ∠ABE and ∠EPA = ∠DPB (see Fig.). Show that: (i) ΔDAP ≅ ΔEBP (ii)…

6. In Fig., AC = AE, AB = AD and ∠BAD = ∠EAC. Show that BC = DE.   Triangles Exercise 7.1 Previous Next Class 9 Triangles Exercise 7.1 1. In quadrilateral ACBD, AC = AD and AB bisects ∠A…

5. 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 Fig.). Show that:(i) ΔAPB ≅ ΔAQB(ii) BP = BQ or…

4. l and m are two parallel lines intersected by another pair of parallel lines p and q (see Fig.). Show that ΔABC ≅ ΔCDA.   Triangles Exercise 7.1 Previous Next Class 9 Triangles Exercise 7.1 1. In quadrilateral ACBD,…

3. AD and BC are equal perpendiculars to a line segment AB (see Fig.). Show that CD bisects AB. Triangles Exercise 7.1 Previous Next Class 9 Triangles Exercise 7.1 1. In quadrilateral ACBD, AC = AD and AB bisects ∠A…

2. ABCD is a quadrilateral in which AD = BC and ∠DAB = ∠CBA (see Fig.). Prove that (i) ΔABD ≅ ΔBAC (ii) BD = AC (iii) ∠ABD = ∠BAC.   Triangles Exercise 7.1 Previous Next Class 9 Triangles Exercise 7.1…

1. In quadrilateral ACBD, AC = AD and AB bisects ∠A (see Fig.). Show that ΔABC ≅ ΔABD. What can you say about BC and BD? Triangles Exercise 7.1 Previous Next Class 9 Triangles Exercise 7.1 1. In quadrilateral ACBD,…