Question

3. In the figure, given below, triangle ABC is
right-angled at B. ABPQ and ACRS are
squares. Prove that :
(i) A ACQ and A ASB
are congruent.
(ii) CQ = BS.​

Answer 1

Answer:

Step-by-step explanation:

1:AQ=AB because they are the sides of square and ANGLE QAC=angle BAS and AC=AS they are sides of square so by SAS congruency rule they are congruent2: by CPCT CQ=BS

Answer 2

Answer:

in explanation

Step-by-step explanation:

ABC is a right triangel - Given

ABPQ is a square - Given

ACRS is a square - Given

ABPG is congruent to ACRS- don't remember the theorem

QAB is a right angle - right angle theorem

SAC is a right angle- ↑

Segment AC and Ca are equal- dont remember theorem

BAC is equal to CAB - corresponding angle theorem

angle QAC is congruent to SAB- Shared angle theorem

ΔACQ and Δ ASB are congruent- shared angle theorem (not 110% on theorem name)

then its all the same steps for CQ=BS but the way to write it is

CQ=BS - CPCTC