Given: quadrilateral pqrs is a rectangle. prove: pr = qs

Given: Quadrilateral P QR S  is a rectangle.

To prove :PR= Q S

Construction : Join PR and Q S.

Proof: In Rectangle PQRS, and

→ taking two triangles PSR and Δ QRS

  1. PS = Q R

  2.  ∠ PS R  = ∠ Q RS  [Each being 90°]

  3. S R is common.

→ ΔP SR ≅  Δ Q RS → [Side-Angle-Side Congruency]

∴ PR =Q S [ corresponding part of congruent triangles ]

Hence proved.

no, the equation would be invalid since they are both not equal.

step-by-step explanation:

here you got

4y-6+4y 2-9

first, you would simplify the equation on the form.

4y-6+4y 2-9

then, move all the terms that contains a y to the left and all the other terms to the right.

+4y-4y+-9-6

finally, you will simplify the left and the right side of the equation.

y=-3