Question

Choose the correct correspondence 5 ​

Answer 1

Angle 5(∠5) corresponds to angle 6(∠6). correct option a.

Step-by-step explanation:

In the given parallelogram or rectangle , we have a angle 6(∠6) . We need to find which angle is in correspondence with  angle 6(∠6) of parallelogram URST .

Angle 6 ( ∠6):

In triangle UTR & TSR

∠UTR = ∠TRS ( By property of alternate interior angles)

∵ UR || TS  and TR = TR ( Common side of triangle is equal)

also, ∠URT = ∠RTS ( By property of alternate interior angles)

By using ASA congruence property,

ΔUTR≅ΔTSR .

So there's correspondence of angle 5(∠5)  with  angle 6(∠6) .

Angle 7 ( ∠7):

In triangle UTR , we see that angle 7(∠7) and In triangle RTS, angle 5(∠5) are not related to each other ( They maybe bisector but this isn't mentioned here !) So there's no correspondence of angle 5(∠5)  with  angle 7(∠7) .

Angle 8 ( ∠8):

In triangle UTR , we see that angle 8(∠8) and angle 5(∠5) are not related to each other ( They maybe equal but that isn't mentioned here !) So there's no correspondence of angle 5(∠5)  with  angle 8(∠8) .