∆ XYZ ≅ ∆ XPZ

0 votes
1 view
asked Jun 12 in Class VII Maths by aditya23 (-2,194 points)

(i) ∆ XYZ ≅ ∆ XPZ
(ii) YZ = PZ
(iii) ∠YXZ = ∠PXZ

Please log in or register to answer this question.

1 Answer

0 votes
answered Jun 12 by muskan15 (-3,451 points)

In right △ XYZ and △XPZ,

Side XY = Side XP (given)

Hypotenuse XZ = Hypotenuse XZ (common)

 (i) ∴ △XYZ ≅ △XPZ  (R.H.S. Axiom)

Hence (ii) YZ = PZ  (c.p.c.t.)

and (iii) ∠YXZ  = ∠PXZ  (c.p.c.t.)

 Hence proved.

Related questions

0 votes
1 answer