NCERT

Question 6: Show that of all line segments drawn from a given point not on it, the perpendicular line segment is the shortest. Question 5 Home

Question 5: In Fig 7.51, PR > PQ and PS bisects ∠QPR. Prove that ∠PSR > ∠PSQ. Question 4 Question 6

Question 4: AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD (see Fig. 7.50). Show that ∠A > ∠C and ∠B > ∠D. Question 3 Question 5

Question 3: In Fig.7.49, ∠B < ∠A and ∠C < ∠D. Show that AD < BC. Question 2 Question 4

Question 2: In Fig. 7.48, sides AB and AC of △ABC are extended to points P and Q respectively. Also, ∠PBC < ∠QCB. Show that AC > AB. Question 1 Question 3

Question 1: Show that in a right angled triangle, the hypotenuse is the longest side. Ex: 7.3 | Question 5 Question 2

Question 5: ABC is an isosceles triangle with AB = AC. Draw AP ⊥ BC to show that ∠B = ∠C. Question 4 Ex: 7.4 | Question 1

Question 4: BE and CF are two equal altitudes of a triangle ABC. Using RHS congruence rule, prove that the triangle ABC is isosceles. Question 3 Question 5

Question 3: Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR and median PN of △PQR (see Fig. 7.40). Show that: (i) △ABM ≅ △PQN (ii) △ABC ≅ △PQR…