Solve this: 10 PQRS is a rectangle,A and B are points on side PQ and SR respectively such that - Maths - Congruence of Triangles

Question

Solve this:

10 PQRS is a rectangle,A and B are points on side PQ and SR
respectively such that BQ=AR Show that AQ=BR and ∠BQR=∠ARQ
(see figure 10)

Vibhav Telang · Answer

angle AQR=angle BRQ (90 degrees), AR=BQ,QR ia common side so
triangle BRQ is congruent to triangle ARQ by RHS test AQ=BR and
angle ARQ = angle BRQ because corresponding parts of congruent
traingles are equal

Solve this: 10.PQRS is a rectangle,A and B are points on side PQ and SR respectively such that BQ=AR. Show that AQ=BR and ∠BQR=∠ARQ.(see figure 10)

Solve this:

10.PQRS is a rectangle,A and B are points on side PQ and SR respectively such that BQ=AR. Show that AQ=BR and $∠BQR=∠ARQ.(see figure 10)$