The definition of an inverse of a function is "the set of ordered pairs obtained by interchanging the first and second elements of each pair in the original function."
This means too find the inverse of a function using ordered pairs, switch the x- and y-coordinates.
This means that (-3, 9) goes to (9, -3); (-1, 1) goes to (1, -1); (0, 0) goes to (0, 0); and (2, 4) goes to (4, 2).
Answer: 1. HA cannot be a reason to show given triangles are congruent as it is not given that they have an acute angle common in both the triangles.
2. HL can be a reason to show given triangles are congruent as the triangles are right triangle with equal legs and hypotenuse.
3. SAS can be a reason to show given triangles are congruent as there are two congruent sides in both triangles and included angles ∠A=∠D=90° [right angle].
4. LA cannot be a reason to show given triangles are congruent as it is not given that they have an acute angle common in both the triangles.
5. AAS cannot be a reason to show given triangles are congruent as it is not given that they have two angles common in both the triangles.
6.SSS can be a reason to show given triangles are congruent as it is shown that all the sides of one triangle is congruent to the other.