(a) If you have to use SSS criterion, then you need to show:
(i)
(ii)
(iii)
(b) If it is given that and you are to use SAS criterion, you need to have:
(i)
(ii)
(c) If it is given that and you are to use ASA criterion, you need to have:
(i) ?
(ii) ?
Answer:
(a) Using SSS criterion,
(i)
(ii)
(iii)
(b) Given:
Using SAS criterion,
(i)
(ii)
(c) Given:
Using ASA criterion,
(i)
(ii)
2. You have to show that . In the following proof, supply the missing reasons:
Step | Reasons |
(i) | (i)___________ |
(ii) | (ii) ____________ |
(iii) | (iii) ____________ |
(iv) | (iv) ___________ |
Answer:
Steps and Reasons are shown in below table:
Steps | Reasons |
(i) | (i) Given |
(ii) | (ii) Given |
(iii) | (iii) Common |
(iv) | (iv) SAS congruence rule |
(iv) SAS congruence rule: as two sides and angle included between these sides of are equal to two sides and the angle included between these side of .