Question

Can you explain the very last two lines at the bottom ASA: and SSS: and what did the teacher mean at the top by saying X__?

Answer 1

Given the image, the congruency can be made possible by;

ANSWER

For Angle side Angle, the triangle is congruent if\

$\hat{OWX}\cong\hat{OYZ};\hat{OXW}\cong\hat{OZY}$

Also for side side side, the triangle is congruent if;

$\bar{OW}\cong\bar{OY};\bar{OX}\cong\bar{OZ}$

For HL in Question 1

We must establish that the triangle is a right-angle triangle before looking at the hypotenuse leg. Therefore we will have;

Answer

$\bar{CAB}\cong\bar{\text{FDE}}=90^0$

Also,

$BA\cong DE$