# Solve this: Q4) State the correspondence between the vertices, sides and angles of the following pairs of congruent triangles.       (i)$∆$ABC $\cong$ ​$∆$XYZ                             (ii) ​$∆$ABC $\cong$ ​$∆$YZX       (iii) ​$∆$PQR $\cong$ ​$∆$EFG                           (iv) ​$∆$PRQ $\cong$$∆$EFG Q5) Prove that the bisector of the top angle of an isosceles triangle bisects the base at right angles. Q6) Show that in an isosceles triangle, the angles opposite equal sides are equal.(Hint. Draw a perpendicular to the unequal side from the vertex.) Q7) In the isosceles ​$∆$ABC , AB = AC. Perpendiculars BD and CE are drawn from the vertices B and C, to the opposite sides. Show that BD = CE.                         ​ Q8) In the square ABCD, show that the two triangles ABC and ADC are congruent to each other.                                             ​

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Question 5)

Question 7)

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