Question

wxyz is a rectangle za and xb are two perpendicular drawn on diagonal wy prove that az=bx.​

Answer 1

Answer:

triangle zwy equal wxy

wx equal zy

ey is common line

hence prove by SSs congrence rule

Answer 2

Given: WXYZ is a rectangle and ZA abd XB are the perpendicular on the diagonal

To prove: ZA = XB

Step-by-step explanation:

Consider Δ ZAY and Δ XBW

∠ZAY = ∠ XBW                ( each 90° as ZA and XB are perpendicular )

∠ZYA =∠XWB                  (ZY || WX and corresponding angles are equal)

ZY = WX                          (Opposite sides of a rectangle)

Therefore

Δ ZAY ≅ Δ XBW                  (Angle - Angle - Side criteria)

So

AZ= BX  (C.P.C.T i.e Corresponding Parts of Congruent Triangles )

Hence proved that AZ=BX